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141502143414132 = 2232371016611591241
BaseRepresentation
bin100000001011001000001000…
…111111100011111101110100
3200120000110202200002101202100
4200023020020333203331310
5122021332342203223012
61220541104241342100
741543123011446324
oct4013101077437564
9616013680071670
10141502143414132
11410a57a4005376
1213a54091637930
1360c5796c05697
1426d2a514a5284
151155bdeb268dc
hex80b208fe3f74

141502143414132 has 144 divisors (see below), whose sum is σ = 371551811786064. Its totient is φ = 45369434880000.

The previous prime is 141502143414041. The next prime is 141502143414187. The reversal of 141502143414132 is 231414341205141.

141502143414132 is a `hidden beast` number, since 1 + 4 + 1 + 50 + 2 + 1 + 434 + 141 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64959312150756 + 76542831263376 = 8059734^2 + 8748876^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88130032 + ... + 89721272.

It is an arithmetic number, because the mean of its divisors is an integer number (2580220915181).

Almost surely, 2141502143414132 is an apocalyptic number.

141502143414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141502143414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185775905893032).

141502143414132 is an abundant number, since it is smaller than the sum of its proper divisors (230049668371932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141502143414132 is a wasteful number, since it uses less digits than its factorization.

141502143414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592050 (or 1592045 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 141502143414132 its reverse (231414341205141), we get a palindrome (372916484619273).

The spelling of 141502143414132 in words is "one hundred forty-one trillion, five hundred two billion, one hundred forty-three million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 661 666 909 1212 1322 1332 1818 1983 2644 3636 3737 3966 5949 7474 7932 11211 11898 14948 22422 23796 24457 33633 44844 48914 66761 67266 73371 97828 133522 134532 146742 200283 220113 267044 293484 400566 440226 600849 801132 880452 1201698 1591241 2403396 2470157 3182482 4773723 4940314 6364964 7410471 9547446 9880628 14321169 14820942 19094892 22231413 28642338 29641884 44462826 57284676 58875917 88925652 117751834 160715341 176627751 235503668 321430682 353255502 482146023 529883253 642861364 706511004 964292046 1051810301 1059766506 1446438069 1928584092 2103620602 2119533012 2892876138 3155430903 4207241204 5785752276 5946467617 6310861806 9466292709 11892935234 12621723612 17839402851 18932585418 23785870468 35678805702 37865170836 38916981137 53518208553 71357611404 77833962274 106232840401 107036417106 116750943411 155667924548 212465680802 214072834212 233501886822 318698521203 350252830233 424931361604 467003773644 637397042406 700505660466 956095563609 1274794084812 1401011320932 1912191127218 3824382254436 3930615094837 7861230189674 11791845284511 15722460379348 23583690569022 35375535853533 47167381138044 70751071707066 141502143414132