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141232245216 = 2531929742013
BaseRepresentation
bin1000001110001000011…
…0010000100111100000
3111111112201101102101220
42003202012100213200
54303220423321331
6144514201055040
713126603163646
oct2034206204740
9444481342356
10141232245216
1154994a14217
1223456487480
1310419c6638a
146b9b153196
153a18ecb296
hex20e21909e0

141232245216 has 144 divisors (see below), whose sum is σ = 395317120464. Its totient is φ = 44138815488.

The previous prime is 141232245191. The next prime is 141232245247. The reversal of 141232245216 is 612542232141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3340626 + ... + 3382638.

It is an arithmetic number, because the mean of its divisors is an integer number (2745257781).

Almost surely, 2141232245216 is an apocalyptic number.

141232245216 is a gapful number since it is divisible by the number (16) 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 141232245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197658560232).

141232245216 is an abundant number, since it is smaller than the sum of its proper divisors (254084875248).

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

141232245216 is a wasteful number, since it uses less digits than its factorization.

141232245216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42161 (or 42134 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

Adding to 141232245216 its reverse (612542232141), we get a palindrome (753774477357).

The spelling of 141232245216 in words is "one hundred forty-one billion, two hundred thirty-two million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 97 114 152 194 228 291 304 361 388 456 582 608 722 776 912 1083 1164 1444 1552 1824 1843 2166 2328 2888 3104 3686 4332 4656 5529 5776 7372 8664 9312 11058 11552 14744 17328 22116 29488 34656 35017 42013 44232 58976 70034 84026 88464 105051 126039 140068 168052 176928 210102 252078 280136 336104 420204 504156 560272 672208 798247 840408 1008312 1120544 1344416 1596494 1680816 2016624 2394741 3192988 3361632 4033248 4075261 4789482 6385976 8150522 9578964 12225783 12771952 15166693 16301044 19157928 24451566 25543904 30333386 32602088 38315856 45500079 48903132 60666772 65204176 76631712 77429959 91000158 97806264 121333544 130408352 154859918 182000316 195612528 232289877 242667088 309719836 364000632 391225056 464579754 485334176 619439672 728001264 929159508 1238879344 1456002528 1471169221 1858319016 2477758688 2942338442 3716638032 4413507663 5884676884 7433276064 8827015326 11769353768 17654030652 23538707536 35308061304 47077415072 70616122608 141232245216