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332143130196 = 2232174122675839
BaseRepresentation
bin1001101010101010100…
…01011111011001010100
31011202022121220020001200
410311111101133121110
520420212120131241
6412330123552500
732665550011233
oct4652521373124
91152277806050
10332143130196
11118952157809
125445608b730
1325423203087
141210c062b1a
15898e51e4b6
hex4d5545f654

332143130196 has 144 divisors (see below), whose sum is σ = 911211275520. Its totient is φ = 101598013440.

The previous prime is 332143130177. The next prime is 332143130197. The reversal of 332143130196 is 691031341233.

It is a happy number.

332143130196 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 431 + 30 + 196 = 666.

It is a super-2 number, since 2×3321431301962 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332143130196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332143130197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56880645 + ... + 56886483.

It is an arithmetic number, because the mean of its divisors is an integer number (6327856080).

Almost surely, 2332143130196 is an apocalyptic number.

332143130196 is a gapful number since it is divisible by the number (36) 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 332143130196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455605637760).

332143130196 is an abundant number, since it is smaller than the sum of its proper divisors (579068145324).

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

332143130196 is a wasteful number, since it uses less digits than its factorization.

332143130196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 332143130196 in words is "three hundred thirty-two billion, one hundred forty-three million, one hundred thirty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2267 2788 4182 4534 5839 6273 6801 8364 9068 11678 12546 13602 17517 20403 23356 25092 27204 35034 38539 40806 52551 70068 77078 81612 92947 99263 105102 115617 154156 185894 198526 210204 231234 239399 278841 297789 346851 371788 397052 462468 478798 557682 595578 693702 718197 836523 893367 957596 1115364 1191156 1387404 1436394 1580099 1673046 1786734 2154591 2872788 3160198 3346092 3573468 4069783 4309182 4740297 6320396 8139566 8618364 9480594 12209349 13237013 14220891 16279132 18961188 24418698 26474026 28441782 36628047 39711039 48837396 52948052 56883564 73256094 79422078 119133117 146512188 158844156 225029221 238266234 450058442 476532468 542717533 675087663 900116884 1085435066 1350175326 1628152599 2025262989 2170870132 2700350652 3256305198 4050525978 4884457797 6512610396 8101051956 9226198061 9768915594 18452396122 19537831188 27678594183 36904792244 55357188366 83035782549 110714376732 166071565098 332143130196