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10334144234232 = 23327131577250341
BaseRepresentation
bin1001011001100001101011…
…1111110000001011111000
31100120221020021120002120100
42112120122333300023320
52323303311410443412
633551235035355400
72114421504436230
oct226303277601370
940527207502510
1010334144234232
113324760011915
1211aa9abbb2b60
1359c675b01310
1427a264c56cc0
1512dc34e91edc
hex9661aff02f8

10334144234232 has 96 divisors (see below), whose sum is σ = 34447147469280. Its totient is φ = 2725488587520.

The previous prime is 10334144234143. The next prime is 10334144234251. The reversal of 10334144234232 is 23243244143301.

10334144234232 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 414 + 4 + 2 + 3 + 4 + 232 = 666.

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 23 ways as a sum of consecutive naturals, for example, 788618619 + ... + 788631722.

It is an arithmetic number, because the mean of its divisors is an integer number (358824452805).

Almost surely, 210334144234232 is an apocalyptic number.

10334144234232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10334144234232 is an abundant number, since it is smaller than the sum of its proper divisors (24113003235048).

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

10334144234232 is a wasteful number, since it uses less digits than its factorization.

10334144234232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577250373 (or 1577250366 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 10334144234232 its reverse (23243244143301), we get a palindrome (33577388377533).

The spelling of 10334144234232 in words is "ten trillion, three hundred thirty-four billion, one hundred forty-four million, two hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 1577250341 3154500682 4731751023 6309001364 9463502046 11040752387 12618002728 14195253069 18927004092 20504254433 22081504774 28390506138 33122257161 37854008184 41008508866 44163009548 56781012276 61512763299 66244514322 82017017732 88326019096 99366771483 113562024552 123025526598 132489028644 143529781031 164034035464 184538289897 198733542966 246051053196 264978057288 287059562062 369076579794 397467085932 430589343093 492102106392 574119124124 738153159588 794934171864 861178686186 1148238248248 1291768029279 1476306319176 1722357372372 2583536058558 3444714744744 5167072117116 10334144234232