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144261033642 = 233112310559291
BaseRepresentation
bin1000011001011010100…
…0001010111010101010
3111210100210120211001000
42012112220022322222
54330421311034032
6150134514335430
713264631360625
oct2062650127252
9453323524030
10144261033642
11561a9657850
1223b6088a576
13107b05ba28b
146da74d0dbc
153b44d59e7c
hex2196a0aeaa

144261033642 has 64 divisors (see below), whose sum is σ = 364929131520. Its totient is φ = 41814788400.

The previous prime is 144261033593. The next prime is 144261033649. The reversal of 144261033642 is 246330162441.

144261033642 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 6 + 1 + 0 + 3 + 3 + 642 = 666.

It is a super-2 number, since 2×1442610336422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144261033597 and 144261033606.

It is not an unprimeable number, because it can be changed into a prime (144261033649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5265984 + ... + 5293307.

It is an arithmetic number, because the mean of its divisors is an integer number (5702017680).

Almost surely, 2144261033642 is an apocalyptic number.

144261033642 is an abundant number, since it is smaller than the sum of its proper divisors (220668097878).

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

144261033642 is a wasteful number, since it uses less digits than its factorization.

144261033642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559336 (or 10559330 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 144261033642 in words is "one hundred forty-four billion, two hundred sixty-one million, thirty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 10559291 21118582 31677873 63355746 95033619 116152201 190067238 232304402 242863693 285100857 348456603 485727386 570201714 696913206 728591079 1045369809 1457182158 2090739618 2185773237 2671500623 3136109427 4371546474 5343001246 6272218854 6557319711 8014501869 13114639422 16029003738 24043505607 48087011214 72130516821 144261033642