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14027245632 = 263417159169
BaseRepresentation
bin11010001000001011…
…01100100001000000
31100012120201220120000
431010011230201000
5212211433330012
610235524320000
71004415422601
oct150405544100
940176656500
1014027245632
115a49018294
122875843000
13142715b25a
14970d69da8
15571715ddc
hex34416c840

14027245632 has 140 divisors (see below), whose sum is σ = 44027377020. Its totient is φ = 4400676864.

The previous prime is 14027245613. The next prime is 14027245651. The reversal of 14027245632 is 23654272041.

14027245632 is a `hidden beast` number, since 1 + 402 + 7 + 245 + 6 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14027245613) and next prime (14027245651).

It can be written as a sum of positive squares in 2 ways, for example, as 4551391296 + 9475854336 = 67464^2 + 97344^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8544 + ... + 167712.

Almost surely, 214027245632 is an apocalyptic number.

14027245632 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 14027245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22013688510).

14027245632 is an abundant number, since it is smaller than the sum of its proper divisors (30000131388).

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

14027245632 is a wasteful number, since it uses less digits than its factorization.

14027245632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159210 (or 159191 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 14027245632 in words is "fourteen billion, twenty-seven million, two hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 159169 318338 477507 636676 955014 1273352 1432521 1910028 2546704 2705873 2865042 3820056 4297563 5093408 5411746 5730084 7640112 8117619 8595126 10186816 10823492 11460168 12892689 15280224 16235238 17190252 21646984 22920336 24352857 25785378 30560448 32470476 34380504 43293968 45840672 48705714 51570756 64940952 68761008 73058571 86587936 91681344 97411428 103141512 129881904 137522016 146117142 173175872 194822856 206283024 219175713 259763808 275044032 292234284 389645712 412566048 438351426 519527616 584468568 779291424 825132096 876702852 1168937136 1558582848 1753405704 2337874272 3506811408 4675748544 7013622816 14027245632