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14618045440 = 210512722481
BaseRepresentation
bin11011001110100110…
…11010110000000000
31101201202102122112101
431213103122300000
5214414204423230
610414311240144
71025151223165
oct154723326000
941652378471
1014618045440
116221561999
1229bb679054
1314bc68533b
149c95da06c
155a8517aca
hex3674dac00

14618045440 has 88 divisors (see below), whose sum is σ = 35343862272. Its totient is φ = 5800919040.

The previous prime is 14618045437. The next prime is 14618045441. The reversal of 14618045440 is 4454081641.

It is a self number, because there is not a number n which added to its sum of digits gives 14618045440.

It is not an unprimeable number, because it can be changed into a prime (14618045441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639000 + ... + 661480.

Almost surely, 214618045440 is an apocalyptic number.

14618045440 is a gapful number since it is divisible by the number (10) 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 14618045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671931136).

14618045440 is an abundant number, since it is smaller than the sum of its proper divisors (20725816832).

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

14618045440 is a wasteful number, since it uses less digits than its factorization.

14618045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22633 (or 22615 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 14618045440 in words is "fourteen billion, six hundred eighteen million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2540 2560 4064 5080 5120 8128 10160 16256 20320 22481 32512 40640 44962 65024 81280 89924 112405 130048 162560 179848 224810 325120 359696 449620 650240 719392 899240 1438784 1798480 2855087 2877568 3596960 5710174 5755136 7193920 11420348 11510272 14275435 14387840 22840696 23020544 28550870 28775680 45681392 57101740 57551360 91362784 114203480 115102720 182725568 228406960 365451136 456813920 730902272 913627840 1461804544 1827255680 2923609088 3654511360 7309022720 14618045440