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102745444440 = 23352929524553
BaseRepresentation
bin101111110110000011…
…0110001000001011000
3100211012111200101000010
41133230012301001120
53140410313210230
6115111155241520
710265061603462
oct1375406610130
9324174611003
10102745444440
113a635141151
1217ab52a92a0
1398c5547b92
144d89923132
152a152999b0
hex17ec1b1058

102745444440 has 64 divisors (see below), whose sum is σ = 318865183200. Its totient is φ = 26453998592.

The previous prime is 102745444429. The next prime is 102745444453. The reversal of 102745444440 is 44444547201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14758797 + ... + 14765756.

Almost surely, 2102745444440 is an apocalyptic number.

102745444440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102745444440 is an abundant number, since it is smaller than the sum of its proper divisors (216119738760).

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

102745444440 is a wasteful number, since it uses less digits than its factorization.

102745444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29524596 (or 29524592 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 39.

The spelling of 102745444440 in words is "one hundred two billion, seven hundred forty-five million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 29524553 59049106 88573659 118098212 147622765 177147318 236196424 295245530 354294636 442868295 590491060 708589272 856212037 885736590 1180982120 1712424074 1771473180 2568636111 3424848148 3542946360 4281060185 5137272222 6849696296 8562120370 10274544444 12843180555 17124240740 20549088888 25686361110 34248481480 51372722220 102745444440