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13904917040 = 245759420851
BaseRepresentation
bin11001111001100110…
…00011001000110000
31022220001112222021102
430330303003020300
5211434124321130
610215434343532
71001401562510
oct147463031060
938801488242
1013904917040
115995a65a83
12284088aba8
1314079ca481
1495ca05840
15565b00645
hex33ccc3230

13904917040 has 80 divisors (see below), whose sum is σ = 37573666560. Its totient is φ = 4686585600.

The previous prime is 13904917031. The next prime is 13904917057. The reversal of 13904917040 is 4071940931.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13904916985 and 13904917003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177386 + ... + 243465.

It is an arithmetic number, because the mean of its divisors is an integer number (469670832).

Almost surely, 213904917040 is an apocalyptic number.

13904917040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13904917040 is an abundant number, since it is smaller than the sum of its proper divisors (23668749520).

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

13904917040 is a wasteful number, since it uses less digits than its factorization.

13904917040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420930 (or 420924 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 13904917040 in words is "thirteen billion, nine hundred four million, nine hundred seventeen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 16520 33040 420851 841702 1683404 2104255 2945957 3366808 4208510 5891914 6733616 8417020 11783828 14729785 16834040 23567656 24830209 29459570 33668080 47135312 49660418 58919140 99320836 117838280 124151045 173811463 198641672 235676560 248302090 347622926 397283344 496604180 695245852 869057315 993208360 1390491704 1738114630 1986416720 2780983408 3476229260 6952458520 13904917040