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14060396160 = 273252441041
BaseRepresentation
bin11010001100001000…
…01001111010000000
31100021220010010112100
431012010021322000
5212243430134120
610243111030400
71005300252426
oct150604117200
940256103470
1014060396160
115a657aa818
12288496b400
131430c97255
14975519116
155745b3490
hex346109e80

14060396160 has 96 divisors (see below), whose sum is σ = 48552325380. Its totient is φ = 3749437440.

The previous prime is 14060396113. The next prime is 14060396197. The reversal of 14060396160 is 6169306041.

14060396160 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 0 + 39 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11493555264 + 2566840896 = 107208^2 + 50664^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×140603961602 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214761 + ... + 1226280.

Almost surely, 214060396160 is an apocalyptic number.

14060396160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14060396160 is an abundant number, since it is smaller than the sum of its proper divisors (34491929220).

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

14060396160 is a wasteful number, since it uses less digits than its factorization.

14060396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441066 (or 2441051 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 14060396160 in words is "fourteen billion, sixty million, three hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2441041 4882082 7323123 9764164 12205205 14646246 19528328 21969369 24410410 29292492 36615615 39056656 43938738 48820820 58584984 73231230 78113312 87877476 97641640 109846845 117169968 146462460 156226624 175754952 195283280 219693690 234339936 292924920 312453248 351509904 390566560 439387380 468679872 585849840 703019808 781133120 878774760 937359744 1171699680 1406039616 1562266240 1757549520 2343399360 2812079232 3515099040 4686798720 7030198080 14060396160