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14074102080 = 263351628947
BaseRepresentation
bin11010001101110000…
…11100000101000000
31100022211220110112000
431012320130011000
5212310432231310
610244320504000
71005524615403
oct150670340500
940284813460
1014074102080
115a72511225
12288947b000
131433a8586c
14977285d3a
155758be4c0
hex346e1c140

14074102080 has 112 divisors (see below), whose sum is σ = 49650335040. Its totient is φ = 3753091584.

The previous prime is 14074102039. The next prime is 14074102117. The reversal of 14074102080 is 8020147041.

14074102080 is a `hidden beast` number, since 1 + 40 + 7 + 410 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805834 + ... + 823113.

Almost surely, 214074102080 is an apocalyptic number.

14074102080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14074102080 is an abundant number, since it is smaller than the sum of its proper divisors (35576232960).

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

14074102080 is a wasteful number, since it uses less digits than its factorization.

14074102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628973 (or 1628957 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 14074102080 in words is "fourteen billion, seventy-four million, one hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 1628947 3257894 4886841 6515788 8144735 9773682 13031576 14660523 16289470 19547364 24434205 26063152 29321046 32578940 39094728 43981569 48868410 52126304 58642092 65157880 73302615 78189456 87963138 97736820 104252608 117284184 130315760 146605230 156378912 175926276 195473640 219907845 234568368 260631520 293210460 312757824 351852552 390947280 439815690 469136736 521263040 586420920 703705104 781894560 879631380 938273472 1172841840 1407410208 1563789120 1759262760 2345683680 2814820416 3518525520 4691367360 7037051040 14074102080