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14081481413376 = 283131974231831
BaseRepresentation
bin1100110011101001100110…
…1100101001001100000000
31211212011202122120121212120
43030322121230221030000
53321202333220212001
645540535424324240
72652232144055436
oct314723154511400
954764678517776
1014081481413376
114539a17177543
1216b5103773680
137b1b54c71010
14369793c6cd56
15196459494236
hexcce99b29300

14081481413376 has 144 divisors (see below), whose sum is σ = 42484362090240. Its totient is φ = 4104723271680.

The previous prime is 14081481413369. The next prime is 14081481413401. The reversal of 14081481413376 is 67331418418041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36926220 + ... + 37305611.

Almost surely, 214081481413376 is an apocalyptic number.

14081481413376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14081481413376 is an abundant number, since it is smaller than the sum of its proper divisors (28402880676864).

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

14081481413376 is a wasteful number, since it uses less digits than its factorization.

14081481413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74231882 (or 74231868 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 14081481413376 in words is "fourteen trillion, eighty-one billion, four hundred eighty-one million, four hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 7296 7904 9984 11856 14592 15808 23712 31616 47424 63232 94848 189696 74231831 148463662 222695493 296927324 445390986 593854648 890781972 965013803 1187709296 1410404789 1781563944 1930027606 2375418592 2820809578 2895041409 3563127888 3860055212 4231214367 4750837184 5641619156 5790082818 7126255776 7720110424 8462428734 9501674368 11283238312 11580165636 14252511552 15440220848 16924857468 18335262257 19003348736 22566476624 23160331272 28505023104 30880441696 33849714936 36670524514 45132953248 46320662544 55005786771 57010046208 61760883392 67699429872 73341049028 90265906496 92641325088 110011573542 123521766784 135398859744 146682098056 180531812992 185282650176 220023147084 247043533568 270797719488 293364196112 361063625984 370565300352 440046294168 541595438976 586728392224 741130600704 880092588336 1083190877952 1173456784448 1760185176672 2346913568896 3520370353344 4693827137792 7040740706688 14081481413376