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14929996137984 = 29326315134733
BaseRepresentation
bin1101100101000010100100…
…0111011100011000000000
31221212021221002201201200100
43121100221013130120000
53424103113002403414
651430425011522400
73100441136163324
oct331205107343000
957767832651610
1014929996137984
114836859660964
1218116495b9400
13843b7b052315
14398889575984
151ad56ba3e609
hexd94291dc600

14929996137984 has 120 divisors (see below), whose sum is σ = 43157274958512. Its totient is φ = 4968777461760.

The previous prime is 14929996137911. The next prime is 14929996138007. The reversal of 14929996137984 is 48973169992941.

14929996137984 is a `hidden beast` number, since 1 + 4 + 9 + 29 + 99 + 61 + 379 + 84 = 666.

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 11 ways as a sum of consecutive naturals, for example, 340282 + ... + 5475014.

Almost surely, 214929996137984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14929996137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578637479256).

14929996137984 is an abundant number, since it is smaller than the sum of its proper divisors (28227278820528).

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

14929996137984 is an equidigital number, since it uses as much as digits as its factorization.

14929996137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135388 (or 5135369 counting only the distinct ones).

The product of its digits is 1904684544, while the sum is 81.

The spelling of 14929996137984 in words is "fourteen trillion, nine hundred twenty-nine billion, nine hundred ninety-six million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 631 768 1152 1262 1536 1893 2304 2524 3786 4608 5048 5679 7572 10096 11358 15144 20192 22716 30288 40384 45432 60576 80768 90864 121152 161536 181728 242304 323072 363456 484608 726912 969216 1453824 2907648 5134733 10269466 15404199 20538932 30808398 41077864 46212597 61616796 82155728 92425194 123233592 164311456 184850388 246467184 328622912 369700776 492934368 657245824 739401552 985868736 1314491648 1478803104 1971737472 2628983296 2957606208 3240016523 3943474944 5915212416 6480033046 7886949888 9720049569 11830424832 12960066092 19440099138 23660849664 25920132184 29160148707 38880198276 51840264368 58320297414 77760396552 103680528736 116640594828 155520793104 207361057472 233281189656 311041586208 414722114944 466562379312 622083172416 829444229888 933124758624 1244166344832 1658888459776 1866249517248 2488332689664 3732499034496 4976665379328 7464998068992 14929996137984