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14106853237248 = 29331020461027
BaseRepresentation
bin1100110101001000000111…
…1110011110001000000000
31211221121020212010211011000
43031102001332132020000
53322111313412042443
650000333210452000
72654120655030432
oct315220176361000
954847225124130
1014106853237248
114549756984322
1216ba004734000
137b4369532055
1436aabd764652
15196e41b118d3
hexcd481f9e200

14106853237248 has 80 divisors (see below), whose sum is σ = 41757265265760. Its totient is φ = 4702284407808.

The previous prime is 14106853237223. The next prime is 14106853237439. The reversal of 14106853237248 is 84273235860141.

14106853237248 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 68 + 532 + 3 + 7 + 2 + 48 = 666.

It is a super-2 number, since 2×141068532372482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14106853237194 and 14106853237203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510216690 + ... + 510244337.

It is an arithmetic number, because the mean of its divisors is an integer number (521965815822).

Almost surely, 214106853237248 is an apocalyptic number.

14106853237248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14106853237248 is an abundant number, since it is smaller than the sum of its proper divisors (27650412028512).

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

14106853237248 is an equidigital number, since it uses as much as digits as its factorization.

14106853237248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020461054 (or 1020461032 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 14106853237248 in words is "fourteen trillion, one hundred six billion, eight hundred fifty-three million, two hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 1020461027 2040922054 3061383081 4081844108 6122766162 8163688216 9184149243 12245532324 16327376432 18368298486 24491064648 27552447729 32654752864 36736596972 48982129296 55104895458 65309505728 73473193944 97964258592 110209790916 130619011456 146946387888 195928517184 220419581832 261238022912 293892775776 391857034368 440839163664 522476045824 587785551552 783714068736 881678327328 1175571103104 1567428137472 1763356654656 2351142206208 3526713309312 4702284412416 7053426618624 14106853237248