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214533055501120 = 26510349331319459
BaseRepresentation
bin110000110001110111011110…
…100100001101001101000000
31001010121011022111112011111201
4300301313132210031031000
5211104402144202013440
62040135043005550544
763121334051665156
oct6061673644151500
91033534274464451
10214533055501120
11623a1a59a686a4
1220089b3a275454
1392924c37704c5
143ad96534533d6
1519c076caa319a
hexc31dde90d340

214533055501120 has 112 divisors (see below), whose sum is σ = 515921569038720. Its totient is φ = 84962792871936.

The previous prime is 214533055501099. The next prime is 214533055501133. The reversal of 214533055501120 is 21105550335412.

It is a self number, because there is not a number n which added to its sum of digits gives 214533055501120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161931951 + ... + 163251409.

Almost surely, 2214533055501120 is an apocalyptic number.

214533055501120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214533055501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257960784519360).

214533055501120 is an abundant number, since it is smaller than the sum of its proper divisors (301388513537600).

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

214533055501120 is a wasteful number, since it uses less digits than its factorization.

214533055501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324512 (or 1324502 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 214533055501120 in words is "two hundred fourteen trillion, five hundred thirty-three billion, fifty-five million, five hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 4933 6592 8240 9866 16480 19732 24665 32960 39464 49330 78928 98660 157856 197320 315712 394640 508099 789280 1016198 1319459 1578560 2032396 2540495 2638918 4064792 5080990 5277836 6597295 8129584 10161980 10555672 13194590 16259168 20323960 21111344 26389180 32518336 40647920 42222688 52778360 81295840 84445376 105556720 135904277 162591680 211113440 271808554 422226880 543617108 679521385 1087234216 1359042770 2174468432 2718085540 4348936864 5436171080 6508891247 8697873728 10872342160 13017782494 21744684320 26035564988 32544456235 43489368640 52071129976 65088912470 104142259952 130177824940 208284519904 260355649880 416569039808 520711299760 670415798441 1041422599520 1340831596882 2082845199040 2681663193764 3352078992205 5363326387528 6704157984410 10726652775056 13408315968820 21453305550112 26816631937640 42906611100224 53633263875280 107266527750560 214533055501120