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214013323121232 = 24314713031006729
BaseRepresentation
bin110000101010010011011100…
…000110100001001001010000
31001001202110210110100200210110
4300222103130012201021100
5211022343241204334412
62035100210253201320
763035644440441255
oct6052233406411120
91031673713320713
10214013323121232
11622115a464a128
1220005270a90240
1392554a65195cb
143abc42b6cd42c
1519b1e9e968d3c
hexc2a4dc1a1250

214013323121232 has 40 divisors (see below), whose sum is σ = 553243596413440. Its totient is φ = 71289278242560.

The previous prime is 214013323121231. The next prime is 214013323121237. The reversal of 214013323121232 is 232121323310412.

It is a self number, because there is not a number n which added to its sum of digits gives 214013323121232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214013323121231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515432757 + ... + 1515573972.

It is an arithmetic number, because the mean of its divisors is an integer number (13831089910336).

Almost surely, 2214013323121232 is an apocalyptic number.

It is an amenable number.

214013323121232 is an abundant number, since it is smaller than the sum of its proper divisors (339230273292208).

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

214013323121232 is a wasteful number, since it uses less digits than its factorization.

214013323121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031008211 (or 3031008205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 214013323121232 its reverse (232121323310412), we get a palindrome (446134646431644).

The spelling of 214013323121232 in words is "two hundred fourteen trillion, thirteen billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1471 2942 4413 5884 8826 11768 17652 23536 35304 70608 3031006729 6062013458 9093020187 12124026916 18186040374 24248053832 36372080748 48496107664 72744161496 145488322992 4458610898359 8917221796718 13375832695077 17834443593436 26751665390154 35668887186872 53503330780308 71337774373744 107006661560616 214013323121232