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214024122344432 = 24291789363770891
BaseRepresentation
bin110000101010011101011111…
…110010010010001111110000
31001001210111200002000002001002
4300222131133302102033300
5211023032400310010212
62035105154030101132
763036506161353101
oct6052353762221760
91031714602002032
10214024122344432
1162216136514384
122000738564a7a8
1392565079771ca
143abcb73a583a8
1519b23d2a98ac2
hexc2a75fc923f0

214024122344432 has 80 divisors (see below), whose sum is σ = 429334613311200. Its totient is φ = 103234387092480.

The previous prime is 214024122344363. The next prime is 214024122344449. The reversal of 214024122344432 is 234443221420412.

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, 3019023707 + ... + 3019094597.

It is an arithmetic number, because the mean of its divisors is an integer number (5366682666390).

Almost surely, 2214024122344432 is an apocalyptic number.

It is an amenable number.

214024122344432 is an abundant number, since it is smaller than the sum of its proper divisors (215310490966768).

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

214024122344432 is a wasteful number, since it uses less digits than its factorization.

214024122344432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76354 (or 76348 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 214024122344432 its reverse (234443221420412), we get a palindrome (448467343764844).

The spelling of 214024122344432 in words is "two hundred fourteen trillion, twenty-four billion, one hundred twenty-two million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 1789 3578 3637 7156 7274 14312 14548 28624 29096 51881 58192 70891 103762 105473 141782 207524 210946 283564 415048 421892 567128 830096 843784 1134256 1687568 2055839 4111678 6506593 8223356 13013186 16446712 26026372 32893424 52052744 104105488 126823999 188691197 253647998 257830567 377382394 507295996 515661134 754764788 1014591992 1031322268 1509529576 2029183984 2062644536 3019059152 3677895971 4125289072 7355791942 7477086443 14711583884 14954172886 29423167768 29908345772 58846335536 59816691544 119633383088 461258884363 922517768726 1845035537452 3690071074904 7380142149808 13376507646527 26753015293054 53506030586108 107012061172216 214024122344432