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214331413504 = 2101321238509
BaseRepresentation
bin1100011110011100100…
…1011101010000000000
3202111020010100220221011
43013213021131100000
512002422320213004
6242243522010304
721325221645445
oct3074711352000
9674203326834
10214331413504
118299654a29a
12356571a6994
13172994a7300
14a5335c79cc
15589671e004
hex31e725d400

214331413504 has 66 divisors (see below), whose sum is σ = 463947084510. Its totient is φ = 98922110976.

The previous prime is 214331413477. The next prime is 214331413531. The reversal of 214331413504 is 405314133412.

It is an interprime number because it is at equal distance from previous prime (214331413477) and next prime (214331413531).

It can be written as a sum of positive squares in 3 ways, for example, as 517653504 + 213813760000 = 22752^2 + 462400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 446199 + ... + 792310.

Almost surely, 2214331413504 is an apocalyptic number.

It is an amenable number.

214331413504 is an abundant number, since it is smaller than the sum of its proper divisors (249615671006).

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

214331413504 is a wasteful number, since it uses less digits than its factorization.

214331413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238555 (or 1238524 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 214331413504 its reverse (405314133412), we get a palindrome (619645546916).

The spelling of 214331413504 in words is "two hundred fourteen billion, three hundred thirty-one million, four hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5408 6656 10816 13312 21632 43264 86528 173056 1238509 2477018 4954036 9908072 16100617 19816144 32201234 39632288 64402468 79264576 128804936 158529152 209308021 257609872 317058304 418616042 515219744 634116608 837232084 1030439488 1268233216 1674464168 2060878976 3348928336 4121757952 6697856672 8243515904 13395713344 16487031808 26791426688 53582853376 107165706752 214331413504