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214456621401 = 32117329674363
BaseRepresentation
bin1100011110111010011…
…1000101100101011001
3202111112211222010212200
43013232213011211121
512003201343341101
6242304153400413
721331302130161
oct3075647054531
9674484863780
10214456621401
1182a501988a0
1235691109109
13172b9405819
14a54609b5a1
1558a2702986
hex31ee9c5959

214456621401 has 24 divisors (see below), whose sum is σ = 342560858016. Its totient is φ = 128193243840.

The previous prime is 214456621387. The next prime is 214456621403. The reversal of 214456621401 is 104126654412.

214456621401 is a `hidden beast` number, since 2 + 1 + 4 + 456 + 62 + 140 + 1 = 666.

It is not a de Polignac number, because 214456621401 - 25 = 214456621369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214456621403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14829955 + ... + 14844408.

It is an arithmetic number, because the mean of its divisors is an integer number (14273369084).

Almost surely, 2214456621401 is an apocalyptic number.

It is an amenable number.

214456621401 is a deficient number, since it is larger than the sum of its proper divisors (128104236615).

214456621401 is a wasteful number, since it uses less digits than its factorization.

214456621401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29674453 (or 29674450 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 214456621401 in words is "two hundred fourteen billion, four hundred fifty-six million, six hundred twenty-one thousand, four hundred one".

Divisors: 1 3 9 11 33 73 99 219 657 803 2409 7227 29674363 89023089 267069267 326417993 979253979 2166228499 2937761937 6498685497 19496056491 23828513489 71485540467 214456621401