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244135644351201 = 32172959932587847
BaseRepresentation
bin110111100000101001000010…
…010110111100101011100001
31012000102010202211000202200100
4313200221002112330223201
5223444404244423214301
62223122211113013013
7102265134566345301
oct6740510226745341
91160363684022610
10244135644351201
11708753886a6779
122346b1593b4169
13a62bb7aa0c275
14444032a3b9601
151d357dd3b0286
hexde0a425bcae1

244135644351201 has 48 divisors (see below), whose sum is σ = 392806001577600. Its totient is φ = 145394175542784.

The previous prime is 244135644351187. The next prime is 244135644351289. The reversal of 244135644351201 is 102153446531442.

244135644351201 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 3 + 5 + 6 + 4 + 435 + 1 + 201 = 666.

It is not a de Polignac number, because 244135644351201 - 27 = 244135644351073 is a prime.

It is a super-2 number, since 2×2441356443512012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (244135644351701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466032141 + ... + 466555706.

It is an arithmetic number, because the mean of its divisors is an integer number (8183458366200).

Almost surely, 2244135644351201 is an apocalyptic number.

It is an amenable number.

244135644351201 is a deficient number, since it is larger than the sum of its proper divisors (148670357226399).

244135644351201 is a wasteful number, since it uses less digits than its factorization.

244135644351201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932587958 (or 932587955 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 244135644351201 in words is "two hundred forty-four trillion, one hundred thirty-five billion, six hundred forty-four million, three hundred fifty-one thousand, two hundred one".

Divisors: 1 3 9 17 29 51 59 87 153 177 261 493 531 1003 1479 1711 3009 4437 5133 9027 15399 29087 87261 261783 932587847 2797763541 8393290623 15853993399 27045047563 47561980197 55022682973 81135142689 142685940591 165068048919 243405428067 459765808571 495204146757 935385610541 1379297425713 1595657806217 2806156831623 4137892277139 4786973418651 8418470494869 14360920255953 27126182705689 81378548117067 244135644351201