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442699202996244 = 2232514720551116257
BaseRepresentation
bin110010010101000011111000…
…0101111001010100000010100
32011001110122000121211101112200
41210222013300233022200110
5431011140431431334434
64205313112315044500
7162150650641633515
oct14452076057124024
92131418017741480
10442699202996244
1111906a74aa46457
124179a0a3440730
131600348167264c
147b46a81acca0c
15362a94ee4b199
hex192a1f0bca814

442699202996244 has 72 divisors (see below), whose sum is σ = 1119326715194688. Its totient is φ = 147529282521600.

The previous prime is 442699202996179. The next prime is 442699202996257.

442699202996244 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 9 + 92 + 0 + 299 + 6 + 244 = 666.

442699202996244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3807877764 + ... + 3807994020.

It is an arithmetic number, because the mean of its divisors is an integer number (15546204377704).

Almost surely, 2442699202996244 is an apocalyptic number.

It is an amenable number.

442699202996244 is an abundant number, since it is smaller than the sum of its proper divisors (676627512198444).

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

442699202996244 is a wasteful number, since it uses less digits than its factorization.

442699202996244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141965 (or 141960 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 442699202996244 in words is "four hundred forty-two trillion, six hundred ninety-nine billion, two hundred two million, nine hundred ninety-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5147 10294 15441 20551 20588 30882 41102 46323 61653 61764 82204 92646 116257 123306 184959 185292 232514 246612 348771 369918 465028 697542 739836 1046313 1395084 2092626 4185252 105775997 211551994 317327991 423103988 598374779 634655982 951983973 1196749558 1269311964 1795124337 1903967946 2389197607 2393499116 3590248674 3807935892 4778395214 5385373011 7167592821 7180497348 9556790428 10770746022 14335185642 21502778463 21541492044 28670371284 43005556926 86011113852 12297200083229 24594400166458 36891600249687 49188800332916 73783200499374 110674800749061 147566400998748 221349601498122 442699202996244