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190441422144 = 2632477034627
BaseRepresentation
bin1011000101011100110…
…0010111110101000000
3200012120012010121201100
42301113030113311000
511110011001002034
6223253152334400
716521213244041
oct2612714276500
9605505117640
10190441422144
1173847244186
1230aaa544400
1314c5cc1724c
1493088268c8
154e4920d099
hex2c57317d40

190441422144 has 84 divisors (see below), whose sum is σ = 557480199744. Its totient is φ = 62129816832.

The previous prime is 190441422133. The next prime is 190441422151. The reversal of 190441422144 is 441224144091.

190441422144 is a `hidden beast` number, since 1 + 90 + 4 + 4 + 1 + 422 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190441422099 and 190441422108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3490242 + ... + 3544385.

Almost surely, 2190441422144 is an apocalyptic number.

It is an amenable number.

190441422144 is an abundant number, since it is smaller than the sum of its proper divisors (367038777600).

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

190441422144 is a wasteful number, since it uses less digits than its factorization.

190441422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034692 (or 7034679 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 190441422144 in words is "one hundred ninety billion, four hundred forty-one million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4512 6768 9024 13536 27072 7034627 14069254 21103881 28138508 42207762 56277016 63311643 84415524 112554032 126623286 168831048 225108064 253246572 330627469 337662096 450216128 506493144 661254938 675324192 991882407 1012986288 1322509876 1350648384 1983764814 2025972576 2645019752 2975647221 3967529628 4051945152 5290039504 5951294442 7935059256 10580079008 11902588884 15870118512 21160158016 23805177768 31740237024 47610355536 63480474048 95220711072 190441422144