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444104020092 = 223312613132017
BaseRepresentation
bin1100111011001101010…
…10011001000001111100
31120110022101001201200110
412131212222121001330
524234011112120332
6540004002230020
744041211612655
oct6354652310174
91513271051613
10444104020092
11161386161487
12720a1655310
1332b56a32855
14176cd84052c
15b8438514cc
hex6766a9907c

444104020092 has 144 divisors (see below), whose sum is σ = 1092319732896. Its totient is φ = 140391014400.

The previous prime is 444104020091. The next prime is 444104020109. The reversal of 444104020092 is 290020401444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444104020091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220179468 + ... + 220181484.

Almost surely, 2444104020092 is an apocalyptic number.

It is an amenable number.

444104020092 is an abundant number, since it is smaller than the sum of its proper divisors (648215712804).

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

444104020092 is a wasteful number, since it uses less digits than its factorization.

444104020092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 444104020092 in words is "four hundred forty-four billion, one hundred four million, twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 12 31 61 62 93 122 124 183 186 244 313 366 372 626 732 939 961 1252 1878 1891 1922 2017 2883 3756 3782 3844 4034 5673 5766 6051 7564 8068 9703 11346 11532 12102 19093 19406 22692 24204 29109 38186 38812 57279 58218 58621 62527 76372 114558 116436 117242 123037 125054 175863 187581 229116 234484 246074 250108 300793 351726 369111 375162 492148 591883 601586 631321 703452 738222 750324 902379 1183766 1203172 1262642 1476444 1775649 1804758 1893963 1938337 2367532 2525284 3551298 3609516 3787926 3814147 3876674 5815011 7102596 7575852 7628294 7753348 11442441 11630022 15256588 18348373 19570951 22884882 23260044 36696746 38510581 39141902 45769764 55045119 58712853 73393492 77021162 78283804 110090238 115531743 117425706 118238557 154042324 220180476 231063486 234851412 236477114 354715671 462126972 472954228 606699481 709431342 1193828011 1213398962 1418862684 1820098443 2387656022 2426797924 3581484033 3640196886 4775312044 7162968066 7280393772 14325936132 37008668341 74017336682 111026005023 148034673364 222052010046 444104020092