Search a number
-
+
2042022004344 = 2332721734047319
BaseRepresentation
bin11101101101110001111…
…111110000011001111000
321020012211000122211222100
4131231301333300121320
5231424030113114334
64202031510223400
7300350131435200
oct35556177603170
97205730584870
102042022004344
117180202056a3
1228b911054b60
1311a73c4c67ba
1470b97803400
15381b7271c99
hex1db71ff0678

2042022004344 has 144 divisors (see below), whose sum is σ = 6811847312400. Its totient is φ = 549115144704.

The previous prime is 2042022004313. The next prime is 2042022004367. The reversal of 2042022004344 is 4434002202402.

2042022004344 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 0 + 220 + 0 + 434 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16963684 + ... + 17083635.

It is an arithmetic number, because the mean of its divisors is an integer number (47304495225).

Almost surely, 22042022004344 is an apocalyptic number.

2042022004344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042022004344 is an abundant number, since it is smaller than the sum of its proper divisors (4769825308056).

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

2042022004344 is a wasteful number, since it uses less digits than its factorization.

2042022004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34047362 (or 34047348 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2042022004344 its reverse (4434002202402), we get a palindrome (6476024206746).

The spelling of 2042022004344 in words is "two trillion, forty-two billion, twenty-two million, four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 34047319 68094638 102141957 136189276 204283914 238331233 272378552 306425871 408567828 476662466 578804423 612851742 714993699 817135656 953324932 1157608846 1225703484 1429987398 1668318631 1736413269 1906649864 2144981097 2315217692 2451406968 2859974796 3336637262 3472826538 4051630961 4289962194 4630435384 5004955893 5209239807 5719949592 6673274524 6945653076 8103261922 8579924388 10009911786 10418479614 12154892883 13346549048 13891306152 15014867679 16206523844 17159848776 20019823572 20836959228 24309785766 28361416727 30029735358 32413047688 36464678649 40039647144 41673918456 48619571532 56722833454 60059470716 72929357298 85084250181 97239143064 113445666908 120118941432 145858714596 170168500362 226891333816 255252750543 291717429192 340337000724 510505501086 680674001448 1021011002172 2042022004344