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44023444432044 = 223711108534389977
BaseRepresentation
bin10100000001010000000011…
…10001000110010010101100
312202212121012112110020222120
422000220001301012102230
521232240003233311134
6233344031405512540
712162405664325520
oct1200500161062254
9182777175406876
1044023444432044
1113033268769510
124b30056572750
131b7451554c89c
14ac2a63355d80
1551523e025649
hex280a01c464ac

44023444432044 has 96 divisors (see below), whose sum is σ = 128080031417856. Its totient is φ = 11433604692480.

The previous prime is 44023444432003. The next prime is 44023444432141.

44023444432044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×440234444320442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 44023444431987 and 44023444432005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7833184 + ... + 12223160.

It is an arithmetic number, because the mean of its divisors is an integer number (1334166993936).

Almost surely, 244023444432044 is an apocalyptic number.

44023444432044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44023444432044 is an abundant number, since it is smaller than the sum of its proper divisors (84056586985812).

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

44023444432044 is a wasteful number, since it uses less digits than its factorization.

44023444432044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400855 (or 4400853 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 4402344 and 4432044, that added together give a palindrome (8834388).

The spelling of 44023444432044 in words is "forty-four trillion, twenty-three billion, four hundred forty-four million, four hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 10853 21706 32559 43412 65118 75971 119383 130236 151942 227913 238766 303884 358149 455826 477532 716298 835681 911652 1432596 1671362 2507043 3342724 4389977 5014086 8779954 10028172 13169931 17559908 26339862 30729839 48289747 52679724 61459678 92189517 96579494 122919356 144869241 184379034 193158988 289738482 338028229 368758068 579476964 676056458 1014084687 1352112916 2028169374 4056338748 47644420381 95288840762 142933261143 190577681524 285866522286 333510942667 524088624191 571733044572 667021885334 1000532828001 1048177248382 1334043770668 1572265872573 2001065656002 2096354496764 3144531745146 3668620369337 4002131312004 6289063490292 7337240738674 11005861108011 14674481477348 22011722216022 44023444432044