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44060011006044 = 223112163269692051
BaseRepresentation
bin10100000010010100001010…
…10011100000100001011100
312210000002120220220200110010
422001022011103200201130
521233334400304143134
6233412520054243220
712165142101144135
oct1201120523404134
9183002526820403
1044060011006044
1113047822630800
124b37160656510
131b77ac21a4b17
14ac4731934c8c
1551617e3a0ce9
hex2812854e085c

44060011006044 has 144 divisors (see below), whose sum is σ = 114118488973440. Its totient is φ = 13220258832000.

The previous prime is 44060011006043. The next prime is 44060011006069.

44060011006044 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44060011006043) 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, 63319819 + ... + 64011869.

It is an arithmetic number, because the mean of its divisors is an integer number (792489506760).

Almost surely, 244060011006044 is an apocalyptic number.

44060011006044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44060011006044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57059244486720).

44060011006044 is an abundant number, since it is smaller than the sum of its proper divisors (70058477967396).

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

44060011006044 is a wasteful number, since it uses less digits than its factorization.

44060011006044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692512 (or 692499 counting only the distinct ones).

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

The spelling of 44060011006044 in words is "forty-four trillion, sixty billion, eleven million, six thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 163 242 269 326 363 484 489 538 652 726 807 978 1076 1452 1614 1793 1956 2959 3228 3586 5379 5918 7172 8877 10758 11836 17754 19723 21516 32549 35508 39446 43847 59169 65098 78892 87694 97647 118338 130196 131541 175388 195294 236676 263082 390588 482317 526164 692051 964634 1384102 1446951 1929268 2076153 2768204 2893902 4152306 5305487 5787804 7612561 8304612 10610974 15225122 15916461 21221948 22837683 30450244 31832922 45675366 63665844 83738171 91350732 112804313 167476342 186161719 225608626 251214513 334952684 338412939 372323438 451217252 502429026 558485157 676825878 744646876 1004858052 1116970314 1240847443 1353651756 2047778909 2233940628 2481694886 3722542329 4095557818 4963389772 6143336727 7445084658 8191115636 12286673454 13649321873 14890169316 22525567999 24573346908 27298643746 30344360197 40947965619 45051135998 54597287492 60688720394 67576703997 81895931238 90102271996 91033080591 121377440788 135153407994 163791862476 182066161182 270306815988 333787962167 364132322364 667575924334 1001363886501 1335151848668 2002727773002 3671667583837 4005455546004 7343335167674 11015002751511 14686670335348 22030005503022 44060011006044