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44540415612 = 223271189180539
BaseRepresentation
bin101001011110110100…
…001100111001111100
311020222002122112210200
4221132310030321330
51212204321244422
632243411403500
73134516200050
oct513664147174
9136862575720
1044540415612
11179869a3540
1287705b3590
13427a939b14
1422275d7c60
15125a40a2ac
hexa5ed0ce7c

44540415612 has 144 divisors (see below), whose sum is σ = 141947769600. Its totient is φ = 11438887680.

The previous prime is 44540415611. The next prime is 44540415643. The reversal of 44540415612 is 21651404544.

44540415612 is a `hidden beast` number, since 4 + 4 + 54 + 0 + 41 + 561 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44540415611) 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, 156439 + ... + 336977.

It is an arithmetic number, because the mean of its divisors is an integer number (985748400).

Almost surely, 244540415612 is an apocalyptic number.

44540415612 is a gapful number since it is divisible by the number (42) 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 44540415612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70973884800).

44540415612 is an abundant number, since it is smaller than the sum of its proper divisors (97407353988).

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

44540415612 is a wasteful number, since it uses less digits than its factorization.

44540415612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180656 (or 180651 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 44540415612 in words is "forty-four billion, five hundred forty million, four hundred fifteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 89 99 126 132 154 178 198 231 252 267 308 356 396 462 534 623 693 801 924 979 1068 1246 1386 1602 1869 1958 2492 2772 2937 3204 3738 3916 5607 5874 6853 7476 8811 11214 11748 13706 17622 20559 22428 27412 35244 41118 61677 82236 123354 180539 246708 361078 541617 722156 1083234 1263773 1624851 1985929 2166468 2527546 3249702 3791319 3971858 5055092 5957787 6499404 7582638 7943716 11373957 11915574 13901503 15165276 16067971 17873361 22747914 23831148 27803006 32135942 35746722 41704509 45495828 48203913 55606012 64271884 71493444 83409018 96407826 112475797 125113527 144611739 166818036 176747681 192815652 224951594 250227054 289223478 337427391 353495362 449903188 500454108 530243043 578446956 674854782 706990724 1012282173 1060486086 1237233767 1349709564 1590729129 2024564346 2120972172 2474467534 3181458258 3711701301 4049128692 4948935068 6362916516 7423402602 11135103903 14846805204 22270207806 44540415612