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43444252232040 = 233511191732226963
BaseRepresentation
bin10011110000011001001110…
…01110001100100101101000
312200211020012122010222000110
421320030213032030211220
521143242312032411130
6232222003002534320
712102513033005442
oct1170144716144550
9180736178128013
1043444252232040
111292a670883040
124a579542073a0
131b31a1075128a
14aa29da793492
15505140cdbab0
hex27832738c968

43444252232040 has 128 divisors (see below), whose sum is σ = 149664409689600. Its totient is φ = 9977627301120.

The previous prime is 43444252232027. The next prime is 43444252232077. The reversal of 43444252232040 is 4023225244434.

It is a happy number.

It is a super-2 number, since 2×434442522320402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43444252232040.

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, 866088402 + ... + 866138561.

It is an arithmetic number, because the mean of its divisors is an integer number (1169253200700).

Almost surely, 243444252232040 is an apocalyptic number.

43444252232040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43444252232040 is an abundant number, since it is smaller than the sum of its proper divisors (106220157457560).

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

43444252232040 is a wasteful number, since it uses less digits than its factorization.

43444252232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732227007 (or 1732227003 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 39.

Adding to 43444252232040 its reverse (4023225244434), we get a palindrome (47467477476474).

The spelling of 43444252232040 in words is "forty-three trillion, four hundred forty-four billion, two hundred fifty-two million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 1732226963 3464453926 5196680889 6928907852 8661134815 10393361778 13857815704 17322269630 19054496593 20786723556 25983404445 32912312297 34644539260 38108993186 41573447112 51966808890 57163489779 65824624594 69289078520 76217986372 95272482965 98736936891 103933617780 114326979558 131649249188 152435972744 164561561485 190544965930 197473873782 207867235560 228653959116 263298498376 285817448895 329123122970 362035435267 381089931860 394947747564 457307918232 493684684455 571634897790 658246245940 724070870534 762179863720 789895495128 987369368910 1086106305801 1143269795580 1316492491880 1448141741068 1810177176335 1974738737820 2172212611602 2286539591160 2896283482136 3620354352670 3949477475640 4344425223204 5430531529005 7240708705340 8688850446408 10861063058010 14481417410680 21722126116020 43444252232040