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44374955040 = 25325132370457
BaseRepresentation
bin101001010100111101…
…000001010000100000
311020112120022021120100
4221110331001100200
51211334442030130
632215141142400
73130436615523
oct512475012040
9136476267510
1044374955040
1117901561569
1287250baa00
134252586a60
14220d646bba
15124ab24c60
hexa54f41420

44374955040 has 144 divisors (see below), whose sum is σ = 163078028568. Its totient is φ = 10923061248.

The previous prime is 44374955029. The next prime is 44374955099. The reversal of 44374955040 is 4055947344.

44374955040 is a `hidden beast` number, since 44 + 37 + 495 + 50 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40628046096 + 3746908944 = 201564^2 + 61212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166509 + ... + 1203948.

Almost surely, 244374955040 is an apocalyptic number.

44374955040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44374955040 is an abundant number, since it is smaller than the sum of its proper divisors (118703073528).

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

44374955040 is a wasteful number, since it uses less digits than its factorization.

44374955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370491 (or 2370480 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 44374955040 in words is "forty-four billion, three hundred seventy-four million, nine hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 2370457 4740914 7111371 9481828 11852285 14222742 18963656 21334113 23704570 28445484 30815941 35556855 37927312 42668226 47409140 56890968 61631882 71113710 75854624 85336452 92447823 94818280 106670565 113781936 123263764 142227420 154079705 170672904 184895646 189636560 213341130 227563872 246527528 277343469 284454840 308159410 341345808 369791292 379273120 426682260 462239115 493055056 554686938 568909680 616318820 682691616 739582584 853364520 924478230 986110112 1109373876 1137819360 1232637640 1386717345 1479165168 1706729040 1848956460 2218747752 2465275280 2773434690 2958330336 3413458080 3697912920 4437495504 4930550560 5546869380 7395825840 8874991008 11093738760 14791651680 22187477520 44374955040