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44131512451312 = 241113191015170971
BaseRepresentation
bin10100000100011001010110…
…00111111000000011110000
312210020221010222111110000201
422002030223013320003300
521241022314141420222
6233505423102324544
712203253006331216
oct1202145307700360
9183227128443021
1044131512451312
11130750842aa930
124b48b96289754
131b817786c9510
14ac7d95b08cb6
15517e666e4427
hex28232b1f80f0

44131512451312 has 80 divisors (see below), whose sum is σ = 105740208443520. Its totient is φ = 17542154361600.

The previous prime is 44131512451277. The next prime is 44131512451337. The reversal of 44131512451312 is 21315421513144.

It is a happy number.

It is a super-3 number, since 3×441315124513123 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507542014 + ... + 507628957.

It is an arithmetic number, because the mean of its divisors is an integer number (1321752605544).

Almost surely, 244131512451312 is an apocalyptic number.

It is an amenable number.

44131512451312 is an abundant number, since it is smaller than the sum of its proper divisors (61608695992208).

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

44131512451312 is a wasteful number, since it uses less digits than its factorization.

44131512451312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015171022 (or 1015171016 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

Adding to 44131512451312 its reverse (21315421513144), we get a palindrome (65446933964456).

The spelling of 44131512451312 in words is "forty-four trillion, one hundred thirty-one billion, five hundred twelve million, four hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 3344 3952 5434 10868 21736 43472 1015170971 2030341942 4060683884 8121367768 11166880681 13197222623 16242735536 19288248449 22333761362 26394445246 38576496898 44667522724 52788890492 77152993796 89335045448 105577780984 145169448853 154305987592 178670090896 211155561968 212170732939 250747229837 290338897706 308611975184 424341465878 501494459674 580677795412 848682931756 1002988919348 1161355590824 1697365863512 2005977838696 2322711181648 2758219528207 3394731727024 4011955677392 5516439056414 11032878112828 22065756225656 44131512451312