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31295949078912 = 273770116608899
BaseRepresentation
bin1110001110110101001111…
…11011011000000110000000
311002210212022111112002122220
413013122213323120012000
513100223100431011122
6150321054401331040
76410025535662210
oct707324773300600
9132725274462586
1031295949078912
119a765a040a281
123615446036a80
1314602701c655b
147a2a36928240
1539412d26b25c
hex1c76a7ed8180

31295949078912 has 128 divisors (see below), whose sum is σ = 95141094048000. Its totient is φ = 8928943564800.

The previous prime is 31295949078881. The next prime is 31295949078929. The reversal of 31295949078912 is 21987094959213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×312959490789122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6420162 + ... + 10188737.

It is an arithmetic number, because the mean of its divisors is an integer number (743289797250).

Almost surely, 231295949078912 is an apocalyptic number.

31295949078912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31295949078912 is an abundant number, since it is smaller than the sum of its proper divisors (63845144969088).

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

31295949078912 is a wasteful number, since it uses less digits than its factorization.

31295949078912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16609624 (or 16609612 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 69.

The spelling of 31295949078912 in words is "thirty-one trillion, two hundred ninety-five billion, nine hundred forty-nine million, seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 701 896 1344 1402 2103 2688 2804 4206 4907 5608 8412 9814 11216 14721 16824 19628 22432 29442 33648 39256 44864 58884 67296 78512 89728 117768 134592 157024 235536 269184 314048 471072 628096 942144 1884288 16608899 33217798 49826697 66435596 99653394 116262293 132871192 199306788 232524586 265742384 348786879 398613576 465049172 531484768 697573758 797227152 930098344 1062969536 1395147516 1594454304 1860196688 2125939072 2790295032 3188908608 3720393376 5580590064 6377817216 7440786752 11161180128 11642838199 14881573504 22322360256 23285676398 34928514597 44644720512 46571352796 69857029194 81499867393 93142705592 139714058388 162999734786 186285411184 244499602179 279428116776 325999469572 372570822368 488999204358 558856233552 651998939144 745141644736 977998408716 1117712467104 1303997878288 1490283289472 1955996817432 2235424934208 2607995756576 3911993634864 4470849868416 5215991513152 7823987269728 10431983026304 15647974539456 31295949078912