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31345554431040 = 2635115471282769
BaseRepresentation
bin1110010000010001101001…
…01000110001110001000000
311002222121100120202002011220
413020020310220301301000
513102031143413243130
6150355540544235040
76413433026344113
oct710106450616100
9132877316662156
1031345554431040
119a95636332563
123622b8a90ba80
131464b47279b15
147a51c0a8857a
15395583158410
hex1c8234a31c40

31345554431040 has 112 divisors (see below), whose sum is σ = 99523349157120. Its totient is φ = 8358712565760.

The previous prime is 31345554430991. The next prime is 31345554431077. The reversal of 31345554431040 is 4013445554313.

It is a junction number, because it is equal to n+sod(n) for n = 31345554430983 and 31345554431001.

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, 110710776 + ... + 110993544.

It is an arithmetic number, because the mean of its divisors is an integer number (888601331760).

Almost surely, 231345554431040 is an apocalyptic number.

31345554431040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31345554431040 is an abundant number, since it is smaller than the sum of its proper divisors (68177794726080).

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

31345554431040 is a wasteful number, since it uses less digits than its factorization.

31345554431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398260 (or 398250 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 31345554431040 its reverse (4013445554313), we get a palindrome (35358999985353).

The spelling of 31345554431040 in words is "thirty-one trillion, three hundred forty-five billion, five hundred fifty-four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 115471 230942 282769 346413 461884 565538 577355 692826 848307 923768 1131076 1154710 1385652 1413845 1696614 1732065 1847536 2262152 2309420 2771304 2827690 3393228 3464130 3695072 4241535 4524304 4618840 5542608 5655380 6786456 6928260 7390144 8483070 9048608 9237680 11085216 11310760 13572912 13856520 16966140 18097216 18475360 22170432 22621520 27145824 27713040 33932280 36950720 45243040 54291648 55426080 67864560 90486080 110852160 135729120 271458240 32651619199 65303238398 97954857597 130606476796 163258095995 195909715194 261212953592 326516191990 391819430388 489774287985 522425907184 653032383980 783638860776 979548575970 1044851814368 1306064767960 1567277721552 1959097151940 2089703628736 2612129535920 3134555443104 3918194303880 5224259071840 6269110886208 7836388607760 10448518143680 15672777215520 31345554431040