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131411023212040 = 2351113128291790783
BaseRepresentation
bin11101111000010010000011…
…010110111010111000001000
3122020021202211011010021102021
4131320102003112322320020
5114211014233420241130
61143253220214214224
736452063442132115
oct3570220326727010
9566252734107367
10131411023212040
11389651137a7910
12128a4405954374
135843010b52b20
14246448279b90c
15102d48033037a
hex7784835bae08

131411023212040 has 128 divisors (see below), whose sum is σ = 347393471846400. Its totient is φ = 44106530872320.

The previous prime is 131411023211999. The next prime is 131411023212097. The reversal of 131411023212040 is 40212320114131.

131411023212040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131411023211996 and 131411023212014.

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, 72486489 + ... + 74277271.

It is an arithmetic number, because the mean of its divisors is an integer number (2714011498800).

Almost surely, 2131411023212040 is an apocalyptic number.

131411023212040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131411023212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173696735923200).

131411023212040 is an abundant number, since it is smaller than the sum of its proper divisors (215982448634360).

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

131411023212040 is a wasteful number, since it uses less digits than its factorization.

131411023212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803647 (or 1803643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131411023212040 its reverse (40212320114131), we get a palindrome (171623343326171).

The spelling of 131411023212040 in words is "one hundred thirty-one trillion, four hundred eleven billion, twenty-three million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 12829 25658 51316 64145 102632 128290 141119 166777 256580 282238 333554 513160 564476 667108 705595 833885 1128952 1334216 1411190 1667770 1790783 1834547 2822380 3335540 3581566 3669094 5644760 6671080 7163132 7338188 8953915 9172735 14326264 14676376 17907830 18345470 19698613 23280179 35815660 36690940 39397226 46560358 71631320 73381880 78794452 93120716 98493065 116400895 157588904 186241432 196986130 232801790 256081969 393972260 465603580 512163938 787944520 931207160 1024327876 1280409845 2048655752 2560819690 5121639380 10243278760 22973955107 45947910214 91895820428 114869775535 183791640856 229739551070 252713506177 298661416391 459479102140 505427012354 597322832782 918958204280 1010854024708 1194645665564 1263567530885 1493307081955 2021708049416 2389291331128 2527135061770 2986614163910 3285275580301 5054270123540 5973228327820 6570551160602 10108540247080 11946456655640 13141102321204 16426377901505 26282204642408 32852755803010 65705511606020 131411023212040