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131411112303040 = 2656760531012597
BaseRepresentation
bin11101111000010010001000…
…101010110001100111000000
3122020021210001100202120021221
4131320102020222301213000
5114211014424222144130
61143253233115524424
736452065603320463
oct3570221052614700
9566253040676257
10131411112303040
113896515a018239
12128a442b759714
1358430264470ab
14246449054d2da
15102d48807c87a
hex778488ab19c0

131411112303040 has 112 divisors (see below), whose sum is σ = 317645981818272. Its totient is φ = 51771295420416.

The previous prime is 131411112302947. The next prime is 131411112303059. The reversal of 131411112303040 is 40303211114131.

It is a junction number, because it is equal to n+sod(n) for n = 131411112302996 and 131411112303014.

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, 129270022 + ... + 130282618.

Almost surely, 2131411112303040 is an apocalyptic number.

131411112303040 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 131411112303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158822990909136).

131411112303040 is an abundant number, since it is smaller than the sum of its proper divisors (186234869515232).

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

131411112303040 is a wasteful number, since it uses less digits than its factorization.

131411112303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018734 (or 1018724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131411112303040 its reverse (40303211114131), we get a palindrome (171714323417171).

The spelling of 131411112303040 in words is "one hundred thirty-one trillion, four hundred eleven billion, one hundred twelve million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2680 4288 5360 6053 10720 12106 21440 24212 30265 48424 60530 96848 121060 193696 242120 387392 405551 484240 811102 968480 1012597 1622204 1936960 2025194 2027755 3244408 4050388 4055510 5062985 6488816 8100776 8111020 10125970 12977632 16201552 16222040 20251940 25955264 32403104 32444080 40503880 64806208 64888160 67843999 81007760 129776320 135687998 162015520 271375996 324031040 339219995 542751992 678439990 1085503984 1356879980 2171007968 2713759960 4342015936 5427519920 6129249641 10855039840 12258499282 21710079680 24516998564 30646248205 49033997128 61292496410 98067994256 122584992820 196135988512 245169985640 392271977024 410659725947 490339971280 821319451894 980679942560 1642638903788 1961359885120 2053298629735 3285277807576 4106597259470 6570555615152 8213194518940 13141111230304 16426389037880 26282222460608 32852778075760 65705556151520 131411112303040