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131055432411040 = 25529137512054011
BaseRepresentation
bin11101110011000110111000…
…011111101010011110100000
3122012000202222102021221212121
4131303012320133222132200
5114134203011144123130
61142422011241234024
736414304534162354
oct3563067037523640
9565022872257777
10131055432411040
1138838329a95a75
1212847507192914
135818621bcb137
14245118c5d7464
1510240bc572d7a
hex7731b87ea7a0

131055432411040 has 96 divisors (see below), whose sum is σ = 320318406092160. Its totient is φ = 50610806400000.

The previous prime is 131055432411031. The next prime is 131055432411143. The reversal of 131055432411040 is 40114234550131.

It is a junction number, because it is equal to n+sod(n) for n = 131055432410987 and 131055432411005.

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, 62777635 + ... + 64831645.

It is an arithmetic number, because the mean of its divisors is an integer number (3336650063460).

Almost surely, 2131055432411040 is an apocalyptic number.

131055432411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131055432411040 is an abundant number, since it is smaller than the sum of its proper divisors (189262973681120).

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

131055432411040 is a wasteful number, since it uses less digits than its factorization.

131055432411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067806 (or 2067798 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 131055432411040 its reverse (40114234550131), we get a palindrome (171169666961171).

The spelling of 131055432411040 in words is "one hundred thirty-one trillion, fifty-five billion, four hundred thirty-two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 13751 27502 55004 68755 110008 137510 220016 275020 398779 440032 550040 797558 1100080 1595116 1993895 2054011 2200160 3190232 3987790 4108022 6380464 7975580 8216044 10270055 12760928 15951160 16432088 20540110 31902320 32864176 41080220 59566319 63804640 65728352 82160440 119132638 164320880 238265276 297831595 328641760 476530552 595663190 953061104 1191326380 1906122208 2382652760 4765305520 9530611040 28244705261 56489410522 112978821044 141223526305 225957642088 282447052610 451915284176 564894105220 819096452569 903830568352 1129788210440 1638192905138 2259576420880 3276385810276 4095482262845 4519152841760 6552771620552 8190964525690 13105543241104 16381929051380 26211086482208 32763858102760 65527716205520 131055432411040