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10040130431140 = 2251136736601093
BaseRepresentation
bin1001001000011010011001…
…1010000110100010100100
31022112211022221201101012211
42102012212122012202210
52303444141342244030
633204212223253204
72054242535362645
oct222064632064244
938484287641184
1010040130431140
113220aa4978997
121161a1744a204
1357aa1b247874
14269d32b6d6cc
151262780e112a
hex921a66868a4

10040130431140 has 48 divisors (see below), whose sum is σ = 21302469660528. Its totient is φ = 3974596706304.

The previous prime is 10040130431063. The next prime is 10040130431161. The reversal of 10040130431140 is 4113403104001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 279917181184 + 9760213249956 = 529072^2 + 3124134^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779567 + ... + 4821526.

It is an arithmetic number, because the mean of its divisors is an integer number (443801451261).

Almost surely, 210040130431140 is an apocalyptic number.

10040130431140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040130431140 is an abundant number, since it is smaller than the sum of its proper divisors (11262339229388).

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

10040130431140 is a wasteful number, since it uses less digits than its factorization.

10040130431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601888 (or 6601886 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10040130431140 its reverse (4113403104001), we get a palindrome (14153533535141).

The spelling of 10040130431140 in words is "ten trillion, forty billion, one hundred thirty million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 673 1130 1346 2260 2692 3365 6730 13460 76049 152098 304196 380245 760490 1520980 6601093 13202186 26404372 33005465 66010930 132021860 745923509 1491847018 2983694036 3729617545 4442535589 7459235090 8885071178 14918470180 17770142356 22212677945 44425355890 88850711780 502006521557 1004013043114 2008026086228 2510032607785 5020065215570 10040130431140