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10040213142520 = 23511237140939791
BaseRepresentation
bin1001001000011010101101…
…0101100111101111111000
31022112211112201100112220021
42102012223111213233320
52303444324031030040
633204224340140224
72054244561411001
oct222065325475770
938484481315807
1010040213142520
113221037631200
121161a3b097674
1357aa32417102
14269d3db401a8
151262804cd24a
hex921ab567bf8

10040213142520 has 192 divisors, whose sum is σ = 25520702659200. Its totient is φ = 3549700915200.

The previous prime is 10040213142499. The next prime is 10040213142551. The reversal of 10040213142520 is 2524131204001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252303825 + ... + 252343615.

It is an arithmetic number, because the mean of its divisors is an integer number (132920326350).

Almost surely, 210040213142520 is an apocalyptic number.

10040213142520 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 10040213142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760351329600).

10040213142520 is an abundant number, since it is smaller than the sum of its proper divisors (15480489516680).

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

10040213142520 is a wasteful number, since it uses less digits than its factorization.

10040213142520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41270 (or 41255 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10040213142520 its reverse (2524131204001), we get a palindrome (12564344346521).

The spelling of 10040213142520 in words is "ten trillion, forty billion, two hundred thirteen million, one hundred forty-two thousand, five hundred twenty".