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253102300040 = 23547238156543
BaseRepresentation
bin1110101110111000010…
…0101001101110001000
3220012022010122000201202
43223232010221232020
513121323142100130
6312135032403332
724200053024202
oct3535604515610
9805263560652
10253102300040
1198381717187
1241077546548
131ab37a10aa5
14c370847772
1568b5369145
hex3aee129b88

253102300040 has 64 divisors (see below), whose sum is σ = 581851330560. Its totient is φ = 99043490560.

The previous prime is 253102300039. The next prime is 253102300093. The reversal of 253102300040 is 40003201352.

It is a happy number.

253102300040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 253102299985 and 253102300021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4448009 + ... + 4504551.

It is an arithmetic number, because the mean of its divisors is an integer number (9091427040).

Almost surely, 2253102300040 is an apocalyptic number.

253102300040 is a gapful number since it is divisible by the number (20) 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 253102300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290925665280).

253102300040 is an abundant number, since it is smaller than the sum of its proper divisors (328749030520).

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

253102300040 is a wasteful number, since it uses less digits than its factorization.

253102300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58982 (or 58978 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 253102300040 its reverse (40003201352), we get a palindrome (293105501392).

The spelling of 253102300040 in words is "two hundred fifty-three billion, one hundred two million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2381 4762 9524 11905 19048 23810 47620 56543 95240 111907 113086 223814 226172 282715 447628 452344 559535 565430 895256 1119070 1130860 2238140 2261720 2657521 4476280 5315042 10630084 13287605 21260168 26575210 53150420 106300840 134628883 269257766 538515532 673144415 1077031064 1346288830 2692577660 5385155320 6327557501 12655115002 25310230004 31637787505 50620460008 63275575010 126551150020 253102300040