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1013142315040 = 25540191575551
BaseRepresentation
bin11101011111000111111…
…11001110000000100000
310120212002122000012110221
432233203333032000200
5113044403413040130
62053233043532424
7133124416405222
oct16574377160040
93525078005427
101013142315040
11360742473789
1214442b38a114
1374700ca850b
1437071a5a412
151b54a42a87a
hexebe3fce020

1013142315040 has 48 divisors (see below), whose sum is σ = 2394145797120. Its totient is φ = 405155833600.

The previous prime is 1013142315001. The next prime is 1013142315067. The reversal of 1013142315040 is 405132413101.

It is a super-2 number, since 2×10131423150402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013142314996 and 1013142315014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144736 + ... + 1430815.

It is an arithmetic number, because the mean of its divisors is an integer number (49878037440).

Almost surely, 21013142315040 is an apocalyptic number.

1013142315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013142315040 is an abundant number, since it is smaller than the sum of its proper divisors (1381003482080).

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

1013142315040 is a wasteful number, since it uses less digits than its factorization.

1013142315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579585 (or 1579577 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1013142315040 its reverse (405132413101), we get a palindrome (1418274728141).

The spelling of 1013142315040 in words is "one trillion, thirteen billion, one hundred forty-two million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4019 8038 16076 20095 32152 40190 64304 80380 128608 160760 321520 643040 1575551 3151102 6302204 7877755 12604408 15755510 25208816 31511020 50417632 63022040 126044080 252088160 6332139469 12664278938 25328557876 31660697345 50657115752 63321394690 101314231504 126642789380 202628463008 253285578760 506571157520 1013142315040