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2440763136512 = 29157286110613
BaseRepresentation
bin100011100001001000110…
…100011101101000000000
322122100000222110002221122
4203201020310131220000
5304442140330332022
65105134320411412
7341224246230461
oct43411064355000
98570028402848
102440763136512
11861138183a58
12335052776b68
1314921709bb1c
14861c2710d68
15437533a2742
hex23848d1da00

2440763136512 has 80 divisors (see below), whose sum is σ = 4909999335912. Its totient is φ = 1212070379520.

The previous prime is 2440763136479. The next prime is 2440763136517. The reversal of 2440763136512 is 2156313670442.

It can be written as a sum of positive squares in 4 ways, for example, as 2418099640576 + 22663495936 = 1555024^2 + 150544^2 .

It is a super-2 number, since 2×24407631365122 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2440763136517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229973318 + ... + 229983930.

Almost surely, 22440763136512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440763136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454999667956).

2440763136512 is an abundant number, since it is smaller than the sum of its proper divisors (2469236199400).

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

2440763136512 is a wasteful number, since it uses less digits than its factorization.

2440763136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13633 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 2440763136512 in words is "two trillion, four hundred forty billion, seven hundred sixty-three million, one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1256 2512 2861 5024 5722 10048 10613 11444 20096 21226 22888 40192 42452 45776 80384 84904 91552 169808 183104 339616 366208 449177 679232 732416 898354 1358464 1464832 1666241 1796708 2716928 3332482 3593416 5433856 6664964 7186832 13329928 14373664 26659856 28747328 30363793 53319712 57494656 60727586 106639424 114989312 121455172 213278848 229978624 242910344 426557696 485820688 853115392 971641376 1943282752 3886565504 4767115501 7773131008 9534231002 15546262016 19068462004 38136924008 76273848016 152547696032 305095392064 610190784128 1220381568256 2440763136512