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40253141622416 = 2420172729457057
BaseRepresentation
bin10010010011100001010100…
…01101010001111010010000
312021112011101122112211012112
421021300222031101322100
520234001413223404131
6221340012111444452
711323123242244352
oct1111605215217220
9167464348484175
1040253141622416
111190a297059788
1246213b3826728
13195cb16495818
149d239623b0d2
1549c12375202b
hex249c2a351e90

40253141622416 has 40 divisors (see below), whose sum is σ = 78057891813720. Its totient is φ = 20109176930304.

The previous prime is 40253141622413. The next prime is 40253141622437. The reversal of 40253141622416 is 61422614135204.

40253141622416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36485272412416 + 3767869210000 = 6040304^2 + 1941100^2 .

It is not an unprimeable number, because it can be changed into a prime (40253141622413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87841760 + ... + 88298816.

It is an arithmetic number, because the mean of its divisors is an integer number (1951447295343).

Almost surely, 240253141622416 is an apocalyptic number.

It is an amenable number.

40253141622416 is a deficient number, since it is larger than the sum of its proper divisors (37804750191304).

40253141622416 is a wasteful number, since it uses less digits than its factorization.

40253141622416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461811 (or 461805 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 40253141622416 in words is "forty trillion, two hundred fifty-three billion, one hundred forty-one million, six hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 2017 2729 4034 5458 8068 10916 16136 21832 32272 43664 457057 914114 1828228 3656456 5504393 7312912 11008786 22017572 44035144 88070288 921883969 1247308553 1843767938 2494617106 3687535876 4989234212 7375071752 9978468424 14750143504 19956936848 2515821351401 5031642702802 10063285405604 20126570811208 40253141622416