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40294969344 = 21233752051
BaseRepresentation
bin100101100001110001…
…000111000000000000
310212000020002112101000
4211201301013000000
51130011003004334
630302233012000
72624355405510
oct454161070000
9125006075330
1040294969344
11160a8506963
127986854000
133a5220b636
141d43831840
1510ac850299
hex961c47000

40294969344 has 208 divisors, whose sum is σ = 136434538240. Its totient is φ = 11512627200.

The previous prime is 40294969307. The next prime is 40294969361. The reversal of 40294969344 is 44396949204.

It is a happy number.

40294969344 is a `hidden beast` number, since 4 + 0 + 29 + 496 + 93 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748119 + ... + 800169.

It is an arithmetic number, because the mean of its divisors is an integer number (655935280).

Almost surely, 240294969344 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 40294969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68217269120).

40294969344 is an abundant number, since it is smaller than the sum of its proper divisors (96139568896).

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

40294969344 is an equidigital number, since it uses as much as digits as its factorization.

40294969344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52091 (or 52063 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 40294969344 in words is "forty billion, two hundred ninety-four million, nine hundred sixty-nine thousand, three hundred forty-four".