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240044426071032 = 233112972295476803
BaseRepresentation
bin110110100101000110110010…
…101111110000101111111000
31011110221000121210001022102010
4312211012302233300233320
5222430341441033233112
62210310515330405520
7101363431436633322
oct6645066257605770
91143830553038363
10240044426071032
116a5382a6632100
1222b0a2747308a0
13a3c312789972b
14433c2d8450612
151cb418e12b63c
hexda51b2bf0bf8

240044426071032 has 384 divisors, whose sum is σ = 670658860166400. Its totient is φ = 71534907924480.

The previous prime is 240044426071007. The next prime is 240044426071111. The reversal of 240044426071032 is 230170624440042.

It is a super-2 number, since 2×2400444260710322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35285080543 + ... + 35285087345.

It is an arithmetic number, because the mean of its divisors is an integer number (1746507448350).

Almost surely, 2240044426071032 is an apocalyptic number.

240044426071032 is a gapful number since it is divisible by the number (22) 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 240044426071032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335329430083200).

240044426071032 is an abundant number, since it is smaller than the sum of its proper divisors (430614434095368).

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

240044426071032 is a wasteful number, since it uses less digits than its factorization.

240044426071032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 240044426071032 in words is "two hundred forty trillion, forty-four billion, four hundred twenty-six million, seventy-one thousand, thirty-two".