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40469289984 = 210351031579
BaseRepresentation
bin100101101100001010…
…000101110000000000
310212110101002221100000
4211230022011300000
51130340114234414
630331421200000
72631603201114
oct455412056000
9125411087300
1040469289984
111618794a602
127a15100000
133a7c374446
141d5ca4b744
1510bccd5b09
hex96c285c00

40469289984 has 264 divisors, whose sum is σ = 122436146560. Its totient is φ = 13350334464.

The previous prime is 40469289983. The next prime is 40469290019. The reversal of 40469289984 is 48998296404.

40469289984 is a `hidden beast` number, since 4 + 0 + 469 + 2 + 8 + 99 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40469289983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25628907 + ... + 25630485.

Almost surely, 240469289984 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 40469289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61218073280).

40469289984 is an abundant number, since it is smaller than the sum of its proper divisors (81966856576).

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

40469289984 is a wasteful number, since it uses less digits than its factorization.

40469289984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 40469289984 in words is "forty billion, four hundred sixty-nine million, two hundred eighty-nine thousand, nine hundred eighty-four".