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40031969040 = 24345743183
BaseRepresentation
bin100101010010000101…
…110101111100010000
310211022220012201210000
4211102011311330100
51123441141002130
630220200010000
72615013060000
oct452205657420
9124286181700
1040031969040
1115a83003938
127912760900
133a0c89685b
141d1a930000
1510946ee260
hex952175f10

40031969040 has 1000 divisors, whose sum is σ = 169449654528. Its totient is φ = 8748311040.

The previous prime is 40031969011. The next prime is 40031969057. The reversal of 40031969040 is 4096913004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40031968986 and 40031969004.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 482312839 + ... + 482312921.

Almost surely, 240031969040 is an apocalyptic number.

40031969040 is a gapful number since it is divisible by the number (40) 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 40031969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84724827264).

40031969040 is an abundant number, since it is smaller than the sum of its proper divisors (129417685488).

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

40031969040 is an equidigital number, since it uses as much as digits as its factorization.

40031969040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 40031969040 in words is "forty billion, thirty-one million, nine hundred sixty-nine thousand, forty".