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40007384280 = 233257313111621
BaseRepresentation
bin100101010000101000…
…000011110011011000
310211021011221200211100
4211100220003303120
51123413342244110
630213521031400
72614264104213
oct452050036330
9124234850740
1040007384280
1115a70141a56
127906485560
133a07769666
141d1757077a
151092494bc0
hex950a03cd8

40007384280 has 192 divisors, whose sum is σ = 132822724320. Its totient is φ = 10441267200.

The previous prime is 40007384237. The next prime is 40007384297. The reversal of 40007384280 is 8248370004.

It is a super-2 number, since 2×400073842802 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436870 + ... + 3448490.

Almost surely, 240007384280 is an apocalyptic number.

40007384280 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 40007384280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66411362160).

40007384280 is an abundant number, since it is smaller than the sum of its proper divisors (92815340040).

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

40007384280 is a wasteful number, since it uses less digits than its factorization.

40007384280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40007384280 in words is "forty billion, seven million, three hundred eighty-four thousand, two hundred eighty".