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40615242480 = 24335971491301
BaseRepresentation
bin100101110100110110…
…110110101011110000
310212211112202002112000
4211310312312223300
51131140000224410
630354113334000
72635324602441
oct456466665360
9125745662460
1040615242480
11162522778aa
127a55b67300
133aa3686c77
141d741a12c8
1510caa15dc0
hex974db6af0

40615242480 has 320 divisors, whose sum is σ = 142397136000. Its totient is φ = 10638950400.

The previous prime is 40615242449. The next prime is 40615242533. The reversal of 40615242480 is 8424251604.

40615242480 is a `hidden beast` number, since 4 + 0 + 6 + 152 + 424 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 31217830 + ... + 31219130.

It is an arithmetic number, because the mean of its divisors is an integer number (444991050).

Almost surely, 240615242480 is an apocalyptic number.

40615242480 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 40615242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198568000).

40615242480 is an abundant number, since it is smaller than the sum of its proper divisors (101781893520).

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

40615242480 is a wasteful number, since it uses less digits than its factorization.

40615242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40615242480 in words is "forty billion, six hundred fifteen million, two hundred forty-two thousand, four hundred eighty".