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40246481880 = 233351129116819
BaseRepresentation
bin100101011110111000…
…001001001111011000
310211212211212010002000
4211132320021033120
51124411044410010
630253341441000
72623226310603
oct453670111730
9124784763060
1040246481880
11160830a9580
127972570160
133a45162827
141d3b20d33a
1510a84737c0
hex95ee093d8

40246481880 has 256 divisors, whose sum is σ = 151398720000. Its totient is φ = 9420203520.

The previous prime is 40246481857. The next prime is 40246481903. The reversal of 40246481880 is 8818464204.

40246481880 is a `hidden beast` number, since 4 + 0 + 2 + 464 + 8 + 188 + 0 = 666.

40246481880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40246481857) and next prime (40246481903).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 286111 + ... + 402929.

It is an arithmetic number, because the mean of its divisors is an integer number (591401250).

Almost surely, 240246481880 is an apocalyptic number.

40246481880 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 40246481880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75699360000).

40246481880 is an abundant number, since it is smaller than the sum of its proper divisors (111152238120).

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

40246481880 is a wasteful number, since it uses less digits than its factorization.

40246481880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116879 (or 116869 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 40246481880 in words is "forty billion, two hundred forty-six million, four hundred eighty-one thousand, eight hundred eighty".