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402441693940 = 22511131759239587
BaseRepresentation
bin1011101101100110110…
…01001110101011110100
31102110202212001021101201
411312303121032223310
523043200033201230
6504513522102244
741034610646146
oct5666331165364
91373685037351
10402441693940
11145746932180
1265bb4aaa984
132bc47464860
141569a596c96
15a705e585ca
hex5db364eaf4

402441693940 has 384 divisors, whose sum is σ = 1075402137600. Its totient is φ = 124249251840.

The previous prime is 402441693883. The next prime is 402441693947. The reversal of 402441693940 is 49396144204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402441693947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685590327 + ... + 685590913.

It is an arithmetic number, because the mean of its divisors is an integer number (2800526400).

Almost surely, 2402441693940 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 402441693940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537701068800).

402441693940 is an abundant number, since it is smaller than the sum of its proper divisors (672960443660).

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

402441693940 is a wasteful number, since it uses less digits than its factorization.

402441693940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 402441693940 in words is "four hundred two billion, four hundred forty-one million, six hundred ninety-three thousand, nine hundred forty".