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402402204204 = 22371113299711909
BaseRepresentation
bin1011101101100010000…
…10100101101000101100
31102110200002201222122220
411312301002211220230
523043104431013304
6504505551435340
741033621204550
oct5666102455054
91373602658586
10402402204204
1114572660aa30
1265ba3825b50
132bc3c219350
1415695237860
15a702757ad9
hex5db10a5a2c

402402204204 has 384 divisors, whose sum is σ = 1317699532800. Its totient is φ = 92185067520.

The previous prime is 402402204203. The next prime is 402402204241.

402402204204 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (402402204203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33783802 + ... + 33795710.

It is an arithmetic number, because the mean of its divisors is an integer number (3431509200).

Almost surely, 2402402204204 is an apocalyptic number.

402402204204 is a gapful number since it is divisible by the number (44) 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 402402204204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658849766400).

402402204204 is an abundant number, since it is smaller than the sum of its proper divisors (915297328596).

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

402402204204 is a wasteful number, since it uses less digits than its factorization.

402402204204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12073 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 402402 and 204204, that added together give a palindrome (606606).

The spelling of 402402204204 in words is "four hundred two billion, four hundred two million, two hundred four thousand, two hundred four".