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442303041432 = 23372632756199
BaseRepresentation
bin1100110111110110101…
…00001100111110011000
31120021122212012112102010
412123323110030332120
524221314034311212
6535105145105520
743645452551220
oct6337324147630
91507585175363
10442303041432
1116064159956a
127187a4882a0
133292a88c1c5
141759c591080
15b78a6a303c
hex66fb50cf98

442303041432 has 32 divisors (see below), whose sum is σ = 1263722976000. Its totient is φ = 126372297504.

The previous prime is 442303041431. The next prime is 442303041443. The reversal of 442303041432 is 234140303244.

It is a happy number.

It is a super-2 number, since 2×4423030414322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442303041432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442303041431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1316377932 + ... + 1316378267.

It is an arithmetic number, because the mean of its divisors is an integer number (39491343000).

Almost surely, 2442303041432 is an apocalyptic number.

442303041432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442303041432 is an abundant number, since it is smaller than the sum of its proper divisors (821419934568).

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

442303041432 is a wasteful number, since it uses less digits than its factorization.

442303041432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632756215 (or 2632756211 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 442303041432 its reverse (234140303244), we get a palindrome (676443344676).

The spelling of 442303041432 in words is "four hundred forty-two billion, three hundred three million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2632756199 5265512398 7898268597 10531024796 15796537194 18429293393 21062049592 31593074388 36858586786 55287880179 63186148776 73717173572 110575760358 147434347144 221151520716 442303041432