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42231034320400 = 2452891186265009
BaseRepresentation
bin10011001101000101011011…
…10011001001011000010000
312112112020200101121101000001
421212202231303021120100
521013403124241223100
6225452400324335344
711616043253630032
oct1146425563113020
9175466611541001
1042231034320400
1112502098a05332
1248a07a7b44554
131a744a58a88a3
14a5ddc89b7c52
154d37d59a7d6a
hex2668adcc9610

42231034320400 has 60 divisors (see below), whose sum is σ = 102600060714900. Its totient is φ = 16702611312640.

The previous prime is 42231034320367. The next prime is 42231034320439. The reversal of 42231034320400 is 402343013224.

It can be written as a sum of positive squares in 6 ways, for example, as 12473922040336 + 29757112280064 = 3531844^2 + 5455008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593096905 + ... + 593168104.

It is an arithmetic number, because the mean of its divisors is an integer number (1710001011915).

Almost surely, 242231034320400 is an apocalyptic number.

42231034320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42231034320400 is an abundant number, since it is smaller than the sum of its proper divisors (60369026394500).

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

42231034320400 is a wasteful number, since it uses less digits than its factorization.

42231034320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186265116 (or 1186265105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42231034320400 its reverse (402343013224), we get a palindrome (42633377333624).

The spelling of 42231034320400 in words is "forty-two trillion, two hundred thirty-one billion, thirty-four million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 7120 8900 17800 35600 1186265009 2372530018 4745060036 5931325045 9490120072 11862650090 18980240144 23725300180 29656625225 47450600360 59313250450 94901200720 105577585801 118626500900 211155171602 237253001800 422310343204 474506003600 527887929005 844620686408 1055775858010 1689241372816 2111551716020 2639439645025 4223103432040 5278879290050 8446206864080 10557758580100 21115517160200 42231034320400