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126324254340 = 223253541198193
BaseRepresentation
bin111010110100110000…
…0110010011010000100
3110002001202101000111200
41311221200302122010
54032203002114330
6134011011102500
712061301305464
oct1655140623204
9402052330450
10126324254340
1149634825aa9
12205958a1a30
13bbb24c38bb
14618523dba4
1534452dda60
hex1d69832684

126324254340 has 72 divisors (see below), whose sum is σ = 383293718808. Its totient is φ = 33676784640.

The previous prime is 126324254327. The next prime is 126324254389. The reversal of 126324254340 is 43452423621.

126324254340 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 42 + 543 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 651168324 + 125673086016 = 25518^2 + 354504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126324254295 and 126324254304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538284 + ... + 736476.

Almost surely, 2126324254340 is an apocalyptic number.

126324254340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126324254340 is an abundant number, since it is smaller than the sum of its proper divisors (256969464468).

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

126324254340 is a wasteful number, since it uses less digits than its factorization.

126324254340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201749 (or 201744 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 126324254340 its reverse (43452423621), we get a palindrome (169776677961).

The spelling of 126324254340 in words is "one hundred twenty-six billion, three hundred twenty-four million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3541 7082 10623 14164 17705 21246 31869 35410 42492 53115 63738 70820 106230 127476 159345 198193 212460 318690 396386 594579 637380 792772 990965 1189158 1783737 1981930 2378316 2972895 3567474 3963860 5945790 7134948 8918685 11891580 17837370 35674740 701801413 1403602826 2105404239 2807205652 3509007065 4210808478 6316212717 7018014130 8421616956 10527021195 12632425434 14036028260 21054042390 25264850868 31581063585 42108084780 63162127170 126324254340