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125640622440 = 23325349001729
BaseRepresentation
bin111010100000011000…
…0111100000101101000
3110000022002222220211200
41311000300330011220
54024302444404230
6133415110324200
712035330445534
oct1650060740550
9400262886750
10125640622440
1149313946263
1220424959660
13bb03995798
14611c526bc4
1534052a1160
hex1d40c3c168

125640622440 has 48 divisors (see below), whose sum is σ = 408332024100. Its totient is φ = 33504165888.

The previous prime is 125640622439. The next prime is 125640622447. The reversal of 125640622440 is 44226046521.

125640622440 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 406 + 2 + 244 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122313870756 + 3326751684 = 349734^2 + 57678^2 .

It is a super-2 number, since 2×1256406224402 (a number of 23 digits) contains 22 as substring.

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 = 125640622395 and 125640622404.

It is not an unprimeable number, because it can be changed into a prime (125640622447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174500505 + ... + 174501224.

Almost surely, 2125640622440 is an apocalyptic number.

125640622440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125640622440 is an abundant number, since it is smaller than the sum of its proper divisors (282691401660).

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

125640622440 is a wasteful number, since it uses less digits than its factorization.

125640622440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349001746 (or 349001739 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 125640622440 its reverse (44226046521), we get a palindrome (169866668961).

The spelling of 125640622440 in words is "one hundred twenty-five billion, six hundred forty million, six hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 349001729 698003458 1047005187 1396006916 1745008645 2094010374 2792013832 3141015561 3490017290 4188020748 5235025935 6282031122 6980034580 8376041496 10470051870 12564062244 13960069160 15705077805 20940103740 25128124488 31410155610 41880207480 62820311220 125640622440