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125123521440 = 2535260674003
BaseRepresentation
bin111010010000111110…
…0010110101110100000
3102221222001222110121210
41310201330112232200
54022223110141230
6133251515150120
712016451245461
oct1644174265640
9387861873553
10125123521440
1149078a69665
12202bb745340
13ba50803968
1460ad99cd68
1533c4baaeb0
hex1d21f16ba0

125123521440 has 48 divisors (see below), whose sum is σ = 394139094048. Its totient is φ = 33366272256.

The previous prime is 125123521433. The next prime is 125123521451. The reversal of 125123521440 is 44125321521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1251235214402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 125123521398 and 125123521407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130336522 + ... + 130337481.

It is an arithmetic number, because the mean of its divisors is an integer number (8211231126).

Almost surely, 2125123521440 is an apocalyptic number.

125123521440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125123521440 is an abundant number, since it is smaller than the sum of its proper divisors (269015572608).

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

125123521440 is a wasteful number, since it uses less digits than its factorization.

125123521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260674021 (or 260674013 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 125123521440 its reverse (44125321521), we get a palindrome (169248842961).

The spelling of 125123521440 in words is "one hundred twenty-five billion, one hundred twenty-three million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 260674003 521348006 782022009 1042696012 1303370015 1564044018 2085392024 2606740030 3128088036 3910110045 4170784048 5213480060 6256176072 7820220090 8341568096 10426960120 12512352144 15640440180 20853920240 25024704288 31280880360 41707840480 62561760720 125123521440