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125299470240 = 2536571941197
BaseRepresentation
bin111010010110001101…
…1100010111110100000
3102222102100001121000000
41310230123202332200
54023103131021430
6133321202300000
712024015631650
oct1645433427640
9388370047000
10125299470240
114915931459a
122034a657600
13ba7b0b9889
1460c90c0360
1533d5363e60
hex1d2c6e2fa0

125299470240 has 1344 divisors, whose sum is σ = 549726186240. Its totient is φ = 26336378880.

The previous prime is 125299470209. The next prime is 125299470269. The reversal of 125299470240 is 42074992521.

125299470240 is a `hidden beast` number, since 1 + 2 + 52 + 99 + 470 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 636037822 + ... + 636038018.

It is an arithmetic number, because the mean of its divisors is an integer number (409022460).

Almost surely, 2125299470240 is an apocalyptic number.

125299470240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125299470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274863093120).

125299470240 is an abundant number, since it is smaller than the sum of its proper divisors (424426716000).

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

125299470240 is a wasteful number, since it uses less digits than its factorization.

125299470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 125299470240 in words is "one hundred twenty-five billion, two hundred ninety-nine million, four hundred seventy thousand, two hundred forty".