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125730660240 = 2433558208639
BaseRepresentation
bin111010100011000100…
…0011001111110010000
3110000112101102022111000
41311012020121332100
54024444022111430
6133432044222000
712040502656443
oct1650610317620
9400471368430
10125730660240
114935a752a69
122044ab3a900
13bb1952b9a3
14612a48365a
15340d138e60
hex1d46219f90

125730660240 has 80 divisors (see below), whose sum is σ = 433072281600. Its totient is φ = 33528175488.

The previous prime is 125730660239. The next prime is 125730660241. The reversal of 125730660240 is 42066037521.

125730660240 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 0 + 6 + 602 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (125730660239) and next prime (125730660241).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 125730660195 and 125730660204.

It is not an unprimeable number, because it can be changed into a prime (125730660241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29102160 + ... + 29106479.

It is an arithmetic number, because the mean of its divisors is an integer number (5413403520).

Almost surely, 2125730660240 is an apocalyptic number.

125730660240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125730660240 is an abundant number, since it is smaller than the sum of its proper divisors (307341621360).

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

125730660240 is a wasteful number, since it uses less digits than its factorization.

125730660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58208661 (or 58208649 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 125730660240 its reverse (42066037521), we get a palindrome (167796697761).

The spelling of 125730660240 in words is "one hundred twenty-five billion, seven hundred thirty million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 58208639 116417278 174625917 232834556 291043195 349251834 465669112 523877751 582086390 698503668 873129585 931338224 1047755502 1164172780 1397007336 1571633253 1746259170 2095511004 2328345560 2619388755 2794014672 3143266506 3492518340 4191022008 4656691120 5238777510 6286533012 6985036680 7858166265 8382044016 10477555020 12573066024 13970073360 15716332530 20955110040 25146132048 31432665060 41910220080 62865330120 125730660240