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125063312040 = 23335115799363
BaseRepresentation
bin111010001111001011…
…0101011001010101000
3102221210212200111212000
41310132112223022220
54022112201441130
6133241524451000
712015120420042
oct1643626531250
9387725614760
10125063312040
1149047a85427
12202a3549a60
13ba411b25b4
1460a59a8a92
1533be766260
hex1d1e5ab2a8

125063312040 has 64 divisors (see below), whose sum is σ = 416877710400. Its totient is φ = 33350216256.

The previous prime is 125063312009. The next prime is 125063312047. The reversal of 125063312040 is 40213360521.

125063312040 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 633 + 1 + 20 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125063311995 and 125063312013.

It is not an unprimeable number, because it can be changed into a prime (125063312047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57898602 + ... + 57900761.

It is an arithmetic number, because the mean of its divisors is an integer number (6513714225).

Almost surely, 2125063312040 is an apocalyptic number.

125063312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125063312040 is an abundant number, since it is smaller than the sum of its proper divisors (291814398360).

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

125063312040 is a wasteful number, since it uses less digits than its factorization.

125063312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115799383 (or 115799373 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 125063312040 its reverse (40213360521), we get a palindrome (165276672561).

The spelling of 125063312040 in words is "one hundred twenty-five billion, sixty-three million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 115799363 231598726 347398089 463197452 578996815 694796178 926394904 1042194267 1157993630 1389592356 1736990445 2084388534 2315987260 2779184712 3126582801 3473980890 4168777068 4631974520 5210971335 6253165602 6947961780 8337554136 10421942670 12506331204 13895923560 15632914005 20843885340 25012662408 31265828010 41687770680 62531656020 125063312040