Search a number
-
+
125655744120 = 233517317194309
BaseRepresentation
bin111010100000110101…
…0100111111001111000
3110000100011110011212220
41311001222213321320
54024320332302440
6133420410404040
712035603126214
oct1650152477170
9400304404786
10125655744120
1149321434415
1220429a30620
13bb06b5b61a
146120541944
15340678b8d0
hex1d41aa7e78

125655744120 has 128 divisors (see below), whose sum is σ = 400402958400. Its totient is φ = 31437479936.

The previous prime is 125655744061. The next prime is 125655744139. The reversal of 125655744120 is 21447556521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549526 + ... + 743834.

Almost surely, 2125655744120 is an apocalyptic number.

125655744120 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 125655744120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200201479200).

125655744120 is an abundant number, since it is smaller than the sum of its proper divisors (274747214280).

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

125655744120 is a wasteful number, since it uses less digits than its factorization.

125655744120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194657 (or 194653 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 125655744120 in words is "one hundred twenty-five billion, six hundred fifty-five million, seven hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 317 340 408 510 634 680 951 1020 1268 1585 1902 2040 2536 3170 3804 4755 5389 6340 7608 9510 10778 12680 16167 19020 21556 26945 32334 38040 43112 53890 64668 80835 107780 129336 161670 194309 215560 323340 388618 582927 646680 777236 971545 1165854 1554472 1943090 2331708 2914635 3303253 3886180 4663416 5829270 6606506 7772360 9909759 11658540 13213012 16516265 19819518 23317080 26426024 33032530 39639036 49548795 61595953 66065060 79278072 99097590 123191906 132130120 184787859 198195180 246383812 307979765 369575718 396390360 492767624 615959530 739151436 923939295 1047131201 1231919060 1478302872 1847878590 2094262402 2463838120 3141393603 3695757180 4188524804 5235656005 6282787206 7391514360 8377049608 10471312010 12565574412 15706968015 20942624020 25131148824 31413936030 41885248040 62827872060 125655744120