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125350244040 = 23357233640457
BaseRepresentation
bin111010010111101110…
…1001110111011001000
3102222112212121011120010
41310233131032323020
54023204130302130
6133330214431520
712025203331350
oct1645735167310
9388485534503
10125350244040
1149184a4370a
12203636625a0
13ba88786248
1460d1b39b60
1533d9a430b0
hex1d2f74eec8

125350244040 has 128 divisors (see below), whose sum is σ = 431617455360. Its totient is φ = 28528472064.

The previous prime is 125350244009. The next prime is 125350244093. The reversal of 125350244040 is 40442053521.

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 = 125350243989 and 125350244007.

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, 124509 + ... + 515948.

It is an arithmetic number, because the mean of its divisors is an integer number (3372011370).

Almost surely, 2125350244040 is an apocalyptic number.

125350244040 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 125350244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215808727680).

125350244040 is an abundant number, since it is smaller than the sum of its proper divisors (306267211320).

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

125350244040 is a wasteful number, since it uses less digits than its factorization.

125350244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640711 (or 640707 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 125350244040 its reverse (40442053521), we get a palindrome (165792297561).

The spelling of 125350244040 in words is "one hundred twenty-five billion, three hundred fifty million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 233 280 420 466 699 840 932 1165 1398 1631 1864 2330 2796 3262 3495 4660 4893 5592 6524 6990 8155 9320 9786 13048 13980 16310 19572 24465 27960 32620 39144 48930 65240 97860 195720 640457 1280914 1921371 2561828 3202285 3842742 4483199 5123656 6404570 7685484 8966398 9606855 12809140 13449597 15370968 17932796 19213710 22415995 25618280 26899194 35865592 38427420 44831990 53798388 67247985 76854840 89663980 107596776 134495970 149226481 179327960 268991940 298452962 447679443 537983880 596905924 746132405 895358886 1044585367 1193811848 1492264810 1790717772 2089170734 2238397215 2984529620 3133756101 3581435544 4178341468 4476794430 5222926835 5969059240 6267512202 8356682936 8953588860 10445853670 12535024404 15668780505 17907177720 20891707340 25070048808 31337561010 41783414680 62675122020 125350244040