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125442053000 = 23531128140583
BaseRepresentation
bin111010011010011101…
…1011101001110001000
3102222210021100112202222
41310310323131032020
54023401131144000
6133343254313212
712030366600065
oct1646473351610
9388707315688
10125442053000
1149221850090
122038a358808
13baa17bc684
1460dddd7c6c
1533e2b2aa85
hex1d34edd388

125442053000 has 128 divisors (see below), whose sum is σ = 321366839040. Its totient is φ = 45451840000.

The previous prime is 125442052987. The next prime is 125442053053. The reversal of 125442053000 is 350244521.

It is a happy 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, 3070709 + ... + 3111291.

It is an arithmetic number, because the mean of its divisors is an integer number (2510678430).

Almost surely, 2125442053000 is an apocalyptic number.

125442053000 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 125442053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160683419520).

125442053000 is an abundant number, since it is smaller than the sum of its proper divisors (195924786040).

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

125442053000 is a wasteful number, since it uses less digits than its factorization.

125442053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40896 (or 40882 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 125442053000 its reverse (350244521), we get a palindrome (125792297521).

The spelling of 125442053000 in words is "one hundred twenty-five billion, four hundred forty-two million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 281 440 500 550 562 1000 1100 1124 1375 1405 2200 2248 2750 2810 3091 5500 5620 6182 7025 11000 11240 12364 14050 15455 24728 28100 30910 35125 40583 56200 61820 70250 77275 81166 123640 140500 154550 162332 202915 281000 309100 324664 386375 405830 446413 618200 772750 811660 892826 1014575 1545500 1623320 1785652 2029150 2232065 3091000 3571304 4058300 4464130 5072875 8116600 8928260 10145750 11160325 11403823 17856520 20291500 22320650 22807646 40583000 44641300 45615292 55801625 57019115 89282600 91230584 111603250 114038230 125442053 223206500 228076460 250884106 285095575 446413000 456152920 501768212 570191150 627210265 1003536424 1140382300 1254420530 1425477875 2280764600 2508841060 2850955750 3136051325 5017682120 5701911500 6272102650 11403823000 12544205300 15680256625 25088410600 31360513250 62721026500 125442053000