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125440241444 = 22717417190529
BaseRepresentation
bin111010011010011010…
…0100010111100100100
3102222210010221111210022
41310310310202330210
54023400200211234
6133343151414312
712030345313430
oct1646464427444
9388703844708
10125440241444
1149220823031
1220389824398
13baa1306c4b
1460dda859c0
1533e28bde2e
hex1d34d22f24

125440241444 has 96 divisors (see below), whose sum is σ = 275952821760. Its totient is φ = 48667852800.

The previous prime is 125440241317. The next prime is 125440241447. The reversal of 125440241444 is 444142044521.

It is not an unprimeable number, because it can be changed into a prime (125440241447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340372 + ... + 1430900.

It is an arithmetic number, because the mean of its divisors is an integer number (2874508560).

Almost surely, 2125440241444 is an apocalyptic number.

125440241444 is a gapful number since it is divisible by the number (14) 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 125440241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137976410880).

125440241444 is an abundant number, since it is smaller than the sum of its proper divisors (150512580316).

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

125440241444 is a wasteful number, since it uses less digits than its factorization.

125440241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90669 (or 90667 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 125440241444 its reverse (444142044521), we get a palindrome (569582285965).

The spelling of 125440241444 in words is "one hundred twenty-five billion, four hundred forty million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 41 68 71 82 119 142 164 238 284 287 476 497 574 697 994 1148 1207 1394 1988 2414 2788 2911 4828 4879 5822 8449 9758 11644 16898 19516 20377 33796 40754 49487 81508 90529 98974 181058 197948 346409 362116 633703 692818 1267406 1385636 1538993 2534812 3077986 3711689 6155972 6427559 7423378 10772951 12855118 14846756 21545902 25710236 25981823 43091804 44992913 51963646 63098713 89985826 103927292 109268503 126197426 179971652 218537006 252394852 263529919 437074012 441690991 527059838 764879521 883381982 1054119676 1529759042 1766763964 1844709433 3059518084 3689418866 4480008623 7378837732 8960017246 17920034492 31360060361 62720120722 125440241444