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125740201244 = 2273318773371
BaseRepresentation
bin111010100011010110…
…0110011010100011100
3110000120001101001021112
41311012230303110130
54030003442414434
6133433024521152
712040650035000
oct1650654632434
9400501331245
10125740201244
114936507a299
12204521801b8
13bb1b4bc658
14612b848700
15340ddc0dce
hex1d46b3351c

125740201244 has 96 divisors (see below), whose sum is σ = 265271193600. Its totient is φ = 52075396800.

The previous prime is 125740201219. The next prime is 125740201253. The reversal of 125740201244 is 442102047521.

It is a self number, because there is not a number n which added to its sum of digits gives 125740201244.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37298879 + ... + 37302249.

It is an arithmetic number, because the mean of its divisors is an integer number (2763241600).

Almost surely, 2125740201244 is an apocalyptic number.

125740201244 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 125740201244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132635596800).

125740201244 is an abundant number, since it is smaller than the sum of its proper divisors (139530992356).

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

125740201244 is a wasteful number, since it uses less digits than its factorization.

125740201244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

Adding to 125740201244 its reverse (442102047521), we get a palindrome (567842248765).

The spelling of 125740201244 in words is "one hundred twenty-five billion, seven hundred forty million, two hundred one thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 343 434 686 868 877 1372 1519 1754 3038 3371 3508 6076 6139 6742 10633 12278 13484 21266 23597 24556 27187 42532 42973 47194 54374 85946 94388 104501 108748 165179 171892 190309 209002 300811 330358 380618 418004 601622 660716 731507 761236 1156253 1203244 1332163 1463014 2312506 2664326 2926028 2956367 4625012 5120549 5328652 5912734 9325141 10241098 11825468 18650282 20482196 20694569 35843843 37300564 41389138 71687686 82778276 91647377 143375372 144861983 183294754 289723966 366589508 579447932 641531639 1014033881 1283063278 2028067762 2566126556 4056135524 4490721473 8981442946 17962885892 31435050311 62870100622 125740201244