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115625541444 = 223729228120809
BaseRepresentation
bin110101110101111010…
…0011011111101000100
3102001110010212002110220
41223223310123331010
53343300114311234
6125041224344340
711232210612630
oct1535364337504
9361403762426
10115625541444
1145044670716
121a4aa9150b0
13ab98b27b5a
14584c399dc0
15301ae14a49
hex1aebd1bf44

115625541444 has 96 divisors (see below), whose sum is σ = 319122182400. Its totient is φ = 31881185280.

The previous prime is 115625541431. The next prime is 115625541481. The reversal of 115625541444 is 444145526511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 115625541396 and 115625541405.

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, 5546112 + ... + 5566920.

It is an arithmetic number, because the mean of its divisors is an integer number (3324189400).

Almost surely, 2115625541444 is an apocalyptic number.

115625541444 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 115625541444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159561091200).

115625541444 is an abundant number, since it is smaller than the sum of its proper divisors (203496640956).

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

115625541444 is a wasteful number, since it uses less digits than its factorization.

115625541444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23133 (or 23131 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The spelling of 115625541444 in words is "one hundred fifteen billion, six hundred twenty-five million, five hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2281 2436 4562 6843 9124 13686 15967 20809 27372 31934 41618 47901 62427 63868 66149 83236 95802 124854 132298 145663 191604 198447 249708 264596 291326 396894 436989 463043 582652 603461 793788 873978 926086 1206922 1389129 1747956 1810383 1852172 2413844 2778258 3620766 4224227 5556516 7241532 8448454 12672681 16896908 25345362 47465329 50690724 94930658 142395987 189861316 284791974 332257303 569583948 664514606 996771909 1329029212 1376494541 1993543818 2752989082 3987087636 4129483623 5505978164 8258967246 9635461787 16517934492 19270923574 28906385361 38541847148 57812770722 115625541444