Search a number
-
+
305894865144 = 233112275104373
BaseRepresentation
bin1000111001110001100…
…00010011100011111000
31002020120100011012111210
410130320300103203320
520002433041141034
6352305352323120
731046234311161
oct4347060234370
91066510135453
10305894865144
11108802749780
124b34b6a34a0
1322acc1a68ab
1410b3bdc4768
157e54e7a8e9
hex4738c138f8

305894865144 has 64 divisors (see below), whose sum is σ = 837934035840. Its totient is φ = 92287045760.

The previous prime is 305894865127. The next prime is 305894865169. The reversal of 305894865144 is 441568498503.

It is a super-2 number, since 2×3058948651442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492259 + ... + 2612114.

It is an arithmetic number, because the mean of its divisors is an integer number (13092719310).

Almost surely, 2305894865144 is an apocalyptic number.

It is an amenable number.

305894865144 is an abundant number, since it is smaller than the sum of its proper divisors (532039170696).

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

305894865144 is a wasteful number, since it uses less digits than its factorization.

305894865144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104620 (or 5104616 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 305894865144 in words is "three hundred five billion, eight hundred ninety-four million, eight hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 454 681 908 1362 1816 2497 2724 4994 5448 7491 9988 14982 19976 29964 59928 5104373 10208746 15313119 20417492 30626238 40834984 56148103 61252476 112296206 122504952 168444309 224592412 336888618 449184824 673777236 1158692671 1347554472 2317385342 3476078013 4634770684 6952156026 9269541368 12745619381 13904312052 25491238762 27808624104 38236858143 50982477524 76473716286 101964955048 152947432572 305894865144