Search a number
-
+
114762473232 = 24311226997321
BaseRepresentation
bin110101011100001100…
…0000101111100010000
3101222012222211200110120
41222320120011330100
53340013143120412
6124415434030240
711201630633031
oct1527030057420
9358188750416
10114762473232
1144741473800
121a2a9878380
13aa8c0925c4
1457a98d4a88
152eba280b8c
hex1ab8605f10

114762473232 has 120 divisors (see below), whose sum is σ = 326036944800. Its totient is φ = 34758873600.

The previous prime is 114762473213. The next prime is 114762473237. The reversal of 114762473232 is 232374267411.

It is not an unprimeable number, because it can be changed into a prime (114762473237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15672132 + ... + 15679452.

It is an arithmetic number, because the mean of its divisors is an integer number (2716974540).

Almost surely, 2114762473232 is an apocalyptic number.

114762473232 is a gapful number since it is divisible by the number (12) 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 114762473232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163018472400).

114762473232 is an abundant number, since it is smaller than the sum of its proper divisors (211274471568).

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

114762473232 is a wasteful number, since it uses less digits than its factorization.

114762473232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10053 (or 10036 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The spelling of 114762473232 in words is "one hundred fourteen billion, seven hundred sixty-two million, four hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2699 2904 5398 5808 7321 8097 10796 14642 16194 21592 21963 29284 29689 32388 43184 43926 58568 59378 64776 80531 87852 89067 117136 118756 129552 161062 175704 178134 237512 241593 322124 326579 351408 356268 475024 483186 644248 653158 712536 885841 966372 979737 1288496 1306316 1425072 1771682 1932744 1959474 2612632 2657523 3543364 3865488 3918948 5225264 5315046 7086728 7837896 10630092 14173456 15675792 19759379 21260184 39518758 42520368 59278137 79037516 118556274 158075032 217353169 237112548 316150064 434706338 474225096 652059507 869412676 948450192 1304119014 1738825352 2390884859 2608238028 3477650704 4781769718 5216476056 7172654577 9563539436 10432952112 14345309154 19127078872 28690618308 38254157744 57381236616 114762473232