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12440134152 = 233210713911617
BaseRepresentation
bin10111001010111110…
…10110001000001000
31012002222022021220100
423211133112020020
5200434133243102
65414231125400
7620164252455
oct134537261010
935088267810
1012440134152
115304149a06
1224b2213860
1312333b8a34
1486026c82c
154cc210a1c
hex2e57d6208

12440134152 has 96 divisors (see below), whose sum is σ = 34254511200. Its totient is φ = 4078052352.

The previous prime is 12440134127. The next prime is 12440134153. The reversal of 12440134152 is 25143104421.

12440134152 is a `hidden beast` number, since 1 + 244 + 0 + 1 + 3 + 415 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12440134153) 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, 1065048 + ... + 1076664.

It is an arithmetic number, because the mean of its divisors is an integer number (356817825).

Almost surely, 212440134152 is an apocalyptic number.

12440134152 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 12440134152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127255600).

12440134152 is an abundant number, since it is smaller than the sum of its proper divisors (21814377048).

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

12440134152 is a wasteful number, since it uses less digits than its factorization.

12440134152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12440134152 its reverse (25143104421), we get a palindrome (37583238573).

The spelling of 12440134152 in words is "twelve billion, four hundred forty million, one hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 139 214 278 321 417 428 556 642 834 856 963 1112 1251 1284 1668 1926 2502 2568 3336 3852 5004 7704 10008 11617 14873 23234 29746 34851 44619 46468 59492 69702 89238 92936 104553 118984 133857 139404 178476 209106 267714 278808 356952 418212 535428 836424 1070856 1243019 1614763 2486038 3229526 3729057 4844289 4972076 6459052 7458114 9688578 9944152 11187171 12918104 14532867 14916228 19377156 22374342 29065734 29832456 38754312 44748684 58131468 89497368 116262936 172779641 345559282 518338923 691118564 1036677846 1382237128 1555016769 2073355692 3110033538 4146711384 6220067076 12440134152