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12244275144 = 2333359157901
BaseRepresentation
bin10110110011101000…
…01100111111001000
31011121022202121212000
423121310030333020
5200034013301034
65342553151000
7612265423113
oct133164147710
934538677760
1012244275144
115213635162
1224586bb460
13120195152a
1484224757a
154b9e23599
hex2d9d0cfc8

12244275144 has 64 divisors (see below), whose sum is σ = 34106832000. Its totient is φ = 4070030400.

The previous prime is 12244275139. The next prime is 12244275217. The reversal of 12244275144 is 44157244221.

12244275144 is a `hidden beast` number, since 1 + 2 + 2 + 442 + 75 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12244275099 and 12244275108.

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, 1407 + ... + 156494.

It is an arithmetic number, because the mean of its divisors is an integer number (532919250).

Almost surely, 212244275144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12244275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053416000).

12244275144 is an abundant number, since it is smaller than the sum of its proper divisors (21862556856).

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

12244275144 is a wasteful number, since it uses less digits than its factorization.

12244275144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158275 (or 158265 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The spelling of 12244275144 in words is "twelve billion, two hundred forty-four million, two hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 359 718 1077 1436 2154 2872 3231 4308 6462 8616 9693 12924 19386 25848 38772 77544 157901 315802 473703 631604 947406 1263208 1421109 1894812 2842218 3789624 4263327 5684436 8526654 11368872 17053308 34106616 56686459 113372918 170059377 226745836 340118754 453491672 510178131 680237508 1020356262 1360475016 1530534393 2040712524 3061068786 4081425048 6122137572 12244275144