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10144422312 = 2333711423899
BaseRepresentation
bin10010111001010011…
…11001100110101000
3222011222112001021220
421130221321212220
5131233433003222
64354342102040
7506250111153
oct113451714650
928158461256
1010144422312
1143362976a2
121b7141a920
13c588b566b
146c33d8c9a
153e58d9b5c
hex25ca799a8

10144422312 has 32 divisors (see below), whose sum is σ = 26046492000. Its totient is φ = 3290082624.

The previous prime is 10144422289. The next prime is 10144422313. The reversal of 10144422312 is 21322444101.

10144422312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10144422313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5711062 + ... + 5712837.

It is an arithmetic number, because the mean of its divisors is an integer number (813952875).

Almost surely, 210144422312 is an apocalyptic number.

10144422312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10144422312 is an abundant number, since it is smaller than the sum of its proper divisors (15902069688).

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

10144422312 is a wasteful number, since it uses less digits than its factorization.

10144422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423945 (or 11423941 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10144422312 its reverse (21322444101), we get a palindrome (31466866413).

The spelling of 10144422312 in words is "ten billion, one hundred forty-four million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 11423899 22847798 34271697 45695596 68543394 91391192 137086788 274173576 422684263 845368526 1268052789 1690737052 2536105578 3381474104 5072211156 10144422312