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12244312340 = 2251354187049
BaseRepresentation
bin10110110011101000…
…10110000100010100
31011121022211111212122
423121310112010110
5200034020443330
65342554035112
7612265636421
oct133164260424
934538744778
1012244312340
1152136600a7
122458718a98
131201965440
14842256d48
154b9e2e5e5
hex2d9d16114

12244312340 has 48 divisors (see below), whose sum is σ = 27742486800. Its totient is φ = 4512568320.

The previous prime is 12244312321. The next prime is 12244312363. The reversal of 12244312340 is 4321344221.

It can be written as a sum of positive squares in 8 ways, for example, as 725871364 + 11518440976 = 26942^2 + 107324^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 97136 + ... + 184184.

It is an arithmetic number, because the mean of its divisors is an integer number (577968475).

Almost surely, 212244312340 is an apocalyptic number.

12244312340 is a gapful number since it is divisible by the number (10) 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 12244312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871243400).

12244312340 is an abundant number, since it is smaller than the sum of its proper divisors (15498174460).

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

12244312340 is a wasteful number, since it uses less digits than its factorization.

12244312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87612 (or 87610 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12244312340 its reverse (4321344221), we get a palindrome (16565656561).

The spelling of 12244312340 in words is "twelve billion, two hundred forty-four million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 541 1082 2164 2705 5410 7033 10820 14066 28132 35165 70330 87049 140660 174098 348196 435245 870490 1131637 1740980 2263274 4526548 5658185 11316370 22632740 47093509 94187018 188374036 235467545 470935090 612215617 941870180 1224431234 2448862468 3061078085 6122156170 12244312340