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1244411324232 = 2332310730616883
BaseRepresentation
bin10010000110111100101…
…100011110011101001000
311101222001011110010200220
4102012330230132131020
5130342023244333412
62351401421230040
7155622446505306
oct22067454363510
94358034403626
101244411324232
1143a82a82933a
12181212a02320
139046956679b
144433091b276
1522583ae668c
hex121bcb1e748

1244411324232 has 128 divisors (see below), whose sum is σ = 3278176220160. Its totient is φ = 392875211520.

The previous prime is 1244411324197. The next prime is 1244411324239. The reversal of 1244411324232 is 2324231144421.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1244411324193 and 1244411324202.

It is not an unprimeable number, because it can be changed into a prime (1244411324239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180791463 + ... + 180798345.

It is an arithmetic number, because the mean of its divisors is an integer number (25610751720).

Almost surely, 21244411324232 is an apocalyptic number.

1244411324232 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 1244411324232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639088110080).

1244411324232 is an abundant number, since it is smaller than the sum of its proper divisors (2033764895928).

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

1244411324232 is a wasteful number, since it uses less digits than its factorization.

1244411324232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10083 (or 10079 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 1244411324232 its reverse (2324231144421), we get a palindrome (3568642468653).

The spelling of 1244411324232 in words is "one trillion, two hundred forty-four billion, four hundred eleven million, three hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 107 138 184 214 276 321 428 552 642 856 1284 2461 2568 3061 4922 6122 6883 7383 9183 9844 12244 13766 14766 18366 19688 20649 24488 27532 29532 36732 41298 55064 59064 70403 73464 82596 140806 158309 165192 211209 281612 316618 327527 422418 474927 563224 633236 655054 736481 844836 949854 982581 1266472 1310108 1472962 1689672 1899708 1965162 2209443 2620216 2945924 3799416 3930324 4418886 5891848 7533121 7860648 8837772 15066242 16939063 17675544 21068863 22599363 30132484 33878126 42137726 45198726 50817189 60264968 63206589 67756252 84275452 90397452 101634378 126413178 135512504 168550904 180794904 203268756 252826356 406537512 484583849 505652712 969167698 1453751547 1938335396 2254368341 2907503094 3876670792 4508736682 5815006188 6763105023 9017473364 11630012376 13526210046 18034946728 27052420092 51850471843 54104840184 103700943686 155551415529 207401887372 311102831058 414803774744 622205662116 1244411324232