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12381938440 = 2351753343561
BaseRepresentation
bin10111000100000010…
…10110001100001000
31011221220210122101121
423202001112030020
5200324234012230
65404351525024
7615556511614
oct134201261410
934856718347
1012381938440
115284310683
122496829774
1312243210c1
14856640344
154c706777a
hex2e2056308

12381938440 has 64 divisors (see below), whose sum is σ = 30054803760. Its totient is φ = 4573470720.

The previous prime is 12381938431. The next prime is 12381938441. The reversal of 12381938440 is 4483918321.

It can be written as a sum of positive squares in 8 ways, for example, as 9833102244 + 2548836196 = 99162^2 + 50486^2 .

It is not an unprimeable number, because it can be changed into a prime (12381938441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135741 + ... + 207820.

Almost surely, 212381938440 is an apocalyptic number.

12381938440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12381938440 is an abundant number, since it is smaller than the sum of its proper divisors (17672865320).

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

12381938440 is a wasteful number, since it uses less digits than its factorization.

12381938440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343642 (or 343638 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 12381938440 in words is "twelve billion, three hundred eighty-one million, nine hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3604 4505 7208 9010 18020 36040 343561 687122 1374244 1717805 2748488 3435610 5840537 6871220 11681074 13742440 18208733 23362148 29202685 36417466 46724296 58405370 72834932 91043665 116810740 145669864 182087330 233621480 309548461 364174660 619096922 728349320 1238193844 1547742305 2476387688 3095484610 6190969220 12381938440