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12388080040 = 2357216737847
BaseRepresentation
bin10111000100110001…
…10001100110101000
31011222100100200002021
423202120301212220
5200332322030130
65405131314224
7615662641300
oct134230614650
934870320067
1012388080040
115287825986
1224988ab974
13122569169b
1485739c600
154c787c37a
hex2e26319a8

12388080040 has 96 divisors (see below), whose sum is σ = 32618920320. Its totient is φ = 4221796992.

The previous prime is 12388079993. The next prime is 12388080041. The reversal of 12388080040 is 4008088321.

It is a junction number, because it is equal to n+sod(n) for n = 12388079978 and 12388080005.

It is not an unprimeable number, because it can be changed into a prime (12388080041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308397 + ... + 346243.

It is an arithmetic number, because the mean of its divisors is an integer number (339780420).

Almost surely, 212388080040 is an apocalyptic number.

12388080040 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 12388080040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309460160).

12388080040 is an abundant number, since it is smaller than the sum of its proper divisors (20230840280).

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

12388080040 is a wasteful number, since it uses less digits than its factorization.

12388080040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38039 (or 38028 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 12388080040 in words is "twelve billion, three hundred eighty-eight million, eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 167 196 245 280 334 392 490 668 835 980 1169 1336 1670 1960 2338 3340 4676 5845 6680 8183 9352 11690 16366 23380 32732 37847 40915 46760 65464 75694 81830 151388 163660 189235 264929 302776 327320 378470 529858 756940 1059716 1324645 1513880 1854503 2119432 2649290 3709006 5298580 6320449 7418012 9272515 10597160 12640898 14836024 18545030 25281796 31602245 37090060 44243143 50563592 63204490 74180120 88486286 126408980 176972572 221215715 252817960 309702001 353945144 442431430 619404002 884862860 1238808004 1548510005 1769725720 2477616008 3097020010 6194040020 12388080040