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12340977480 = 2333513878987
BaseRepresentation
bin10110111111001010…
…00101111101001000
31011212001201121112000
423133211011331020
5200233242234410
65400325551000
7614551402116
oct133745057510
934761647460
1012340977480
115263184047
122484b75460
1312189ac050
1485101aab6
154c3675dc0
hex2df945f48

12340977480 has 128 divisors (see below), whose sum is σ = 44300995200. Its totient is φ = 3037775616.

The previous prime is 12340977421. The next prime is 12340977487. The reversal of 12340977480 is 8477904321.

12340977480 is a `hidden beast` number, since 123 + 40 + 9 + 7 + 7 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12340977487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425454 + ... + 453533.

It is an arithmetic number, because the mean of its divisors is an integer number (346101525).

Almost surely, 212340977480 is an apocalyptic number.

12340977480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340977480 is an abundant number, since it is smaller than the sum of its proper divisors (31960017720).

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

12340977480 is a wasteful number, since it uses less digits than its factorization.

12340977480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879020 (or 879010 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12340977480 in words is "twelve billion, three hundred forty million, nine hundred seventy-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 878987 1757974 2636961 3515948 4394935 5273922 7031896 7910883 8789870 10547844 11426831 13184805 15821766 17579740 21095688 22853662 23732649 26369610 31643532 34280493 35159480 39554415 45707324 47465298 52739220 57134155 63287064 68560986 79108830 91414648 94930596 102841479 105478440 114268310 118663245 137121972 158217660 171402465 189861192 205682958 228536620 237326490 274243944 308524437 316435320 342804930 411365916 457073240 474652980 514207395 617048874 685609860 822731832 949305960 1028414790 1234097748 1371219720 1542622185 2056829580 2468195496 3085244370 4113659160 6170488740 12340977480