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12408269040 = 243355744569
BaseRepresentation
bin10111000111001011…
…10010100011110000
31012000202100101012000
423203211302203300
5200403004102130
65411132134000
7616326355326
oct134345624360
935022311160
1012408269040
115298165202
1224a3607300
13122990cb3b
14859d35d16
154c9519260
hex2e39728f0

12408269040 has 80 divisors (see below), whose sum is σ = 42739600800. Its totient is φ = 3308871168.

The previous prime is 12408268973. The next prime is 12408269053. The reversal of 12408269040 is 4096280421.

12408269040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12408268986 and 12408269004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870125 + ... + 2874444.

It is an arithmetic number, because the mean of its divisors is an integer number (534245010).

Almost surely, 212408269040 is an apocalyptic number.

12408269040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12408269040 is an abundant number, since it is smaller than the sum of its proper divisors (30331331760).

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

12408269040 is a wasteful number, since it uses less digits than its factorization.

12408269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744591 (or 5744579 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12408269040 in words is "twelve billion, four hundred eight million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5744569 11489138 17233707 22978276 28722845 34467414 45956552 51701121 57445690 68934828 86168535 91913104 103402242 114891380 137869656 155103363 172337070 206804484 229782760 258505605 275739312 310206726 344674140 413608968 459565520 517011210 620413452 689348280 775516815 827217936 1034022420 1240826904 1378696560 1551033630 2068044840 2481653808 3102067260 4136089680 6204134520 12408269040