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12232433040 = 243561438297
BaseRepresentation
bin10110110010001110…
…00001110110010000
31011120111110222112120
423121013001312100
5200023000324130
65341451254240
7612062652042
oct133107016620
934514428476
1012232433040
115207986aa3
12245474a380
1311cc366379
14840843a92
154b8d84910
hex2d91c1d90

12232433040 has 80 divisors (see below), whose sum is σ = 37931286528. Its totient is φ = 3261058048.

The previous prime is 12232433039. The next prime is 12232433123. The reversal of 12232433040 is 4033423221.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12232433040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470172 + ... + 1478468.

Almost surely, 212232433040 is an apocalyptic number.

12232433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232433040 is an abundant number, since it is smaller than the sum of its proper divisors (25698853488).

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

12232433040 is a wasteful number, since it uses less digits than its factorization.

12232433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14450 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12232433040 its reverse (4033423221), we get a palindrome (16265856261).

The spelling of 12232433040 in words is "twelve billion, two hundred thirty-two million, four hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6143 8297 12286 16594 18429 24572 24891 30715 33188 36858 41485 49144 49782 61430 66376 73716 82970 92145 98288 99564 122860 124455 132752 147432 165940 184290 199128 245720 248910 294864 331880 368580 398256 491440 497820 663760 737160 995640 1474320 1991280 50968471 101936942 152905413 203873884 254842355 305810826 407747768 509684710 611621652 764527065 815495536 1019369420 1223243304 1529054130 2038738840 2446486608 3058108260 4077477680 6116216520 12232433040