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12423043440 = 2433528320323
BaseRepresentation
bin10111001000111100…
…01001100101110000
31012001210010222212000
423210132021211300
5200420244342230
65412420534000
7616566061353
oct134436114560
935053128760
1012423043440
1152a5536455
1224a8551300
13122c9b38a2
1485bca029a
154ca986b60
hex2e4789970

12423043440 has 160 divisors (see below), whose sum is σ = 42943799040. Its totient is φ = 3300943104.

The previous prime is 12423043433. The next prime is 12423043469. The reversal of 12423043440 is 4434032421.

It is a happy number.

12423043440 is a `hidden beast` number, since 12 + 4 + 2 + 304 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601119 + ... + 621441.

It is an arithmetic number, because the mean of its divisors is an integer number (268398744).

Almost surely, 212423043440 is an apocalyptic number.

12423043440 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 12423043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21471899520).

12423043440 is an abundant number, since it is smaller than the sum of its proper divisors (30520755600).

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

12423043440 is a wasteful number, since it uses less digits than its factorization.

12423043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20628 (or 20616 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12423043440 its reverse (4434032421), we get a palindrome (16857075861).

The spelling of 12423043440 in words is "twelve billion, four hundred twenty-three million, forty-three thousand, four hundred 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 90 108 120 135 144 180 216 240 270 283 360 432 540 566 720 849 1080 1132 1415 1698 2160 2264 2547 2830 3396 4245 4528 5094 5660 6792 7641 8490 10188 11320 12735 13584 15282 16980 20323 20376 22640 25470 30564 33960 38205 40646 40752 50940 60969 61128 67920 76410 81292 101615 101880 121938 122256 152820 162584 182907 203230 203760 243876 304845 305640 325168 365814 406460 487752 548721 609690 611280 731628 812920 914535 975504 1097442 1219380 1463256 1625840 1829070 2194884 2438760 2743605 2926512 3658140 4389768 4877520 5487210 5751409 7316280 8779536 10974420 11502818 14632560 17254227 21948840 23005636 28757045 34508454 43897680 46011272 51762681 57514090 69016908 86271135 92022544 103525362 115028180 138033816 155288043 172542270 207050724 230056360 258813405 276067632 310576086 345084540 414101448 460112720 517626810 621152172 690169080 776440215 828202896 1035253620 1242304344 1380338160 1552880430 2070507240 2484608688 3105760860 4141014480 6211521720 12423043440