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12334423440 = 24351723131441
BaseRepresentation
bin10110111110011000…
…00101110110010000
31011211121101122001210
423133030011312100
5200230103022230
65355533300120
7614441604123
oct133714056620
934747348053
1012334423440
11525a507989
122482934640
131217525b11
148501d23ba
154c2ccdeb0
hex2df305d90

12334423440 has 160 divisors (see below), whose sum is σ = 42246510336. Its totient is φ = 2961080320.

The previous prime is 12334423429. The next prime is 12334423447. The reversal of 12334423440 is 4432443321.

It is a happy number.

12334423440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12334423398 and 12334423407.

It is not an unprimeable number, because it can be changed into a prime (12334423447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28120 + ... + 159560.

Almost surely, 212334423440 is an apocalyptic number.

12334423440 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 12334423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123255168).

12334423440 is an abundant number, since it is smaller than the sum of its proper divisors (29912086896).

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

12334423440 is a wasteful number, since it uses less digits than its factorization.

12334423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131497 (or 131491 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12334423440 its reverse (4432443321), we get a palindrome (16766866761).

The spelling of 12334423440 in words is "twelve billion, three hundred thirty-four million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 34 40 46 48 51 60 68 69 80 85 92 102 115 120 136 138 170 184 204 230 240 255 272 276 340 345 368 391 408 460 510 552 680 690 782 816 920 1020 1104 1173 1360 1380 1564 1840 1955 2040 2346 2760 3128 3910 4080 4692 5520 5865 6256 7820 9384 11730 15640 18768 23460 31280 46920 93840 131441 262882 394323 525764 657205 788646 1051528 1314410 1577292 1971615 2103056 2234497 2628820 3023143 3154584 3943230 4468994 5257640 6046286 6309168 6703491 7886460 8937988 9069429 10515280 11172485 12092572 13406982 15115715 15772920 17875976 18138858 22344970 24185144 26813964 30231430 31545840 33517455 35751952 36277716 44689940 45347145 48370288 51393431 53627928 60462860 67034910 72555432 89379880 90694290 102786862 107255856 120925720 134069820 145110864 154180293 178759760 181388580 205573724 241851440 256967155 268139640 308360586 362777160 411147448 513934310 536279280 616721172 725554320 770901465 822294896 1027868620 1233442344 1541802930 2055737240 2466884688 3083605860 4111474480 6167211720 12334423440