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12402421434 = 2341317346417
BaseRepresentation
bin10111000110011110…
…11110111010111010
31012000100100021210000
423203033132322322
5200400004441214
65410402533430
7616225562034
oct134317367272
935010307700
1012402421434
115294930877
1224a1667276
131228643310
14859252c54
154c8c61809
hex2e33deeba

12402421434 has 80 divisors (see below), whose sum is σ = 31688932968. Its totient is φ = 3591641088.

The previous prime is 12402421397. The next prime is 12402421453. The reversal of 12402421434 is 43412420421.

12402421434 is a `hidden beast` number, since 12 + 402 + 4 + 214 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11615450625 + 786970809 = 107775^2 + 28053^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12402421398 and 12402421407.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137407 + ... + 209010.

Almost surely, 212402421434 is an apocalyptic number.

12402421434 is an abundant number, since it is smaller than the sum of its proper divisors (19286511534).

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

12402421434 is a wasteful number, since it uses less digits than its factorization.

12402421434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346461 (or 346452 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12402421434 its reverse (43412420421), we get a palindrome (55814841855).

The spelling of 12402421434 in words is "twelve billion, four hundred two million, four hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 918 1053 1326 1377 1989 2106 2754 3978 5967 11934 17901 35802 346417 692834 1039251 2078502 3117753 4503421 5889089 6235506 9006842 9353259 11778178 13510263 17667267 18706518 27020526 28059777 35334534 40530789 53001801 56119554 76558157 81061578 106003602 121592367 153116314 159005403 229674471 243184734 318010806 364777101 459348942 477016209 689023413 729554202 954032418 1378046826 2067070239 4134140478 6201210717 12402421434