Search a number
-
+
12424421034312 = 23371729150009913
BaseRepresentation
bin1011010011001100100100…
…1100111100100101001000
31121222202121021010112222120
42310303021030330211020
53112030203241044222
642231411125451240
72421430510203210
oct264631114744510
947882537115876
1012424421034312
113a60192851791
121487b29570b20
136c1805621991
1430d4b9299240
151682c377615c
hexb4cc933c948

12424421034312 has 128 divisors (see below), whose sum is σ = 38882569708800. Its totient is φ = 3225813147648.

The previous prime is 12424421034247. The next prime is 12424421034343. The reversal of 12424421034312 is 21343012442421.

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, 74922133 + ... + 75087780.

It is an arithmetic number, because the mean of its divisors is an integer number (303770075850).

Almost surely, 212424421034312 is an apocalyptic number.

12424421034312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12424421034312 is an abundant number, since it is smaller than the sum of its proper divisors (26458148674488).

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

12424421034312 is a wasteful number, since it uses less digits than its factorization.

12424421034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150009975 (or 150009971 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12424421034312 its reverse (21343012442421), we get a palindrome (33767433476733).

The spelling of 12424421034312 in words is "twelve trillion, four hundred twenty-four billion, four hundred twenty-one million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 29 34 42 51 56 58 68 84 87 102 116 119 136 168 174 203 204 232 238 348 357 406 408 476 493 609 696 714 812 952 986 1218 1428 1479 1624 1972 2436 2856 2958 3451 3944 4872 5916 6902 10353 11832 13804 20706 27608 41412 82824 150009913 300019826 450029739 600039652 900059478 1050069391 1200079304 1800118956 2100138782 2550168521 3150208173 3600237912 4200277564 4350287477 5100337042 6300416346 7650505563 8400555128 8700574954 10200674084 12600832692 13050862431 15301011126 17401149908 17851179647 20401348168 25201665384 26101724862 30452012339 30602022252 34802299816 35702359294 52203449724 53553538941 60904024678 61204044504 71404718588 73954887109 91356037017 104406899448 107107077882 121808049356 142809437176 147909774218 182712074034 214214155764 221864661327 243616098712 295819548436 365424148068 428428311528 443729322654 517684209763 591639096872 730848296136 887458645308 1035368419526 1553052629289 1774917290616 2070736839052 3106105258578 4141473678104 6212210517156 12424421034312