Search a number
-
+
12402412014456 = 233357418574141
BaseRepresentation
bin1011010001111010100101…
…0111001100101101111000
31121220122210102021111121000
42310132221113030231320
53111200114433430311
642213331152045000
72420021221466442
oct264365127145570
947818712244530
1012402412014456
113a51919285382
121483806833760
136bc7089622c9
1430c3cc24b492
15167936465056
hexb47a95ccb78

12402412014456 has 32 divisors (see below), whose sum is σ = 34451144485200. Its totient is φ = 4134137338080.

The previous prime is 12402412014449. The next prime is 12402412014497. The reversal of 12402412014456 is 65441021420421.

12402412014456 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 2 + 4 + 1 + 201 + 445 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12402412014456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28709286855 + ... + 28709287286.

Almost surely, 212402412014456 is an apocalyptic number.

It is an amenable number.

12402412014456 is an abundant number, since it is smaller than the sum of its proper divisors (22048732470744).

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

12402412014456 is a wasteful number, since it uses less digits than its factorization.

12402412014456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57418574156 (or 57418574146 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 12402412014456 its reverse (65441021420421), we get a palindrome (77843433434877).

The spelling of 12402412014456 in words is "twelve trillion, four hundred two billion, four hundred twelve million, fourteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 57418574141 114837148282 172255722423 229674296564 344511444846 459348593128 516767167269 689022889692 1033534334538 1378045779384 1550301501807 2067068669076 3100603003614 4134137338152 6201206007228 12402412014456