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413424014124 = 2231114992089393
BaseRepresentation
bin1100000010000011111…
…11011101001100101100
31110112010020012221111010
412001001333131030230
523233143021422444
6513531355225220
741604014065302
oct6010177351454
91415106187433
10413424014124
1114a372094950
126815aa48210
132cca780bb74
141601cd84272
15ab4a1a42b9
hex6041fdd32c

413424014124 has 48 divisors (see below), whose sum is σ = 1053054576000. Its totient is φ = 125196368640.

The previous prime is 413424014119. The next prime is 413424014149. The reversal of 413424014124 is 421410424314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413424014091 and 413424014100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846829 + ... + 1242564.

It is an arithmetic number, because the mean of its divisors is an integer number (21938637000).

Almost surely, 2413424014124 is an apocalyptic number.

413424014124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413424014124 is an abundant number, since it is smaller than the sum of its proper divisors (639630561876).

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

413424014124 is a wasteful number, since it uses less digits than its factorization.

413424014124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090910 (or 2090908 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 413424014124 its reverse (421410424314), we get a palindrome (834834438438).

The spelling of 413424014124 in words is "four hundred thirteen billion, four hundred twenty-four million, fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1499 2998 4497 5996 8994 16489 17988 32978 49467 65956 98934 197868 2089393 4178786 6268179 8357572 12536358 22983323 25072716 45966646 68949969 91933292 137899938 275799876 3132000107 6264000214 9396000321 12528000428 18792000642 34452001177 37584001284 68904002354 103356003531 137808004708 206712007062 413424014124