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13413102024 = 2337211405699
BaseRepresentation
bin11000111110111101…
…11011000111001000
31021121210010011220110
430133132323013020
5204432223231044
610054545154320
7653250325500
oct143736730710
937553104813
1013413102024
11576338a093
12272402b9a0
131359b4ca7a
14913580a00
155378526b9
hex31f7bb1c8

13413102024 has 48 divisors (see below), whose sum is σ = 39007494000. Its totient is φ = 3832314528.

The previous prime is 13413102019. The next prime is 13413102061. The reversal of 13413102024 is 42020131431.

It is a super-4 number, since 4×134131020244 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5701674 + ... + 5704025.

It is an arithmetic number, because the mean of its divisors is an integer number (812656125).

Almost surely, 213413102024 is an apocalyptic number.

13413102024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13413102024 is an abundant number, since it is smaller than the sum of its proper divisors (25594391976).

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

13413102024 is a wasteful number, since it uses less digits than its factorization.

13413102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405722 (or 11405711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13413102024 its reverse (42020131431), we get a palindrome (55433233455).

The spelling of 13413102024 in words is "thirteen billion, four hundred thirteen million, one hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 11405699 22811398 34217097 45622796 68434194 79839893 91245592 136868388 159679786 239519679 273736776 319359572 479039358 558879251 638719144 958078716 1117758502 1676637753 1916157432 2235517004 3353275506 4471034008 6706551012 13413102024