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413414144224242 = 23747720920626589
BaseRepresentation
bin101110111111111110111101…
…1001101100010101111110010
32000012210000011112012001110020
41131333331323031202233302
5413141334131410133432
64023131500323344310
7153036120613346310
oct13577757315425762
92005700145161406
10413414144224242
1110a7a9a54803807
123a44a520522096
131498aa2bcac355
1474134cc12d0b0
1532bdcb5cd022c
hex177ff7b362bf2

413414144224242 has 32 divisors (see below), whose sum is σ = 944948641334400. Its totient is φ = 118118073675648.

The previous prime is 413414144224231. The next prime is 413414144224247. The reversal of 413414144224242 is 242422441414314.

It is a super-2 number, since 2×4134141442242422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 413414144224194 and 413414144224203.

It is not an unprimeable number, because it can be changed into a prime (413414144224247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9729484 + ... + 30356072.

It is an arithmetic number, because the mean of its divisors is an integer number (29529645041700).

Almost surely, 2413414144224242 is an apocalyptic number.

413414144224242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413414144224242 is an abundant number, since it is smaller than the sum of its proper divisors (531534497110158).

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

413414144224242 is a wasteful number, since it uses less digits than its factorization.

413414144224242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21103810.

The product of its digits is 786432, while the sum is 42.

Adding to 413414144224242 its reverse (242422441414314), we get a palindrome (655836585638556).

The spelling of 413414144224242 in words is "four hundred thirteen trillion, four hundred fourteen billion, one hundred forty-four million, two hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 477209 954418 1431627 2863254 3340463 6680926 10021389 20042778 20626589 41253178 61879767 123759534 144386123 288772246 433158369 866316738 9843193910101 19686387820202 29529581730303 59059163460606 68902357370707 137804714741414 206707072112121 413414144224242