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413311241420 = 225711379708137
BaseRepresentation
bin1100000001110110100…
…01010000110011001100
31110111211101000111102022
412000323101100303030
523232430134211140
6513512250145312
741601144405020
oct6007321206314
91414741014368
10413311241420
1114a31446a070
1268129122238
132cc8a34575c
141600bdca380
15ab4032a0b5
hex603b450ccc

413311241420 has 96 divisors (see below), whose sum is σ = 1084980718080. Its totient is φ = 128484195840.

The previous prime is 413311241419. The next prime is 413311241429. The reversal of 413311241420 is 24142113314.

It is a self number, because there is not a number n which added to its sum of digits gives 413311241420.

It is not an unprimeable number, because it can be changed into a prime (413311241429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229592 + ... + 937728.

It is an arithmetic number, because the mean of its divisors is an integer number (11301882480).

Almost surely, 2413311241420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413311241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542490359040).

413311241420 is an abundant number, since it is smaller than the sum of its proper divisors (671669476660).

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

413311241420 is a wasteful number, since it uses less digits than its factorization.

413311241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708543 (or 708541 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 413311241420 its reverse (24142113314), we get a palindrome (437453354734).

The spelling of 413311241420 in words is "four hundred thirteen billion, three hundred eleven million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 379 385 758 770 1516 1540 1895 2653 3790 4169 5306 7580 8338 10612 13265 16676 20845 26530 29183 41690 53060 58366 83380 116732 145915 291830 583660 708137 1416274 2832548 3540685 4956959 7081370 7789507 9913918 14162740 15579014 19827836 24784795 31158028 38947535 49569590 54526549 77895070 99139180 109053098 155790140 218106196 268383923 272632745 536767846 545265490 1073535692 1090530980 1341919615 1878687461 2683839230 2952223153 3757374922 5367678460 5904446306 7514749844 9393437305 11808892612 14761115765 18786874610 20665562071 29522231530 37573749220 41331124142 59044463060 82662248284 103327810355 206655620710 413311241420