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400224412041 = 31719210122131
BaseRepresentation
bin1011101001011110011…
…10111110000110001001
31102021001022211200102220
411310233032332012021
523024124422141131
6503505514044253
740625635241346
oct5645716760611
91367038750386
10400224412041
111448092794a3
1265696419689
132b982c9202c
1415529cdb7cd
15a626475e96
hex5d2f3be189

400224412041 has 72 divisors (see below), whose sum is σ = 602571202272. Its totient is φ = 235438272000.

The previous prime is 400224412031. The next prime is 400224412051. The reversal of 400224412041 is 140214422004.

It is an interprime number because it is at equal distance from previous prime (400224412031) and next prime (400224412051).

It is not a de Polignac number, because 400224412041 - 210 = 400224411017 is a prime.

It is a super-3 number, since 3×4002244120413 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (400224412031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187809546 + ... + 187811676.

It is an arithmetic number, because the mean of its divisors is an integer number (8369044476).

Almost surely, 2400224412041 is an apocalyptic number.

It is an amenable number.

400224412041 is a deficient number, since it is larger than the sum of its proper divisors (202346790231).

400224412041 is a wasteful number, since it uses less digits than its factorization.

400224412041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 400224412041 its reverse (140214422004), we get a palindrome (540438834045).

The spelling of 400224412041 in words is "four hundred billion, two hundred twenty-four million, four hundred twelve thousand, forty-one".

Divisors: 1 3 17 19 51 57 101 303 323 361 969 1083 1717 1919 2131 5151 5757 6137 6393 10201 18411 30603 32623 36227 36461 40489 97869 108681 109383 121467 173417 193819 215231 520251 581457 619837 645693 688313 769291 1859511 2064939 2307873 3294923 3658927 3682561 4089389 9884769 10976781 11047683 12268167 13077947 21738331 39233841 62603537 65214993 69519613 77698391 187810611 208558839 233095173 369551627 413028289 1108654881 1239084867 1320872647 3962617941 7021480913 7847537491 21064442739 23542612473 133408137347 400224412041