Search a number
-
+
401155420013504 = 2613835809132009
BaseRepresentation
bin101101100110110010100011…
…0010011110100001111000000
31221121101002020221212021021022
41123031211012103310033000
5410040012300010413004
63541104131131445012
7150332344162665302
oct13315450623641700
91847332227767238
10401155420013504
11106903070552042
1238baa7365b6768
13142aba41c52510
14710c0511d7972
153159e8e1e42be
hex16cd9464f43c0

401155420013504 has 56 divisors (see below), whose sum is σ = 867605483957520. Its totient is φ = 182917948667904.

The previous prime is 401155420013443. The next prime is 401155420013539. The reversal of 401155420013504 is 405310024551104.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2904496949 + ... + 2904635060.

It is an arithmetic number, because the mean of its divisors is an integer number (15492955070670).

Almost surely, 2401155420013504 is an apocalyptic number.

It is an amenable number.

401155420013504 is an abundant number, since it is smaller than the sum of its proper divisors (466450063944016).

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

401155420013504 is a wasteful number, since it uses less digits than its factorization.

401155420013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809132117 (or 5809132107 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 401155420013504 its reverse (405310024551104), we get a palindrome (806465444564608).

The spelling of 401155420013504 in words is "four hundred one trillion, one hundred fifty-five billion, four hundred twenty million, thirteen thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 832 1079 1328 2158 2656 4316 5312 8632 17264 34528 69056 5809132009 11618264018 23236528036 46473056072 75518716117 92946112144 151037432234 185892224288 302074864468 371784448576 482157956747 604149728936 964315913494 1208299457872 1928631826988 2416598915744 3857263653976 4833197831488 6268053437711 7714527307952 12536106875422 15429054615904 25072213750844 30858109231808 50144427501688 100288855003376 200577710006752 401155420013504