Search a number
-
+
61110972144 = 24321891122441
BaseRepresentation
bin111000111010011111…
…110110111011110000
312211201221002001000200
4320322133312323300
52000123402102034
644023552115200
74262246456355
oct707237667360
9184657061020
1061110972144
1123a0a606962
12ba15b35b00
1359bb980061
142d5a24a62c
1518ca054a99
hexe3a7f6ef0

61110972144 has 60 divisors (see below), whose sum is σ = 171042510912. Its totient is φ = 20368339200.

The previous prime is 61110972133. The next prime is 61110972149. The reversal of 61110972144 is 44127901116.

61110972144 is a `hidden beast` number, since 611 + 10 + 9 + 7 + 21 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61110972099 and 61110972108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61110972149) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2711964 + ... + 2734404.

Almost surely, 261110972144 is an apocalyptic number.

It is an amenable number.

61110972144 is an abundant number, since it is smaller than the sum of its proper divisors (109931538768).

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

61110972144 is a wasteful number, since it uses less digits than its factorization.

61110972144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41366 (or 41357 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 61110972 and 144, that added together give a palindrome (61111116).

The spelling of 61110972144 in words is "sixty-one billion, one hundred ten million, nine hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18911 22441 37822 44882 56733 67323 75644 89764 113466 134646 151288 170199 179528 201969 226932 269292 302576 340398 359056 403938 453864 538584 680796 807876 907728 1077168 1361592 1615752 2723184 3231504 424381751 848763502 1273145253 1697527004 2546290506 3395054008 3819435759 5092581012 6790108016 7638871518 10185162024 15277743036 20370324048 30555486072 61110972144