Search a number
-
+
3133141722 = 23437719727
BaseRepresentation
bin1011101010111111…
…1111001011011010
322002100120002110000
42322233333023122
522404041013342
61234522033430
7140433156654
oct27257771332
98070502400
103133141722
111368638827
12735348876
133ac160019
1421a1836d4
151350e344c
hexbabff2da

3133141722 has 80 divisors (see below), whose sum is σ = 7230263040. Its totient is φ = 1013344992.

The previous prime is 3133141691. The next prime is 3133141727. The reversal of 3133141722 is 2271413313.

It is a happy number.

3133141722 is a `hidden beast` number, since 313 + 314 + 17 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3133141727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4309323 + ... + 4310049.

It is an arithmetic number, because the mean of its divisors is an integer number (90378288).

It is a self-describing number.

Almost surely, 23133141722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133141722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615131520).

3133141722 is an abundant number, since it is smaller than the sum of its proper divisors (4097121318).

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

3133141722 is a wasteful number, since it uses less digits than its factorization.

3133141722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1488 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3133141722 is about 55974.4738429938. The cubic root of 3133141722 is about 1463.2774501530.

The spelling of 3133141722 in words is "three billion, one hundred thirty-three million, one hundred forty-one thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 719 727 999 1438 1454 1998 2157 2181 2997 4314 4362 5994 6471 6543 12942 13086 19413 19629 26603 26899 38826 39258 53206 53798 58239 58887 79809 80697 116478 117774 159618 161394 239427 242091 478854 484182 522713 718281 726273 1045426 1436562 1452546 1568139 2154843 2178819 3136278 4309686 4357638 4704417 9408834 14113251 19340381 28226502 38680762 42339753 58021143 84679506 116042286 174063429 348126858 522190287 1044380574 1566570861 3133141722