Search a number
-
+
31441456145 = 5112371404577
BaseRepresentation
bin11101010010000011…
…101000110000010001
310000011012122110110202
4131102003220300101
51003343003044040
622235523304545
72162101652621
oct352203506021
9100135573422
1031441456145
1112374978400
12611581b155
132c70bca128
141743a6c881
15c4045c015
hex7520e8c11

31441456145 has 24 divisors (see below), whose sum is σ = 42592423272. Its totient is φ = 22248483840.

The previous prime is 31441456121. The next prime is 31441456153. The reversal of 31441456145 is 54165414413.

It can be written as a sum of positive squares in 4 ways, for example, as 9150070336 + 22291385809 = 95656^2 + 149303^2 .

It is not a de Polignac number, because 31441456145 - 28 = 31441455889 is a prime.

It is a super-2 number, since 2×314414561452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31441456099 and 31441456108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679904 + ... + 724673.

It is an arithmetic number, because the mean of its divisors is an integer number (1774684303).

Almost surely, 231441456145 is an apocalyptic number.

It is an amenable number.

31441456145 is a deficient number, since it is larger than the sum of its proper divisors (11150967127).

31441456145 is a wasteful number, since it uses less digits than its factorization.

31441456145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404641 (or 1404630 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The spelling of 31441456145 in words is "thirty-one billion, four hundred forty-one million, four hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 5 11 37 55 121 185 407 605 2035 4477 22385 1404577 7022885 15450347 51969349 77251735 169953817 259846745 571662839 849769085 2858314195 6288291229 31441456145