Search a number
-
+
31444600901 = 722932190193
BaseRepresentation
bin11101010010001111…
…101000100001000101
310000011102120020021012
4131102033220201011
51003344304212101
622240114532005
72162140461200
oct352217504105
9100142506235
1031444600901
111237672607a
126116897005
132c7175b62c
14174424a937
15c4087dbbb
hex7523e8845

31444600901 has 12 divisors (see below), whose sum is σ = 36703271052. Its totient is φ = 26860514688.

The previous prime is 31444600897. The next prime is 31444600909. The reversal of 31444600901 is 10900644413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29937996676 + 1506604225 = 173026^2 + 38815^2 .

It is not a de Polignac number, because 31444600901 - 22 = 31444600897 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444600909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1080740 + ... + 1109453.

It is an arithmetic number, because the mean of its divisors is an integer number (3058605921).

Almost surely, 231444600901 is an apocalyptic number.

It is an amenable number.

31444600901 is a deficient number, since it is larger than the sum of its proper divisors (5258670151).

31444600901 is a wasteful number, since it uses less digits than its factorization.

31444600901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190500 (or 2190493 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 31444600901 in words is "thirty-one billion, four hundred forty-four million, six hundred thousand, nine hundred one".

Divisors: 1 7 49 293 2051 14357 2190193 15331351 107319457 641726549 4492085843 31444600901