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31444333300 = 22521370922937
BaseRepresentation
bin11101010010001110…
…100111001011110100
310000011102001122012001
4131102032213023310
51003344222131200
622240105105044
72162135265052
oct352216471364
9100142048161
1031444333300
1112376563016
126116788184
132c716968a3
1417441bb1d2
15c4082976a
hex7523a72f4

31444333300 has 36 divisors (see below), whose sum is σ = 68242155660. Its totient is φ = 12576267520.

The previous prime is 31444333241. The next prime is 31444333301. The reversal of 31444333300 is 333344413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 159213924 + 31285119376 = 12618^2 + 176876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444333301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1359432 + ... + 1382368.

It is an arithmetic number, because the mean of its divisors is an integer number (1895615435).

Almost surely, 231444333300 is an apocalyptic number.

It is an amenable number.

31444333300 is an abundant number, since it is smaller than the sum of its proper divisors (36797822360).

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

31444333300 is a wasteful number, since it uses less digits than its factorization.

31444333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36660 (or 36653 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 31444333300 its reverse (333344413), we get a palindrome (31777677713).

It can be divided in two parts, 314443 and 33300, that added together give a palindrome (347743).

The spelling of 31444333300 in words is "thirty-one billion, four hundred forty-four million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13709 22937 27418 45874 54836 68545 91748 114685 137090 229370 274180 342725 458740 573425 685450 1146850 1370900 2293700 314443333 628886666 1257773332 1572216665 3144433330 6288866660 7861083325 15722166650 31444333300