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31031144000 = 26533878893
BaseRepresentation
bin11100111001100110…
…011010111001000000
32222002121120110000122
4130321212122321000
51002022433102000
622131105035412
72145660241403
oct347146327100
988077513018
1031031144000
11121842a985a
126020325b68
132c06bb7b8c
141705381d3a
15c1940d085
hex73999ae40

31031144000 has 56 divisors (see below), whose sum is σ = 76848647928. Its totient is φ = 12412454400.

The previous prime is 31031143981. The next prime is 31031144009. The reversal of 31031144000 is 44113013.

It can be written as a sum of positive squares in 4 ways, for example, as 3278249536 + 27752894464 = 57256^2 + 166592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31031144000.

It is not an unprimeable number, because it can be changed into a prime (31031144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1931447 + ... + 1947446.

Almost surely, 231031144000 is an apocalyptic number.

It is an amenable number.

31031144000 is an abundant number, since it is smaller than the sum of its proper divisors (45817503928).

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

31031144000 is an equidigital number, since it uses as much as digits as its factorization.

31031144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878920 (or 3878900 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31031144000 its reverse (44113013), we get a palindrome (31075257013).

The spelling of 31031144000 in words is "thirty-one billion, thirty-one million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 3878893 7757786 15515572 19394465 31031144 38788930 62062288 77577860 96972325 124124576 155155720 193944650 248249152 310311440 387889300 484861625 620622880 775778600 969723250 1241245760 1551557200 1939446500 3103114400 3878893000 6206228800 7757786000 15515572000 31031144000