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31143044000 = 255310971429
BaseRepresentation
bin11101000000010001…
…010010001110100000
32222101102010112222002
4131000101102032200
51002240104402000
622150143303132
72151516335435
oct350021221640
988342115862
1031143044000
11122314889a2
1260518aaaa8
132c24136cb3
14171618db8c
15c241638d5
hex7404523a0

31143044000 has 96 divisors (see below), whose sum is σ = 77221544400. Its totient is φ = 12342758400.

The previous prime is 31143043969. The next prime is 31143044003. The reversal of 31143044000 is 44034113.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 50069776 + 31092974224 = 7076^2 + 176332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31143044003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400286 + ... + 471714.

Almost surely, 231143044000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610772200).

31143044000 is an abundant number, since it is smaller than the sum of its proper divisors (46078500400).

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

31143044000 is a wasteful number, since it uses less digits than its factorization.

31143044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71563 (or 71545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31143044000 its reverse (44034113), we get a palindrome (31187078113).

The spelling of 31143044000 in words is "thirty-one billion, one hundred forty-three million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 125 160 200 218 250 400 436 500 545 800 872 1000 1090 1744 2000 2180 2725 3488 4000 4360 5450 8720 10900 13625 17440 21800 27250 43600 54500 71429 87200 109000 142858 218000 285716 357145 436000 571432 714290 1142864 1428580 1785725 2285728 2857160 3571450 5714320 7142900 7785761 8928625 11428640 14285800 15571522 17857250 28571600 31143044 35714500 38928805 57143200 62286088 71429000 77857610 124572176 142858000 155715220 194644025 249144352 285716000 311430440 389288050 622860880 778576100 973220125 1245721760 1557152200 1946440250 3114304400 3892880500 6228608800 7785761000 15571522000 31143044000