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31144243312 = 2471379270763
BaseRepresentation
bin11101000000010101…
…110111000001110000
32222101111101111010001
4131000111313001300
51002240411241222
622150225115344
72151532462120
oct350025670160
988344344101
1031144243312
1112232127a66
126052188b54
132c24466b50
1417163c2c80
15c242ede27
hex740577070

31144243312 has 80 divisors (see below), whose sum is σ = 75207408640. Its totient is φ = 12164795136.

The previous prime is 31144243309. The next prime is 31144243313. The reversal of 31144243312 is 21334244113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144243313) 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, 20358 + ... + 250405.

It is an arithmetic number, because the mean of its divisors is an integer number (940092608).

Almost surely, 231144243312 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 31144243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37603704320).

31144243312 is an abundant number, since it is smaller than the sum of its proper divisors (44063165328).

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

31144243312 is a wasteful number, since it uses less digits than its factorization.

31144243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270870 (or 270864 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 31144243312 its reverse (21334244113), we get a palindrome (52478487425).

The spelling of 31144243312 in words is "thirty-one billion, one hundred forty-four million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 79 91 104 112 158 182 208 316 364 553 632 728 1027 1106 1264 1456 2054 2212 4108 4424 7189 8216 8848 14378 16432 28756 57512 115024 270763 541526 1083052 1895341 2166104 3519919 3790682 4332208 7039838 7581364 14079676 15162728 21390277 24639433 28159352 30325456 42780554 49278866 56318704 85561108 98557732 149731939 171122216 197115464 278073601 299463878 342244432 394230928 556147202 598927756 1112294404 1197855512 1946515207 2224588808 2395711024 3893030414 4449177616 7786060828 15572121656 31144243312