Search a number
-
+
31047987312 = 243396774323
BaseRepresentation
bin11100111010100110…
…101011000001110000
32222010210021011201000
4130322212223001300
51002041241043222
622132510042000
72146253352306
oct347246530160
988123234630
1031047987312
1112192863451
126025aa9300
132c0a534534
1417076c8276
15c1ab389ac
hex73a9ab070

31047987312 has 80 divisors (see below), whose sum is σ = 89212583680. Its totient is φ = 10338487488.

The previous prime is 31047987253. The next prime is 31047987319. The reversal of 31047987312 is 21378974013.

It is a super-2 number, since 2×310479873122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31047987319) 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 15 ways as a sum of consecutive naturals, for example, 380583 + ... + 454905.

It is an arithmetic number, because the mean of its divisors is an integer number (1115157296).

Almost surely, 231047987312 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 31047987312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606291840).

31047987312 is an abundant number, since it is smaller than the sum of its proper divisors (58164596368).

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

31047987312 is a wasteful number, since it uses less digits than its factorization.

31047987312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75307 (or 75295 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 31047987312 in words is "thirty-one billion, forty-seven million, nine hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 967 1934 2901 3868 5802 7736 8703 11604 15472 17406 23208 26109 34812 46416 52218 69624 74323 104436 139248 148646 208872 222969 297292 417744 445938 594584 668907 891876 1189168 1337814 1783752 2006721 2675628 3567504 4013442 5351256 8026884 10702512 16053768 32107536 71870341 143740682 215611023 287481364 431222046 574962728 646833069 862444092 1149925456 1293666138 1724888184 1940499207 2587332276 3449776368 3880998414 5174664552 7761996828 10349329104 15523993656 31047987312