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31531134440 = 23513219723677
BaseRepresentation
bin11101010111011001…
…101110110111101000
310000101110101120222002
4131113121232313220
51004033432300230
622252445350132
72164241135441
oct352731566750
9100343346862
1031531134440
1112410559aa3
12613b868348
132c86668800
1417519342c8
15c48273545
hex75766ede8

31531134440 has 96 divisors (see below), whose sum is σ = 77215378680. Its totient is φ = 11582678016.

The previous prime is 31531134433. The next prime is 31531134491. The reversal of 31531134440 is 4443113513.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1268356996 + 30262777444 = 35614^2 + 173962^2 .

It is a super-2 number, since 2×315311344402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319882 + ... + 1343558.

Almost surely, 231531134440 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 31531134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607689340).

31531134440 is an abundant number, since it is smaller than the sum of its proper divisors (45684244240).

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

31531134440 is a wasteful number, since it uses less digits than its factorization.

31531134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23911 (or 23894 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 31531134440 its reverse (4443113513), we get a palindrome (35974247953).

The spelling of 31531134440 in words is "thirty-one billion, five hundred thirty-one million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 197 260 338 394 520 676 788 845 985 1352 1576 1690 1970 2561 3380 3940 5122 6760 7880 10244 12805 20488 23677 25610 33293 47354 51220 66586 94708 102440 118385 133172 166465 189416 236770 266344 307801 332930 473540 615602 665860 947080 1231204 1331720 1539005 2462408 3078010 4001413 4664369 6156020 8002826 9328738 12312040 16005652 18657476 20007065 23321845 32011304 37314952 40014130 46643690 60636797 80028260 93287380 121273594 160056520 186574760 242547188 303183985 485094376 606367970 788278361 1212735940 1576556722 2425471880 3153113444 3941391805 6306226888 7882783610 15765567220 31531134440