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31540053042 = 23223379721227
BaseRepresentation
bin11101010111111011…
…110000010000110010
310000102002011200222200
4131113323300100302
51004043223144132
622253404444030
72164410012261
oct352773602062
9100362150880
1031540053042
11124155a0743
126142849616
132c8846c0a4
141752bb65d8
15c48e35d7c
hex757ef0432

31540053042 has 96 divisors (see below), whose sum is σ = 73993675392. Its totient is φ = 9683131392.

The previous prime is 31540053023. The next prime is 31540053047. The reversal of 31540053042 is 24035004513.

31540053042 is a `hidden beast` number, since 31 + 540 + 0 + 53 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31540052997 and 31540053015.

It is not an unprimeable number, because it can be changed into a prime (31540053047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475233 + ... + 1496459.

It is an arithmetic number, because the mean of its divisors is an integer number (770767452).

Almost surely, 231540053042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31540053042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36996837696).

31540053042 is an abundant number, since it is smaller than the sum of its proper divisors (42453622350).

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

31540053042 is a wasteful number, since it uses less digits than its factorization.

31540053042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21392 (or 21389 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 31540053042 its reverse (24035004513), we get a palindrome (55575057555).

The spelling of 31540053042 in words is "thirty-one billion, five hundred forty million, fifty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 97 111 138 194 207 222 291 333 414 582 666 851 873 1702 1746 2231 2553 3589 4462 5106 6693 7178 7659 10767 13386 15318 20079 21227 21534 32301 40158 42454 63681 64602 82547 127362 165094 191043 247641 382086 488221 495282 742923 785399 976442 1464663 1485846 1570798 2059019 2356197 2929326 4118038 4393989 4712394 6177057 7068591 8787978 12354114 14137182 18064177 18531171 36128354 37062342 47357437 54192531 76183703 94714874 108385062 142072311 152367406 162577593 228551109 284144622 325155186 426216933 457102218 685653327 852433866 1371306654 1752225169 3504450338 5256675507 10513351014 15770026521 31540053042