Search a number
-
+
31448758715712 = 26321337113510477
BaseRepresentation
bin1110010011010001111000…
…00101111000010101000000
311010100110202001210221122200
413021220330011320111000
513110224024212400322
6150515205454233200
76424045362316332
oct711507405702500
9133313661727580
1031448758715712
11a025386478108
12363ab917b5800
1314717b38983a0
147aa1b14cb452
153980c383a8ac
hex1c9a3c178540

31448758715712 has 168 divisors, whose sum is σ = 99699885162696. Its totient is φ = 9415012921344.

The previous prime is 31448758715701. The next prime is 31448758715713. The reversal of 31448758715712 is 21751785784413.

31448758715712 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 8 + 7 + 58 + 7 + 1 + 571 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9576450133056 + 21872308582656 = 3094584^2 + 4676784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31448758715712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31448758715713) 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 23 ways as a sum of consecutive naturals, for example, 56478183 + ... + 57032294.

It is an arithmetic number, because the mean of its divisors is an integer number (593451697397).

Almost surely, 231448758715712 is an apocalyptic number.

31448758715712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31448758715712 is an abundant number, since it is smaller than the sum of its proper divisors (68251126446984).

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

31448758715712 is a wasteful number, since it uses less digits than its factorization.

31448758715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113510545 (or 113510532 counting only the distinct ones).

The product of its digits is 52684800, while the sum is 63.

The spelling of 31448758715712 in words is "thirty-one trillion, four hundred forty-eight billion, seven hundred fifty-eight million, seven hundred fifteen thousand, seven hundred twelve".