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31240441013553 = 3273317150000437
BaseRepresentation
bin1110001101001101110110…
…11000111010010100110001
311002121120001001022012211100
413012212323120322110301
513043320410344413203
6150235354355035013
76403022152133652
oct706467330722461
9132546031265740
1031240441013553
119a54aa65741a2
12360673459ba69
131457c6527aa75
147a008c881529
15392980061ea3
hex1c69bb63a531

31240441013553 has 24 divisors (see below), whose sum is σ = 45887533991208. Its totient is φ = 20476859519232.

The previous prime is 31240441013539. The next prime is 31240441013569. The reversal of 31240441013553 is 35531014404213.

31240441013553 is a `hidden beast` number, since 3 + 1 + 2 + 40 + 44 + 10 + 13 + 553 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123757611264 + 31116683402289 = 351792^2 + 5578233^2 .

It is not a de Polignac number, because 31240441013553 - 230 = 31239367271729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31240441012553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74791950 + ... + 75208487.

It is an arithmetic number, because the mean of its divisors is an integer number (1911980582967).

Almost surely, 231240441013553 is an apocalyptic number.

It is an amenable number.

31240441013553 is a deficient number, since it is larger than the sum of its proper divisors (14647092977655).

31240441013553 is a wasteful number, since it uses less digits than its factorization.

31240441013553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150000833 (or 150000830 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 31240441013553 its reverse (35531014404213), we get a palindrome (66771455417766).

The spelling of 31240441013553 in words is "thirty-one trillion, two hundred forty billion, four hundred forty-one million, thirteen thousand, five hundred fifty-three".

Divisors: 1 3 9 73 219 317 657 951 2853 23141 69423 208269 150000437 450001311 1350003933 10950031901 32850095703 47550138529 98550287109 142650415587 427951246761 3471160112617 10413480337851 31240441013553