Search a number
-
+
240453115520031 = 321753257911497721
BaseRepresentation
bin110110101011000011011010…
…100010010010010000011111
31011112101002112001100102112100
4312223003122202102100133
5223004040440033120111
62211222345235540143
7101435110233633021
oct6653033242222037
91145332461312470
10240453115520031
116a685659125107
1222b75511a5a653
13a42282953496b
144353dc86aa011
151cbeb0d80b756
hexdab0da89241f

240453115520031 has 48 divisors (see below), whose sum is σ = 374835855195360. Its totient is φ = 147968481822720.

The previous prime is 240453115520021. The next prime is 240453115520087. The reversal of 240453115520031 is 130025511354042.

240453115520031 is a `hidden beast` number, since 2 + 4 + 0 + 45 + 31 + 1 + 552 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 240453115520031 - 246 = 170084371342367 is a prime.

It is a super-2 number, since 2×2404531155200312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240453115520021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15164251 + ... + 26661971.

It is an arithmetic number, because the mean of its divisors is an integer number (7809080316570).

Almost surely, 2240453115520031 is an apocalyptic number.

240453115520031 is a deficient number, since it is larger than the sum of its proper divisors (134382739675329).

240453115520031 is a wasteful number, since it uses less digits than its factorization.

240453115520031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500376 (or 11500373 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 240453115520031 its reverse (130025511354042), we get a palindrome (370478626874073).

The spelling of 240453115520031 in words is "two hundred forty trillion, four hundred fifty-three billion, one hundred fifteen million, five hundred twenty thousand, thirty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2579 2703 7737 8109 23211 43843 131529 136687 394587 410061 1230183 2323679 6971037 11497721 20913111 34493163 103479489 195461257 586383771 609379213 1759151313 1828137639 5484412917 10359446621 29652622459 31078339863 88957867377 93235019589 266873602131 504094581803 1512283745409 1571588990327 4536851236227 4714766970981 14144300912943 26717012835559 80151038506677 240453115520031