Search a number
-
+
331145010303540 = 22357082877792157
BaseRepresentation
bin100101101001011001011010…
…0101101010101001000110100
31121102111011011010112102221020
41023102302310231111020310
5321400434440114203130
63132141530112021140
7126515303025154506
oct11322626455251064
91542434133472836
10331145010303540
11965708a0424834
1231182155b317b0
13112a0ac06ca224
145bab70b03bd76
152843c958aee10
hex12d2cb4b55234

331145010303540 has 48 divisors (see below), whose sum is σ = 927207456924672. Its totient is φ = 88305200073856.

The previous prime is 331145010303509. The next prime is 331145010303581. The reversal of 331145010303540 is 45303010541133.

It is a super-2 number, since 2×3311450103035402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38601142 + ... + 46393298.

It is an arithmetic number, because the mean of its divisors is an integer number (19316822019264).

Almost surely, 2331145010303540 is an apocalyptic number.

331145010303540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331145010303540 is an abundant number, since it is smaller than the sum of its proper divisors (596062446621132).

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

331145010303540 is a wasteful number, since it uses less digits than its factorization.

331145010303540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500456 (or 8500454 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 331145010303540 its reverse (45303010541133), we get a palindrome (376448020844673).

The spelling of 331145010303540 in words is "three hundred thirty-one trillion, one hundred forty-five billion, ten million, three hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 708287 1416574 2124861 2833148 3541435 4249722 7082870 7792157 8499444 10624305 14165740 15584314 21248610 23376471 31168628 38960785 42497220 46752942 77921570 93505884 116882355 155843140 233764710 467529420 5519083505059 11038167010118 16557250515177 22076334020236 27595417525295 33114501030354 55190835050590 66229002060708 82786252575885 110381670101180 165572505151770 331145010303540