Search a number
-
+
5034315325144 = 2371813731331573
BaseRepresentation
bin100100101000010010010…
…0100111001111011011000
3122211021110002110021000111
41021100210210321323120
51124440234210401034
614412422121014104
71026501012132640
oct111204444717330
918737402407014
105034315325144
11167104a836206
12693826024334
132a69704b31a1
1413593ad87520
158ae4a10a364
hex49424939ed8

5034315325144 has 64 divisors (see below), whose sum is σ = 10876509483840. Its totient is φ = 2139889466880.

The previous prime is 5034315325141. The next prime is 5034315325147. The reversal of 5034315325144 is 4415235134305.

It is an interprime number because it is at equal distance from previous prime (5034315325141) and next prime (5034315325147).

It is a junction number, because it is equal to n+sod(n) for n = 5034315325097 and 5034315325106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034315325141) 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 15 ways as a sum of consecutive naturals, for example, 3114942 + ... + 4446514.

It is an arithmetic number, because the mean of its divisors is an integer number (169945460685).

Almost surely, 25034315325144 is an apocalyptic number.

It is an amenable number.

5034315325144 is an abundant number, since it is smaller than the sum of its proper divisors (5842194158696).

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

5034315325144 is a wasteful number, since it uses less digits than its factorization.

5034315325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332140 (or 1332136 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 5034315325144 in words is "five trillion, thirty-four billion, three hundred fifteen million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 181 362 373 724 746 1267 1448 1492 2534 2611 2984 5068 5222 10136 10444 20888 67513 135026 270052 472591 540104 945182 1331573 1890364 2663146 3780728 5326292 9321011 10652584 18642022 37284044 74568088 241014713 482029426 496676729 964058852 993353458 1687102991 1928117704 1986706916 3374205982 3476737103 3973413832 6748411964 6953474206 13496823928 13906948412 27813896824 89898487949 179796975898 359593951796 629289415643 719187903592 1258578831286 2517157662572 5034315325144