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5031044401305 = 35131910113444621
BaseRepresentation
bin100100100110110000110…
…0111010100100010011001
3122210222000010122010001010
41021031201213110202121
51124412034331320210
614411121353444133
71026323653550556
oct111154147244231
918728003563033
105031044401305
11166a72145076a
12693072710649
132a656b9414b0
1413570a7b9a2d
158ad07d9c920
hex493619d4899

5031044401305 has 64 divisors (see below), whose sum is σ = 9215481703680. Its totient is φ = 2323230336000.

The previous prime is 5031044401297. The next prime is 5031044401363.

5031044401305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5031044401305 - 23 = 5031044401297 is a prime.

It is a super-2 number, since 2×50310444013052 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6348106 + ... + 7096515.

It is an arithmetic number, because the mean of its divisors is an integer number (143991901620).

Almost surely, 25031044401305 is an apocalyptic number.

It is an amenable number.

5031044401305 is a deficient number, since it is larger than the sum of its proper divisors (4184437302375).

5031044401305 is a wasteful number, since it uses less digits than its factorization.

5031044401305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13444762.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 5031044401305 in words is "five trillion, thirty-one billion, forty-four million, four hundred one thousand, three hundred five".

Divisors: 1 3 5 13 15 19 39 57 65 95 101 195 247 285 303 505 741 1235 1313 1515 1919 3705 3939 5757 6565 9595 19695 24947 28785 74841 124735 374205 13444621 40333863 67223105 174780073 201669315 255447799 524340219 766343397 873900365 1277238995 1357906721 2621701095 3320821387 3831716985 4073720163 6789533605 9962464161 16604106935 17652787373 20368600815 25800227699 49812320805 52958362119 77400683097 88263936865 129001138495 264791810595 335402960087 387003415485 1006208880261 1677014800435 5031044401305