Search a number
-
+
51403444430415 = 3572116357878099
BaseRepresentation
bin10111011000000010011000…
…00010111010011001001111
320202000010021102110020212120
423230001030002322121033
523214143223233233130
6301154225534104023
713553530162305300
oct1354011402723117
9222003242406776
1051403444430415
1115419095328990
1259223b964b013
13228b429b0ac4c
14c99d234687a7
155e21c53a1910
hex2ec04c0ba64f

51403444430415 has 48 divisors (see below), whose sum is σ = 104370926889600. Its totient is φ = 21362470409280.

The previous prime is 51403444430309. The next prime is 51403444430431.

51403444430415 is nontrivially palindromic in base 10.

51403444430415 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51403444430415 - 211 = 51403444428367 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3178930965 + ... + 3178947134.

It is an arithmetic number, because the mean of its divisors is an integer number (2174394310200).

Almost surely, 251403444430415 is an apocalyptic number.

51403444430415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51403444430415 is an abundant number, since it is smaller than the sum of its proper divisors (52967482459185).

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

51403444430415 is a wasteful number, since it uses less digits than its factorization.

51403444430415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357878132 (or 6357878125 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 5140344 and 4430415, that added together give a palindrome (9570759).

The spelling of 51403444430415 in words is "fifty-one trillion, four hundred three billion, four hundred forty-four million, four hundred thirty thousand, four hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 6357878099 19073634297 31789390495 44505146693 69936659089 95368171485 133515440079 209809977267 222525733465 311536026851 349683295445 489556613623 667577200395 934608080553 1049049886335 1468669840869 1557680134255 2447783068115 3426896295361 4673040402765 7343349204345 10280688886083 17134481476805 51403444430415