Search a number
-
+
319415891453505 = 325711531739311669
BaseRepresentation
bin100100010100000011100111…
…0101111101110011001000001
31112212221212020200010112000200
41020220013032233232121001
5313331302221203003010
63051201345041035413
7124165015362005130
oct11050071657563101
91485855220115020
10319415891453505
1192859578630210
122b9a8b33925b69
131092ca3519a982
1458c3b511a7917
1526ddb18a7acc0
hex12281cebee641

319415891453505 has 96 divisors (see below), whose sum is σ = 703294152387840. Its totient is φ = 130239657699840.

The previous prime is 319415891453471. The next prime is 319415891453537. The reversal of 319415891453505 is 505354198514913.

It is a happy number.

319415891453505 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 1 + 5 + 8 + 91 + 4 + 535 + 0 + 5 = 666.

It is not a de Polignac number, because 319415891453505 - 29 = 319415891452993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 869472190 + ... + 869839479.

It is an arithmetic number, because the mean of its divisors is an integer number (7325980754040).

Almost surely, 2319415891453505 is an apocalyptic number.

319415891453505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

319415891453505 is an abundant number, since it is smaller than the sum of its proper divisors (383878260934335).

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

319415891453505 is a wasteful number, since it uses less digits than its factorization.

319415891453505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739311751 (or 1739311748 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 319415891453505 in words is "three hundred nineteen trillion, four hundred fifteen billion, eight hundred ninety-one million, four hundred fifty-three thousand, five hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 53 55 63 77 99 105 159 165 231 265 315 371 385 477 495 583 693 795 1113 1155 1749 1855 2385 2915 3339 3465 4081 5247 5565 8745 12243 16695 20405 26235 36729 61215 183645 1739311669 5217935007 8696558345 12175181683 15653805021 19132428359 26089675035 36525545049 57397285077 60875908415 78269025105 92183518457 95662141795 109576635147 133926998513 172191855231 182627725245 276550555371 286986425385 401780995539 460917592285 547883175735 645284629199 669634992565 829651666113 860959276155 1014018703027 1205342986617 1382752776855 1935853887597 2008904977695 3042056109081 3226423145995 4148258330565 5070093515135 5807561662791 6026714933085 7098130921189 9126168327243 9679269437985 15210280545405 21294392763567 29037808313955 35490654605945 45630841636215 63883178290701 106471963817835 319415891453505