Search a number
-
+
312320143422044 = 2259109463208312589
BaseRepresentation
bin100011100000011011011001…
…1001101000111001001011100
31111221211111212210100120200222
41013000312303031013021130
5311414023123204001134
63024125520530540512
7122533246206624062
oct10700666315071134
91457744783316628
10312320143422044
119057325787975a
122b0418a0137738
1310536880c35a34
14571a5388d4032
15261926c589a2e
hex11c0db334725c

312320143422044 has 96 divisors (see below), whose sum is σ = 562449326208000. Its totient is φ = 151691476882176.

The previous prime is 312320143422013. The next prime is 312320143422071. The reversal of 312320143422044 is 440224341023213.

It is a happy number.

It is a super-2 number, since 2×3123201434220442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312320143421995 and 312320143422013.

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 31 ways as a sum of consecutive naturals, for example, 24808965302 + ... + 24808977890.

It is an arithmetic number, because the mean of its divisors is an integer number (5858847148000).

Almost surely, 2312320143422044 is an apocalyptic number.

It is an amenable number.

312320143422044 is a deficient number, since it is larger than the sum of its proper divisors (250129182785956).

312320143422044 is a wasteful number, since it uses less digits than its factorization.

312320143422044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 312320143422044 its reverse (440224341023213), we get a palindrome (752544484445257).

The spelling of 312320143422044 in words is "three hundred twelve trillion, three hundred twenty billion, one hundred forty-three million, four hundred twenty-two thousand, forty-four".

Divisors: 1 2 4 59 109 118 218 236 436 463 926 1852 2083 4166 6431 8332 12589 12862 25178 25724 27317 50356 50467 54634 100934 109268 122897 201868 227047 245794 454094 491588 742751 908188 964429 1372201 1485502 1928858 2744402 2971004 2977553 3857716 5488804 5828707 5955106 11657414 11910212 13395773 23314828 26222887 26791546 52445774 53583092 56901311 80959859 104891548 105122761 113802622 161919718 210245522 227605244 323839436 343893713 420491044 635329063 687787426 1270658126 1375574852 1547150333 2541316252 2858294683 3094300666 5716589366 6188601332 6202242899 11433178732 12141196681 12404485798 24282393362 24808971596 37484414717 48564786724 74968829434 149937658868 168639386297 337278772594 674557545188 716330604179 1323390438229 1432661208358 2646780876458 2865322416716 5293561752916 78080035855511 156160071711022 312320143422044