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340141442442312 = 233720171003793477
BaseRepresentation
bin100110101010110110101100…
…1110110011010010001001000
31122121100012111221210010210010
41031111231121312122101020
5324040334133231123222
63203230453234551520
7131434260013465230
oct11525553166322110
91577305457703703
10340141442442312
119941a1a2875a15
1232195834a385a0
13117a427b350414
145ddcd0dd3ccc0
15294ccd5c2780c
hex1355b59d9a448

340141442442312 has 64 divisors (see below), whose sum is σ = 972314514529920. Its totient is φ = 97135087085568.

The previous prime is 340141442442301. The next prime is 340141442442341. The reversal of 340141442442312 is 213244244141043.

It is a happy number.

It is a super-4 number, since 4×3401414424423124 (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501557883 + ... + 502235594.

It is an arithmetic number, because the mean of its divisors is an integer number (15192414289530).

Almost surely, 2340141442442312 is an apocalyptic number.

It is an amenable number.

340141442442312 is an abundant number, since it is smaller than the sum of its proper divisors (632173072087608).

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

340141442442312 is a wasteful number, since it uses less digits than its factorization.

340141442442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003795510 (or 1003795506 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 340141442442312 its reverse (213244244141043), we get a palindrome (553385686583355).

The spelling of 340141442442312 in words is "three hundred forty trillion, one hundred forty-one billion, four hundred forty-two million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2017 4034 6051 8068 12102 14119 16136 24204 28238 42357 48408 56476 84714 112952 169428 338856 1003793477 2007586954 3011380431 4015173908 6022760862 7026554339 8030347816 12045521724 14053108678 21079663017 24091043448 28106217356 42159326034 56212434712 84318652068 168637304136 2024651443109 4049302886218 6073954329327 8098605772436 12147908658654 14172560101763 16197211544872 24295817317308 28345120203526 42517680305289 48591634634616 56690240407052 85035360610578 113380480814104 170070721221156 340141442442312