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2142015342341 = 7431392439839
BaseRepresentation
bin11111001010111010000…
…100000100011100000101
321120202220201202201200012
4133022322010010130011
5240043321411423331
64320010034400005
7310520064666020
oct37127204043405
97522821681605
102142015342341
11756472900506
122a7178730005
13126cb6812b14
1475961a0c1b7
153aabaae282b
hex1f2ba104705

2142015342341 has 48 divisors (see below), whose sum is σ = 2531860531200. Its totient is φ = 1774240778016.

The previous prime is 2142015342293. The next prime is 2142015342361. The reversal of 2142015342341 is 1432435102412.

It is a de Polignac number, because none of the positive numbers 2k-2142015342341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2142015342298 and 2142015342307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142015342361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553057200 + ... + 2553058038.

It is an arithmetic number, because the mean of its divisors is an integer number (52747094400).

Almost surely, 22142015342341 is an apocalyptic number.

It is an amenable number.

2142015342341 is a deficient number, since it is larger than the sum of its proper divisors (389845188859).

2142015342341 is an equidigital number, since it uses as much as digits as its factorization.

2142015342341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 2142015342341 in words is "two trillion, one hundred forty-two billion, fifteen million, three hundred forty-two thousand, three hundred forty-one".

Divisors: 1 7 43 139 301 439 839 973 3073 5873 5977 18877 19321 36077 41839 61021 116621 132139 135247 252539 368321 427147 816347 830803 2578247 2623903 5014703 5815621 8481919 15837803 16210319 18367321 35102921 51196619 59373433 110864621 113472233 358376333 364722517 697043717 2201454617 2553057619 4879306019 7116330041 15410182319 49814310287 306002191763 2142015342341