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3542103340542 = 23213311831266683
BaseRepresentation
bin110011100010110101110…
…011111011010111111110
3110112121210021100021222200
4303202311303323113332
5431013211423344132
611311115251252330
7513623423423424
oct63426563732776
913477707307880
103542103340542
111146219aa2088
124925972aa0a6
131c903271a720
14c361dba3114
1562211835d7c
hex338b5cfb5fe

3542103340542 has 96 divisors (see below), whose sum is σ = 8536209217536. Its totient is φ = 1054140609600.

The previous prime is 3542103340487. The next prime is 3542103340549. The reversal of 3542103340542 is 2450433012453.

3542103340542 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 103 + 3 + 4 + 0 + 542 = 666.

It is a super-3 number, since 3×35421033405423 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3542103340497 and 3542103340506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542103340549) 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, 13148733 + ... + 13415415.

It is an arithmetic number, because the mean of its divisors is an integer number (88918846016).

Almost surely, 23542103340542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542103340542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268104608768).

3542103340542 is an abundant number, since it is smaller than the sum of its proper divisors (4994105876994).

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

3542103340542 is a wasteful number, since it uses less digits than its factorization.

3542103340542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268566 (or 268563 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3542103340542 its reverse (2450433012453), we get a palindrome (5992536352995).

The spelling of 3542103340542 in words is "three trillion, five hundred forty-two billion, one hundred three million, three hundred forty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 1831 2418 3627 3662 5493 7254 10986 16479 23803 32958 47606 56761 71409 113522 142818 170283 214227 266683 340566 428454 510849 533366 737893 800049 1021698 1475786 1600098 2213679 2400147 3466879 4427358 4800294 6641037 6933758 8267173 10400637 13282074 16534346 20801274 24801519 31201911 49603038 62403822 74404557 107473249 148809114 214946498 322419747 488296573 644839494 967259241 976593146 1464889719 1934518482 2929779438 4394669157 6347855449 8789338314 12695710898 15137193763 19043566347 30274387526 38087132694 45411581289 57130699041 90823162578 114261398082 136234743867 196783518919 272469487734 393567037838 590350556757 1180701113514 1771051670271 3542103340542