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452077124142 = 23725950951203
BaseRepresentation
bin1101001010000011110…
…01010111101000101110
31121012220000212101021110
412211001321113220232
524401323220433032
6543403101412450
744442615103200
oct6450171275056
91535800771243
10452077124142
111647a7829576
127374786a126
13338278197b7
1417c48706770
15bb5d7d77cc
hex6941e57a2e

452077124142 has 96 divisors (see below), whose sum is σ = 1071720201600. Its totient is φ = 126723721152.

The previous prime is 452077124117. The next prime is 452077124171. The reversal of 452077124142 is 241421770254.

It is a self number, because there is not a number n which added to its sum of digits gives 452077124142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8803513 + ... + 8854715.

It is an arithmetic number, because the mean of its divisors is an integer number (11163752100).

Almost surely, 2452077124142 is an apocalyptic number.

452077124142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 452077124142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535860100800).

452077124142 is an abundant number, since it is smaller than the sum of its proper divisors (619643077458).

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

452077124142 is a wasteful number, since it uses less digits than its factorization.

452077124142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51790 (or 51783 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

Adding to 452077124142 its reverse (241421770254), we get a palindrome (693498894396).

The spelling of 452077124142 in words is "four hundred fifty-two billion, seventy-seven million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 509 826 1018 1239 1527 2478 2891 3054 3563 5782 7126 8673 10689 17346 21378 24941 30031 49882 51203 60062 74823 90093 102406 149646 153609 180186 210217 307218 358421 420434 630651 716842 1075263 1261302 1471519 2150526 2508947 2943038 3020977 4414557 5017894 6041954 7526841 8829114 9062931 15053682 18125862 21146839 26062327 42293678 52124654 63440517 78186981 126881034 148027873 156373962 182436289 296055746 364872578 444083619 547308867 888167238 1094617734 1277054023 1537677293 2554108046 3075354586 3831162069 4613031879 7662324138 9226063758 10763741051 21527482102 32291223153 64582446306 75346187357 150692374714 226038562071 452077124142