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42002024224041 = 32737831013214309
BaseRepresentation
bin10011000110011010110111…
…01110111101010100101001
312111201100120021201002122100
421203031123232331110221
521001130121200132131
6225155244043244013
711563355213134440
oct1143153356752451
9174640507632570
1042002024224041
1112423a5a758392
124864334b19609
131a58a0a30812b
14a52ca1b2bd57
154cc8807947e6
hex26335bbbd529

42002024224041 has 96 divisors (see below), whose sum is σ = 72140078949120. Its totient is φ = 23048239053312.

The previous prime is 42002024224033. The next prime is 42002024224057. The reversal of 42002024224041 is 14042242020024.

It is not a de Polignac number, because 42002024224041 - 23 = 42002024224033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42002024223996 and 42002024224014.

It is not an unprimeable number, because it can be changed into a prime (42002024224021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195880995 + ... + 196095303.

It is an arithmetic number, because the mean of its divisors is an integer number (751459155720).

Almost surely, 242002024224041 is an apocalyptic number.

It is an amenable number.

42002024224041 is a deficient number, since it is larger than the sum of its proper divisors (30138054725079).

42002024224041 is a wasteful number, since it uses less digits than its factorization.

42002024224041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215455 (or 215452 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 42002024224041 its reverse (14042242020024), we get a palindrome (56044266244065).

The spelling of 42002024224041 in words is "forty-two trillion, two billion, twenty-four million, two hundred twenty-four thousand, forty-one".

Divisors: 1 3 7 9 21 37 63 83 111 249 259 333 581 747 777 1013 1743 2331 3039 3071 5229 7091 9117 9213 21273 21497 27639 37481 63819 64491 84079 112443 193473 214309 252237 262367 337329 588553 642927 756711 787101 1500163 1765659 1928781 2361303 3110923 4500489 5296977 7929433 9332769 13501467 17787647 21776461 23788299 27998307 53362941 55506031 65329383 71364897 124513529 160088823 166518093 195988149 217095017 373540587 499554279 651285051 658142939 1120621761 1519665119 1953855153 1974428817 4558995357 4607000573 5923286451 8032515629 13676986071 13821001719 18018886411 24097546887 41463005157 54056659233 56227609403 72292640661 126132204877 162169977699 168682828209 378396614631 506048484627 666698797207 1135189843893 2000096391621 4666891580449 6000289174863 14000674741347 42002024224041