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42015455511141 = 37232915735275417
BaseRepresentation
bin10011000110110011111000…
…10011010000001001100101
312111202122020100001011210010
421203121330103100021211
521001340123102324031
6225205344522320433
711564342104163040
oct1143317423201145
9174678210034703
1042015455511141
1112429722328162
124866a63059119
131a5a06ab541a8
14a537b7883c57
154ccdb99da246
hex26367c4d0265

42015455511141 has 128 divisors (see below), whose sum is σ = 69583639265280. Its totient is φ = 22021531564032.

The previous prime is 42015455511089. The next prime is 42015455511157. The reversal of 42015455511141 is 14111555451024.

It is not a de Polignac number, because 42015455511141 - 26 = 42015455511077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42015455511141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42015455511941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7756219465 + ... + 7756224881.

It is an arithmetic number, because the mean of its divisors is an integer number (543622181760).

Almost surely, 242015455511141 is an apocalyptic number.

It is an amenable number.

42015455511141 is a deficient number, since it is larger than the sum of its proper divisors (27568183754139).

42015455511141 is a wasteful number, since it uses less digits than its factorization.

42015455511141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163.

The product of its (nonzero) digits is 80000, while the sum is 39.

The spelling of 42015455511141 in words is "forty-two trillion, fifteen billion, four hundred fifty-five million, five hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 7 21 23 29 69 87 157 161 203 471 483 609 667 1099 2001 3297 3527 3611 4553 4669 5417 10581 10833 13659 14007 16251 24689 25277 31871 37919 74067 75831 81121 95613 102283 104719 113757 124591 157093 243363 306849 314157 373773 471279 553739 567847 715981 733033 850469 872137 1099651 1661217 1703541 2147943 2199099 2352509 2551407 2616411 3298953 3613139 3876173 5953283 7057527 10839417 11628519 12735997 16058431 16467563 17859849 19105759 19560787 24663601 25291973 38207991 48175293 49402689 57317277 58682361 73990803 75875919 89151979 112409017 133740313 136925509 172645207 267455937 337227051 369343913 401220939 410776527 439432457 517935621 554067011 567262823 1108031739 1318297371 1662201033 1701788469 2585407391 2999604163 3076027199 3878469077 3970839761 7756222173 8998812489 9228081597 11635407231 11912519283 12743541253 20997229141 38230623759 62991687423 68990895749 86988520727 89204788771 206972687247 260965562181 267614366313 482936270243 608919645089 1448808810729 1826758935267 2000735976721 6002207930163 14005151837047 42015455511141