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42741414534 = 2373137122501
BaseRepresentation
bin100111110011100101…
…100011101010000110
311002022201111211021010
4213303211203222012
51200013300231114
631345104503050
73042113013000
oct476345435206
9132281454233
1042741414534
1117143461395
12834a01aa86
134052009640
1420d6701370
1511a24ecc59
hex9f3963a86

42741414534 has 128 divisors (see below), whose sum is σ = 108873676800. Its totient is φ = 11113200000.

The previous prime is 42741414509. The next prime is 42741414577. The reversal of 42741414534 is 43541414724.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 42741414492 and 42741414501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1888284 + ... + 1910784.

It is an arithmetic number, because the mean of its divisors is an integer number (850575600).

Almost surely, 242741414534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42741414534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54436838400).

42741414534 is an abundant number, since it is smaller than the sum of its proper divisors (66132262266).

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

42741414534 is a wasteful number, since it uses less digits than its factorization.

42741414534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22611 (or 22597 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The spelling of 42741414534 in words is "forty-two billion, seven hundred forty-one million, four hundred fourteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 71 78 91 98 142 147 182 213 273 294 343 426 497 546 637 686 923 994 1029 1274 1491 1846 1911 2058 2769 2982 3479 3822 4459 5538 6461 6958 8918 10437 12922 13377 19383 20874 22501 24353 26754 38766 45002 45227 48706 67503 73059 90454 135006 135681 146118 157507 271362 292513 315014 316589 472521 585026 633178 877539 945042 949767 1102549 1597571 1755078 1899534 2047591 2205098 3195142 3307647 4095182 4792713 6142773 6615294 7717843 9585426 11182997 12285546 14333137 15435686 20768423 22365994 23153529 28666274 33548991 41536846 42999411 46307058 62305269 67097982 78280979 85998822 100331959 124610538 145378961 156561958 200663918 234842937 290757922 300995877 436136883 469685874 547966853 601991754 872273766 1017652727 1095933706 1643900559 2035305454 3052958181 3287801118 6105916362 7123569089 14247138178 21370707267 42741414534