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42021044142 = 237111710152973
BaseRepresentation
bin100111001000101001…
…100011111110101110
311000110112000012212020
4213020221203332232
51142024341403032
631145412451010
73015214660530
oct471051437656
9130415005766
1042021044142
1116903869460
128188919a66
133c689b737c
142068b83850
15115e154b2c
hex9c8a63fae

42021044142 has 128 divisors (see below), whose sum is σ = 112043824128. Its totient is φ = 10170624000.

The previous prime is 42021044141. The next prime is 42021044161. The reversal of 42021044142 is 24144012024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021044141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766768 + ... + 819740.

It is an arithmetic number, because the mean of its divisors is an integer number (875342376).

Almost surely, 242021044142 is an apocalyptic number.

42021044142 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 42021044142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56021912064).

42021044142 is an abundant number, since it is smaller than the sum of its proper divisors (70022779986).

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

42021044142 is a wasteful number, since it uses less digits than its factorization.

42021044142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53114.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42021044142 its reverse (24144012024), we get a palindrome (66165056166).

The spelling of 42021044142 in words is "forty-two billion, twenty-one million, forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 101 102 119 154 187 202 231 238 303 357 374 462 561 606 707 714 1111 1122 1309 1414 1717 2121 2222 2618 3333 3434 3927 4242 5151 6666 7777 7854 10302 12019 15554 18887 23331 24038 36057 37774 46662 52973 56661 72114 105946 113322 132209 158919 264418 317838 370811 396627 582703 741622 793254 900541 1112433 1165406 1748109 1801082 2224866 2701623 3496218 4078921 5350273 5403246 6303787 8157842 9905951 10700546 12236763 12607574 16050819 18911361 19811902 24473526 29717853 32101638 37451911 37822722 58853003 59435706 69341657 74903822 90954641 112355733 117706006 138683314 176559009 181909282 208024971 224711466 272863923 353118018 411971021 416049942 545727846 636682487 823942042 1000501051 1235913063 1273364974 1910047461 2001002102 2471826126 3001503153 3820094922 6003006306 7003507357 14007014714 21010522071 42021044142