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42322140102 = 231119475231373
BaseRepresentation
bin100111011010100110…
…001001101111000110
311001020111120110212110
4213122212021233012
51143133431440402
631235330201450
73025532153364
oct473246115706
9131214513773
1042322140102
1116a488212a0
128251723286
133cb61a9c68
142096b60634
15117a7cd56c
hex9da989bc6

42322140102 has 128 divisors (see below), whose sum is σ = 99529482240. Its totient is φ = 11860007040.

The previous prime is 42322140071. The next prime is 42322140103. The reversal of 42322140102 is 20104122324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322140103) by changing a digit.

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, 30823888 + ... + 30825260.

It is an arithmetic number, because the mean of its divisors is an integer number (777574080).

Almost surely, 242322140102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42322140102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49764741120).

42322140102 is an abundant number, since it is smaller than the sum of its proper divisors (57207342138).

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

42322140102 is a wasteful number, since it uses less digits than its factorization.

42322140102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42322140102 its reverse (20104122324), we get a palindrome (62426262426).

The spelling of 42322140102 in words is "forty-two billion, three hundred twenty-two million, one hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 114 141 209 282 418 517 523 627 893 1034 1046 1254 1373 1551 1569 1786 2679 2746 3102 3138 4119 5358 5753 8238 9823 9937 11506 15103 17259 19646 19874 24581 26087 29469 29811 30206 34518 45309 49162 52174 58938 59622 64531 73743 78261 90618 109307 129062 147486 156522 193593 218614 270391 286957 327921 387186 467039 540782 573914 655842 709841 718079 811173 860871 934078 1226089 1401117 1419682 1436158 1622346 1721742 2129523 2154237 2452178 2802234 3678267 4259046 4308474 5137429 7356534 7898869 10274858 13486979 13643501 15412287 15797738 23696607 26973958 27287002 30824574 33749713 40460937 40930503 47393214 67499426 80921874 81861006 101249139 150078511 202498278 300157022 371246843 450235533 641244547 742493686 900471066 1113740529 1282489094 1923733641 2227481058 3847467282 7053690017 14107380034 21161070051 42322140102