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42181039992 = 23371347410929
BaseRepresentation
bin100111010010001011…
…111001011101111000
311000212200001211220110
4213102023321131320
51142341321234432
631213330024320
73022166631660
oct472213713570
9130780054813
1042181039992
1116986108733
1282124180a0
133c92ba5c80
1420821111a0
15116d20adcc
hex9d22f9778

42181039992 has 128 divisors (see below), whose sum is σ = 132549580800. Its totient is φ = 10887948288.

The previous prime is 42181039981. The next prime is 42181039993. The reversal of 42181039992 is 29993018124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42181039993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102817 + ... + 308112.

It is an arithmetic number, because the mean of its divisors is an integer number (1035543600).

Almost surely, 242181039992 is an apocalyptic number.

42181039992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42181039992 is an abundant number, since it is smaller than the sum of its proper divisors (90368540808).

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

42181039992 is a wasteful number, since it uses less digits than its factorization.

42181039992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411005 (or 411001 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 42181039992 in words is "forty-two billion, one hundred eighty-one million, thirty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 47 52 56 78 84 91 94 104 141 156 168 182 188 273 282 312 329 364 376 546 564 611 658 728 987 1092 1128 1222 1316 1833 1974 2184 2444 2632 3666 3948 4277 4888 7332 7896 8554 12831 14664 17108 25662 34216 51324 102648 410929 821858 1232787 1643716 2465574 2876503 3287432 4931148 5342077 5753006 8629509 9862296 10684154 11506012 16026231 17259018 19313663 21368308 23012024 32052462 34518036 37394539 38627326 42736616 57940989 64104924 69036072 74789078 77254652 112183617 115881978 128209848 135195641 149578156 154509304 224367234 231763956 251077619 270391282 299156312 405586923 448734468 463527912 502155238 540782564 753232857 811173846 897468936 1004310476 1081565128 1506465714 1622347692 1757543333 2008620952 3012931428 3244695384 3515086666 5272629999 6025862856 7030173332 10545259998 14060346664 21090519996 42181039992