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42451831422 = 232711213214189
BaseRepresentation
bin100111100010010100…
…111000101001111110
311001120112121110220200
4213202110320221332
51143420132101142
631300242024330
73031665420240
oct474224705176
9131515543820
1042451831422
1117004a52300
1282890480a6
1340070180a0
1420aa080090
151186d9a64c
hex9e2538a7e

42451831422 has 144 divisors (see below), whose sum is σ = 124432395360. Its totient is φ = 10178213760.

The previous prime is 42451831417. The next prime is 42451831517. The reversal of 42451831422 is 22413815424.

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 71 ways as a sum of consecutive naturals, for example, 91104 + ... + 305292.

Almost surely, 242451831422 is an apocalyptic number.

42451831422 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 42451831422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62216197680).

42451831422 is an abundant number, since it is smaller than the sum of its proper divisors (81980563938).

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

42451831422 is a wasteful number, since it uses less digits than its factorization.

42451831422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214239 (or 214225 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 42451831422 in words is "forty-two billion, four hundred fifty-one million, eight hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 22022 28314 33033 66066 99099 198198 214189 428378 642567 1285134 1499323 1927701 2356079 2784457 2998646 3855402 4497969 4712158 5568914 7068237 8353371 8995938 13493907 14136474 16492553 16706742 19491199 21204711 25060113 25916869 26987814 30629027 32985106 38982398 42409422 49477659 50120226 51833738 58473597 61258054 77750607 91887081 98955318 116947194 148432977 155501214 175420791 181418083 183774162 214403189 233251821 275661243 296865954 336919297 350841582 362836166 428806378 466503642 544254249 551322486 643209567 673838594 1010757891 1088508498 1286419134 1632762747 1929628701 2021515782 2358435079 3032273673 3265525494 3859257402 4716870158 6064547346 7075305237 14150610474 21225915711 42451831422