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42232141101200 = 2452743147196601
BaseRepresentation
bin10011001101000111011111…
…10001001011100010010000
312112112100112112012122211112
421212203233301023202100
521013412411110214300
6225453102222432452
711616112553254151
oct1146435761134220
9175470475178745
1042232141101200
1112502606731106
1248a0a56732728
131a74620c91a7b
14a6009199d928
154d384cc2ce35
hex2668efc4b890

42232141101200 has 120 divisors (see below), whose sum is σ = 101669397789696. Its totient is φ = 16858477440000.

The previous prime is 42232141101193. The next prime is 42232141101223. The reversal of 42232141101200 is 210114123224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437132900 + ... + 437229500.

Almost surely, 242232141101200 is an apocalyptic number.

42232141101200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232141101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50834698894848).

42232141101200 is an abundant number, since it is smaller than the sum of its proper divisors (59437256688496).

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

42232141101200 is a wasteful number, since it uses less digits than its factorization.

42232141101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98833 (or 98822 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 42232141101200 its reverse (210114123224), we get a palindrome (42442255224424).

The spelling of 42232141101200 in words is "forty-two trillion, two hundred thirty-two billion, one hundred forty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 743 1471 1486 2942 2972 3715 5884 5944 7355 7430 11768 11888 14710 14860 18575 23536 29420 29720 36775 37150 58840 59440 73550 74300 96601 117680 147100 148600 193202 294200 297200 386404 483005 588400 772808 966010 1092953 1545616 1932020 2185906 2415025 3864040 4371812 4830050 5464765 7728080 8743624 9660100 10929530 17487248 19320200 21859060 27323825 38640400 43718120 54647650 71774543 87436240 109295300 142100071 143549086 218590600 284200142 287098172 358872715 437181200 568400284 574196344 710500355 717745430 1136800568 1148392688 1421000710 1435490860 1794363575 2273601136 2842001420 2870981720 3552501775 3588727150 5684002840 5741963440 7105003550 7177454300 11368005680 14210007100 14354908600 28420014200 28709817200 56840028400 105580352753 211160705506 422321411012 527901763765 844642822024 1055803527530 1689285644048 2111607055060 2639508818825 4223214110120 5279017637650 8446428220240 10558035275300 21116070550600 42232141101200