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42031231000 = 2353115996379
BaseRepresentation
bin100111001001010000…
…011011000000011000
311000111020011202121021
4213021100123000120
51142034443343000
631150415052224
73015400366033
oct471120330030
9130436152537
1042031231000
1116909596a50
128190211074
133c6ab42cb5
14206a27601a
15115eeb811a
hex9c941b018

42031231000 has 128 divisors (see below), whose sum is σ = 107490240000. Its totient is φ = 15256176000.

The previous prime is 42031230947. The next prime is 42031231013. The reversal of 42031231000 is 13213024.

It is a happy number.

It is a super-2 number, since 2×420312310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6585811 + ... + 6592189.

It is an arithmetic number, because the mean of its divisors is an integer number (839767500).

Almost surely, 242031231000 is an apocalyptic number.

42031231000 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 42031231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53745120000).

42031231000 is an abundant number, since it is smaller than the sum of its proper divisors (65459009000).

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

42031231000 is a wasteful number, since it uses less digits than its factorization.

42031231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42031231000 its reverse (13213024), we get a palindrome (42044444024).

The spelling of 42031231000 in words is "forty-two billion, thirty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 599 1000 1100 1198 1375 2200 2396 2750 2995 4792 5500 5990 6379 6589 11000 11980 12758 13178 14975 23960 25516 26356 29950 31895 32945 51032 52712 59900 63790 65890 70169 74875 119800 127580 131780 140338 149750 159475 164725 255160 263560 280676 299500 318950 329450 350845 561352 599000 637900 658900 701690 797375 823625 1275800 1317800 1403380 1594750 1647250 1754225 2806760 3189500 3294500 3508450 3821021 6379000 6589000 7016900 7642042 8771125 14033800 15284084 17542250 19105105 30568168 35084500 38210210 42031231 70169000 76420420 84062462 95525525 152840840 168124924 191051050 210156155 336249848 382102100 420312310 477627625 764204200 840624620 955255250 1050780775 1681249240 1910510500 2101561550 3821021000 4203123100 5253903875 8406246200 10507807750 21015615500 42031231000