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42035231000 = 2353711875059
BaseRepresentation
bin100111001001011111…
…101011100100011000
311000111111200222120102
4213021133223210120
51142042004343000
631151040514532
73015446365610
oct471137534430
9130444628512
1042035231000
1116910879234
12819161ba48
133c6b913869
14206a9d7a40
1511605083d5
hex9c97eb918

42035231000 has 128 divisors (see below), whose sum is σ = 112531161600. Its totient is φ = 14397091200.

The previous prime is 42035230981. The next prime is 42035231003. The reversal of 42035231000 is 13253024.

It is a happy number.

It is a super-2 number, since 2×420352310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035231003) 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 31 ways as a sum of consecutive naturals, for example, 8306471 + ... + 8311529.

It is an arithmetic number, because the mean of its divisors is an integer number (879149700).

Almost surely, 242035231000 is an apocalyptic number.

42035231000 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 42035231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56265580800).

42035231000 is an abundant number, since it is smaller than the sum of its proper divisors (70495930600).

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

42035231000 is a wasteful number, since it uses less digits than its factorization.

42035231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 42035231000 its reverse (13253024), we get a palindrome (42048484024).

The spelling of 42035231000 in words is "forty-two billion, thirty-five million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1187 1400 1750 2374 3500 4748 5059 5935 7000 8309 9496 10118 11870 16618 20236 23740 25295 29675 33236 35413 40472 41545 47480 50590 59350 66472 70826 83090 101180 118700 126475 141652 148375 166180 177065 202360 207725 237400 252950 283304 296750 332360 354130 415450 505900 593500 632375 708260 830900 885325 1011800 1038625 1187000 1264750 1416520 1661800 1770650 2077250 2529500 3541300 4154500 4426625 5059000 6005033 7082600 8309000 8853250 12010066 17706500 24020132 30025165 35413000 42035231 48040264 60050330 84070462 120100660 150125825 168140924 210176155 240201320 300251650 336281848 420352310 600503300 750629125 840704620 1050880775 1201006600 1501258250 1681409240 2101761550 3002516500 4203523100 5254403875 6005033000 8407046200 10508807750 21017615500 42035231000