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42300142000 = 245373289727
BaseRepresentation
bin100111011001010010…
…001111000110110000
311001011222011212010221
4213121102033012300
51143112314021000
631233222502424
73025144163104
oct473122170660
9131158155127
1042300142000
1116a37366846
128246294a14
133cb177722c
142093c75904
1511788d561a
hex9d948f1b0

42300142000 has 80 divisors (see below), whose sum is σ = 103683220992. Its totient is φ = 16688217600.

The previous prime is 42300141991. The next prime is 42300142009. The reversal of 42300142000 is 24100324.

It is an interprime number because it is at equal distance from previous prime (42300141991) and next prime (42300142009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42300142009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 290863.

Almost surely, 242300142000 is an apocalyptic number.

42300142000 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 42300142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51841610496).

42300142000 is an abundant number, since it is smaller than the sum of its proper divisors (61383078992).

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

42300142000 is a wasteful number, since it uses less digits than its factorization.

42300142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289823 (or 289807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42300142000 its reverse (24100324), we get a palindrome (42324242324).

The spelling of 42300142000 in words is "forty-two billion, three hundred million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 146000 289727 579454 1158908 1448635 2317816 2897270 4635632 5794540 7243175 11589080 14486350 21150071 23178160 28972700 36215875 42300142 57945400 72431750 84600284 105750355 115890800 144863500 169200568 211500710 289727000 338401136 423001420 528751775 579454000 846002840 1057503550 1692005680 2115007100 2643758875 4230014200 5287517750 8460028400 10575035500 21150071000 42300142000