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42404243400 = 23325223557913
BaseRepresentation
bin100111011111011111…
…010110011111001000
311001110020001202102100
4213133133112133020
51143320441242100
631251422033400
73030550056531
oct473737263710
9131406052370
1042404243400
1116a900a9762
128275118860
133cca1c57ac
1420a3a13688
151182aea400
hex9df7d67c8

42404243400 has 72 divisors (see below), whose sum is σ = 142407590130. Its totient is φ = 11307797760.

The previous prime is 42404243393. The next prime is 42404243423. The reversal of 42404243400 is 434240424.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18010176804 + 24394066596 = 134202^2 + 156186^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11777157 + ... + 11780756.

Almost surely, 242404243400 is an apocalyptic number.

42404243400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404243400 is an abundant number, since it is smaller than the sum of its proper divisors (100003346730).

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

42404243400 is a wasteful number, since it uses less digits than its factorization.

42404243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23557935 (or 23557923 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 42404243400 its reverse (434240424), we get a palindrome (42838483824).

The spelling of 42404243400 in words is "forty-two billion, four hundred four million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 23557913 47115826 70673739 94231652 117789565 141347478 188463304 212021217 235579130 282694956 353368695 424042434 471158260 565389912 588947825 706737390 848084868 942316520 1060106085 1177895650 1413474780 1696169736 1766843475 2120212170 2355791300 2826949560 3533686950 4240424340 4711582600 5300530425 7067373900 8480848680 10601060850 14134747800 21202121700 42404243400