Search a number
-
+
42444600600 = 2335270741001
BaseRepresentation
bin100111100001111001…
…010011010100011000
311001120001000010002110
4213201321103110120
51143411304204400
631255423032320
73031550103153
oct474171232430
9131501003073
1042444600600
1117000963716
12828673b6a0
134005685aac
1420a911ac9a
15118641ce50
hex9e1e53518

42444600600 has 48 divisors (see below), whose sum is σ = 131578263720. Its totient is φ = 11318560000.

The previous prime is 42444600589. The next prime is 42444600659. The reversal of 42444600600 is 600644424.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35369901 + ... + 35371100.

Almost surely, 242444600600 is an apocalyptic number.

42444600600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42444600600 is an abundant number, since it is smaller than the sum of its proper divisors (89133663120).

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

42444600600 is a wasteful number, since it uses less digits than its factorization.

42444600600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70741020 (or 70741011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 42444600600 in words is "forty-two billion, four hundred forty-four million, six hundred thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 70741001 141482002 212223003 282964004 353705005 424446006 565928008 707410010 848892012 1061115015 1414820020 1697784024 1768525025 2122230030 2829640040 3537050050 4244460060 5305575075 7074100100 8488920120 10611150150 14148200200 21222300300 42444600600