Search a number
-
+
42364031000 = 2353251168781
BaseRepresentation
bin100111011101000101…
…111101000000011000
311001100102101202101012
4213131011331000120
51143230142443000
631243424113052
73026551215314
oct473505750030
9131312352335
1042364031000
1116a6a433575
128263765788
133cc1a86385
14209c546b44
15117e305735
hex9dd17d018

42364031000 has 64 divisors (see below), whose sum is σ = 99527369760. Its totient is φ = 16878000000.

The previous prime is 42364030987. The next prime is 42364031023. The reversal of 42364031000 is 13046324.

It is a happy number.

It is a super-2 number, since 2×423640310002 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166610 + ... + 335390.

Almost surely, 242364031000 is an apocalyptic number.

42364031000 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 42364031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49763684880).

42364031000 is an abundant number, since it is smaller than the sum of its proper divisors (57163338760).

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

42364031000 is a wasteful number, since it uses less digits than its factorization.

42364031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169053 (or 169039 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 42364031000 its reverse (13046324), we get a palindrome (42377077324).

The spelling of 42364031000 in words is "forty-two billion, three hundred sixty-four million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 251 500 502 1000 1004 1255 2008 2510 5020 6275 10040 12550 25100 31375 50200 62750 125500 168781 251000 337562 675124 843905 1350248 1687810 3375620 4219525 6751240 8439050 16878100 21097625 33756200 42195250 42364031 84390500 84728062 168781000 169456124 211820155 338912248 423640310 847280620 1059100775 1694561240 2118201550 4236403100 5295503875 8472806200 10591007750 21182015500 42364031000