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114420324030 = 23537229450137
BaseRepresentation
bin110101010001111111…
…0111001011010111110
3101221100011000200222220
41222203332321122332
53333313100332110
6124321452350210
711160304464345
oct1524376713276
9357304020886
10114420324030
1144586320a71
121a213175366
13aa3622795c
1457762acb5c
152e9a1e8370
hex1aa3fb96be

114420324030 has 64 divisors (see below), whose sum is σ = 283262840640. Its totient is φ = 29557730304.

The previous prime is 114420324019. The next prime is 114420324041. The reversal of 114420324030 is 30423024411.

It is an interprime number because it is at equal distance from previous prime (114420324019) and next prime (114420324041).

It is a super-2 number, since 2×1144203240302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29122 + ... + 479258.

It is an arithmetic number, because the mean of its divisors is an integer number (4425981885).

Almost surely, 2114420324030 is an apocalyptic number.

114420324030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114420324030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141631420320).

114420324030 is an abundant number, since it is smaller than the sum of its proper divisors (168842516610).

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

114420324030 is a wasteful number, since it uses less digits than its factorization.

114420324030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450413.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114420324030 its reverse (30423024411), we get a palindrome (144843348441).

The spelling of 114420324030 in words is "one hundred fourteen billion, four hundred twenty million, three hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 229 370 458 555 687 1110 1145 1374 2290 3435 6870 8473 16946 25419 42365 50838 84730 127095 254190 450137 900274 1350411 2250685 2700822 4501370 6752055 13504110 16655069 33310138 49965207 83275345 99930414 103081373 166550690 206162746 249826035 309244119 499652070 515406865 618488238 1030813730 1546220595 3092441190 3814010801 7628021602 11442032403 19070054005 22884064806 38140108010 57210162015 114420324030