Search a number
-
+
233440114132440 = 23325823877870717
BaseRepresentation
bin110101000101000000000011…
…000101000100010111011000
31010121112122201220222112021100
4311011000003011010113120
5221044140323204214230
62144252524041311400
7100112330434455435
oct6505000305042730
91117478656875240
10233440114132440
116842143a724946
1222222311a95560
13a03440146cba7
1441907c1866b8c
151bec4a69d4660
hexd450031445d8

233440114132440 has 96 divisors (see below), whose sum is σ = 758689676063280. Its totient is φ = 62249933604096.

The previous prime is 233440114132403. The next prime is 233440114132481. The reversal of 233440114132440 is 44231411044332.

233440114132440 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 40 + 1 + 141 + 32 + 440 = 666.

It is a super-2 number, since 2×2334401141324402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233440114132395 and 233440114132404.

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 23 ways as a sum of consecutive naturals, for example, 25723962 + ... + 33594678.

Almost surely, 2233440114132440 is an apocalyptic number.

233440114132440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233440114132440 is an abundant number, since it is smaller than the sum of its proper divisors (525249561930840).

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

233440114132440 is a wasteful number, since it uses less digits than its factorization.

233440114132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953121 (or 7953114 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 233440114132440 its reverse (44231411044332), we get a palindrome (277671525176772).

The spelling of 233440114132440 in words is "two hundred thirty-three trillion, four hundred forty billion, one hundred fourteen million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 82387 164774 247161 329548 411935 494322 659096 741483 823870 988644 1235805 1482966 1647740 1977288 2471610 2965932 3295480 3707415 4943220 5931864 7414830 7870717 9886440 14829660 15741434 23612151 29659320 31482868 39353585 47224302 62965736 70836453 78707170 94448604 118060755 141672906 157414340 188897208 236121510 283345812 314828680 354182265 472243020 566691624 708364530 944486040 1416729060 2833458120 648444761479 1296889522958 1945334284437 2593779045916 3242223807395 3890668568874 5187558091832 5836002853311 6484447614790 7781337137748 9726671422185 11672005706622 12968895229580 15562674275496 19453342844370 23344011413244 25937790459160 29180014266555 38906685688740 46688022826488 58360028533110 77813371377480 116720057066220 233440114132440