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230040244044 = 223213240194291
BaseRepresentation
bin1101011000111101110…
…1111000111101001100
3210222202220022012022200
43112033131320331030
512232110300302134
6253402400441500
722422416545302
oct3261735707514
9728686265280
10230040244044
11896177a2176
1238700019290
1318900b34c00
14b1c3a04272
155eb589c499
hex358f778f4c

230040244044 has 108 divisors (see below), whose sum is σ = 631238359752. Its totient is φ = 70604352000.

The previous prime is 230040244013. The next prime is 230040244051. The reversal of 230040244044 is 440442040032.

It is a happy number.

230040244044 is a `hidden beast` number, since 230 + 0 + 4 + 0 + 24 + 404 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230040243999 and 230040244017.

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 35 ways as a sum of consecutive naturals, for example, 2392539 + ... + 2486829.

Almost surely, 2230040244044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230040244044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315619179876).

230040244044 is an abundant number, since it is smaller than the sum of its proper divisors (401198115708).

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

230040244044 is a wasteful number, since it uses less digits than its factorization.

230040244044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94728 (or 94710 counting only the distinct ones).

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

Adding to 230040244044 its reverse (440442040032), we get a palindrome (670482284076).

The spelling of 230040244044 in words is "two hundred thirty billion, forty million, two hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 401 468 507 676 802 1014 1203 1521 1604 2028 2406 3042 3609 4812 5213 6084 7218 10426 14436 15639 20852 31278 46917 62556 67769 93834 94291 135538 187668 188582 203307 271076 282873 377164 406614 565746 609921 813228 848619 1131492 1219842 1225783 1697238 2439684 2451566 3394476 3677349 4903132 7354698 11032047 14709396 15935179 22064094 31870358 37810691 44128188 47805537 63740716 75621382 95611074 113432073 143416611 151242764 191222148 226864146 286833222 340296219 453728292 491538983 573666444 680592438 983077966 1361184876 1474616949 1966155932 2949233898 4423850847 5898467796 6390006779 8847701694 12780013558 17695403388 19170020337 25560027116 38340040674 57510061011 76680081348 115020122022 230040244044