Search a number
-
+
20442141230 = 2571925913711
BaseRepresentation
bin10011000010011100…
…100101001000101110
31221202122111100222212
4103002130211020232
5313331142004410
613220242010422
71322401222250
oct230234451056
957678440885
1020442141230
1187400682a5
123b66046a12
131c0a182574
14dbccd9cd0
157e99a5b05
hex4c272522e

20442141230 has 96 divisors (see below), whose sum is σ = 45137710080. Its totient is φ = 6526837440.

The previous prime is 20442141229. The next prime is 20442141257. The reversal of 20442141230 is 3214124402.

It is a super-2 number, since 2×204421412302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20442141196 and 20442141205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1484075 + ... + 1497785.

It is an arithmetic number, because the mean of its divisors is an integer number (470184480).

Almost surely, 220442141230 is an apocalyptic number.

20442141230 is an abundant number, since it is smaller than the sum of its proper divisors (24695568850).

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

20442141230 is a wasteful number, since it uses less digits than its factorization.

20442141230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822 (or 13803 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20442141230 its reverse (3214124402), we get a palindrome (23656265632).

The spelling of 20442141230 in words is "twenty billion, four hundred forty-two million, one hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 59 70 95 118 133 190 266 295 361 413 590 665 722 826 1121 1330 1805 2065 2242 2527 3610 4130 5054 5605 7847 11210 12635 13711 15694 21299 25270 27422 39235 42598 68555 78470 95977 106495 137110 149093 191954 212990 260509 298186 479885 521018 745465 808949 959770 1302545 1490930 1617898 1823563 2605090 3647126 4044745 4949671 5662643 8089490 9117815 9899342 11325286 15370031 18235630 24748355 28313215 30740062 34647697 49496710 56626430 69295394 76850155 107590217 153700310 173238485 215180434 292030589 346476970 537951085 584061178 1075902170 1460152945 2044214123 2920305890 4088428246 10221070615 20442141230