Search a number
-
+
204323412540 = 223513614294313
BaseRepresentation
bin1011111001001010011…
…1111101101000111100
3201112101122112210112210
42332102213331220330
511321423243200130
6233510451500420
720522216231202
oct2762247755074
9645348483483
10204323412540
1179720270015
12337235b7710
1316362c48150
149c64381072
1554accd05b0
hex2f929fda3c

204323412540 has 96 divisors (see below), whose sum is σ = 626214044736. Its totient is φ = 49470474240.

The previous prime is 204323412497. The next prime is 204323412563. The reversal of 204323412540 is 45214323402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204323412498 and 204323412507.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2099577 + ... + 2194736.

It is an arithmetic number, because the mean of its divisors is an integer number (6523062966).

Almost surely, 2204323412540 is an apocalyptic number.

204323412540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204323412540 is an abundant number, since it is smaller than the sum of its proper divisors (421890632196).

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

204323412540 is a wasteful number, since it uses less digits than its factorization.

204323412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294399 (or 4294397 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 204323412540 its reverse (45214323402), we get a palindrome (249537735942).

The spelling of 204323412540 in words is "two hundred four billion, three hundred twenty-three million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 3172 3660 3965 4758 7930 9516 11895 15860 23790 47580 4294313 8588626 12882939 17177252 21471565 25765878 42943130 51531756 55826069 64414695 85886260 111652138 128829390 167478207 223304276 257658780 261953093 279130345 334956414 523906186 558260690 669912828 785859279 837391035 1047812372 1116521380 1309765465 1571718558 1674782070 2619530930 3143437116 3349564140 3405390209 3929296395 5239061860 6810780418 7858592790 10216170627 13621560836 15717185580 17026951045 20432341254 34053902090 40864682508 51080853135 68107804180 102161706270 204323412540