Search a number
-
+
303231434213340 = 2232517234308488693
BaseRepresentation
bin100010011110010011001000…
…1111010111100011111011100
31110202122122100000112001000100
41010330212101322330133130
5304221120434124311330
62552530333042101100
7120604514422210053
oct10474462172743734
91422578300461010
10303231434213340
1188689802428106
122a01434994a790
13100277a87b6409
1454c46a051539a
15250cb2b003060
hex113c991ebc7dc

303231434213340 has 144 divisors (see below), whose sum is σ = 1016251845231168. Its totient is φ = 72796224940032.

The previous prime is 303231434213287. The next prime is 303231434213371. The reversal of 303231434213340 is 43312434132303.

303231434213340 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 3 + 1 + 434 + 213 + 3 + 4 + 0 = 666.

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 = 303231434213295 and 303231434213304.

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, 2154173967 + ... + 2154314726.

It is an arithmetic number, because the mean of its divisors is an integer number (7057304480772).

Almost surely, 2303231434213340 is an apocalyptic number.

303231434213340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

303231434213340 is an abundant number, since it is smaller than the sum of its proper divisors (713020411017828).

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

303231434213340 is a wasteful number, since it uses less digits than its factorization.

303231434213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308488748 (or 4308488743 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 303231434213340 its reverse (43312434132303), we get a palindrome (346543868345643).

The spelling of 303231434213340 in words is "three hundred three trillion, two hundred thirty-one billion, four hundred thirty-four million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 7038 7820 11730 14076 17595 23460 35190 70380 4308488693 8616977386 12925466079 17233954772 21542443465 25850932158 38776398237 43084886930 51701864316 64627330395 73244307781 77552796474 86169773860 99095239939 129254660790 146488615562 155105592948 193881991185 198190479878 219732923343 258509321580 292977231124 297285719817 366221538905 387763982370 396380959756 439465846686 495476199695 594571439634 659198770029 732443077810 775527964740 878931693372 891857159451 990952399390 1098664616715 1189142879268 1318397540058 1464886155620 1486428599085 1684619078963 1783714318902 1981904798780 2197329233430 2636795080116 2972857198170 3295993850145 3369238157926 3567428637804 4394658466860 4459285797255 5053857236889 5945714396340 6591987700290 6738476315852 8423095394815 8918571594510 10107714473778 13183975400580 15161571710667 16846190789630 17837143189020 20215428947556 25269286184445 30323143421334 33692381579260 50538572368890 60646286842668 75807858553335 101077144737780 151615717106670 303231434213340