Search a number
-
+
115153341040520 = 235171201302346643
BaseRepresentation
bin11010001011101100111001…
…111111001100011110001000
3120002201112220022212212101022
4122023230321333030132020
5110043133020301244040
61044524414203012012
733153361065566126
oct3213547177143610
9502645808785338
10115153341040520
1133767291a81012
1210ab95a4b0a008
134c33bb4b66513
142061646a98916
15d4a608ec16b5
hex68bb39fcc788

115153341040520 has 128 divisors (see below), whose sum is σ = 274661037181440. Its totient is φ = 43300492492800.

The previous prime is 115153341040459. The next prime is 115153341040567. The reversal of 115153341040520 is 25040143351511.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2468800319 + ... + 2468846961.

It is an arithmetic number, because the mean of its divisors is an integer number (2145789352980).

Almost surely, 2115153341040520 is an apocalyptic number.

115153341040520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115153341040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137330518590720).

115153341040520 is an abundant number, since it is smaller than the sum of its proper divisors (159507696140920).

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

115153341040520 is a wasteful number, since it uses less digits than its factorization.

115153341040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50895 (or 50891 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 115153341040520 in words is "one hundred fifteen trillion, one hundred fifty-three billion, three hundred forty-one million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1201 2402 3023 4804 6005 6046 9608 12010 12092 15115 20417 24020 24184 30230 40834 46643 48040 51391 60460 81668 93286 102085 102782 120920 163336 186572 204170 205564 233215 256955 373144 408340 411128 466430 513910 792931 816680 932860 1027820 1585862 1865720 2055640 3171724 3630623 3964655 6343448 7261246 7929310 14522492 15858620 18153115 29044984 31717240 36306230 56018243 61720591 72612460 112036486 123441182 141001789 145224920 224072972 246882364 280091215 282003578 308602955 448145944 493764728 560182430 564007156 617205910 705008945 952310131 1120364860 1128014312 1234411820 1410017890 1904620262 2240729720 2397030413 2468823640 2820035780 3809240524 4761550655 4794060826 5640071560 7618481048 9523101310 9588121652 11985152065 19046202620 19176243304 23970304130 38092405240 47940608260 95881216520 169343148589 338686297178 677372594356 846715742945 1354745188712 1693431485890 2878833526013 3386862971780 5757667052026 6773725943560 11515334104052 14394167630065 23030668208104 28788335260130 57576670520260 115153341040520