Search a number
-
+
115251251523340 = 225372272261330341
BaseRepresentation
bin11010001101001000000101…
…111010000010111100001100
3120010001220121212201201220211
4122031020011322002330030
5110101234030342221330
61045041405524252204
733163425311140612
oct3215100572027414
9503056555651824
10115251251523340
11337a4865988a09
1210b1456ab41064
134c401b97b865a
1420662943db6b2
15d4ce39a64d2a
hex68d205e82f0c

115251251523340 has 96 divisors (see below), whose sum is σ = 249683202385344. Its totient is φ = 44653497431040.

The previous prime is 115251251523311. The next prime is 115251251523367. The reversal of 115251251523340 is 43325152152511.

It is a junction number, because it is equal to n+sod(n) for n = 115251251523293 and 115251251523302.

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, 3798516570 + ... + 3798546910.

It is an arithmetic number, because the mean of its divisors is an integer number (2600866691514).

Almost surely, 2115251251523340 is an apocalyptic number.

115251251523340 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 115251251523340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124841601192672).

115251251523340 is an abundant number, since it is smaller than the sum of its proper divisors (134431950862004).

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

115251251523340 is a wasteful number, since it uses less digits than its factorization.

115251251523340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53227 (or 53225 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 115251251523340 in words is "one hundred fifteen trillion, two hundred fifty-one billion, two hundred fifty-one million, five hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 227 370 454 740 908 1135 2270 4540 8399 16798 22613 30341 33596 41995 45226 60682 83990 90452 113065 121364 151705 167980 226130 303410 452260 606820 836681 1122617 1673362 2245234 3346724 4183405 4490468 5133151 5613085 6887407 8366810 10266302 11226170 13774814 16733620 20532604 22452340 25665755 27549628 34437035 51331510 68874070 102663020 137748140 189926587 254834059 379853174 509668118 686101033 759706348 949632935 1019336236 1274170295 1372202066 1899265870 2548340590 2744404132 3430505165 3798531740 5096681180 6861010330 13722020660 25385738221 50771476442 101542952884 126928691105 155744934491 253857382210 311489868982 507714764420 622979737964 778724672455 1557449344910 3114898689820 5762562576167 11525125152334 23050250304668 28812812880835 57625625761670 115251251523340