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115141133640 = 233513241306259
BaseRepresentation
bin110101100111011110…
…0100100010101001000
3102000012101100121220010
41223032330210111020
53341302112234030
6124521202031520
711214206326161
oct1531674442510
9360171317803
10115141133640
1144916193995
121a3946485a0
13ab1c671b10
145803d02768
152edd62b6b0
hex1acef24548

115141133640 has 128 divisors (see below), whose sum is σ = 373539196800. Its totient is φ = 28224737280.

The previous prime is 115141133633. The next prime is 115141133683. The reversal of 115141133640 is 46331141511.

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 = 115141133598 and 115141133607.

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, 222831 + ... + 529089.

It is an arithmetic number, because the mean of its divisors is an integer number (2918274975).

Almost surely, 2115141133640 is an apocalyptic number.

115141133640 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 115141133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186769598400).

115141133640 is an abundant number, since it is smaller than the sum of its proper divisors (258398063160).

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

115141133640 is a wasteful number, since it uses less digits than its factorization.

115141133640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306527 (or 306523 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 115141133640 in words is "one hundred fifteen billion, one hundred forty-one million, one hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 241 260 312 390 482 520 723 780 964 1205 1446 1560 1928 2410 2892 3133 3615 4820 5784 6266 7230 9399 9640 12532 14460 15665 18798 25064 28920 31330 37596 46995 62660 75192 93990 125320 187980 306259 375960 612518 918777 1225036 1531295 1837554 2450072 3062590 3675108 3981367 4593885 6125180 7350216 7962734 9187770 11944101 12250360 15925468 18375540 19906835 23888202 31850936 36751080 39813670 47776404 59720505 73808419 79627340 95552808 119441010 147616838 159254680 221425257 238882020 295233676 369042095 442850514 477764040 590467352 738084190 885701028 959509447 1107126285 1476168380 1771402056 1919018894 2214252570 2878528341 2952336760 3838037788 4428505140 4797547235 5757056682 7676075576 8857010280 9595094470 11514113364 14392641705 19190188940 23028226728 28785283410 38380377880 57570566820 115141133640