Search a number
-
+
115155434015145 = 33529143920440517
BaseRepresentation
bin11010001011101110110110…
…101111010000100110101001
3120002201202022012011222211000
4122023232312233100212221
5110043201312101441040
61044525402010425213
733153464001563016
oct3213566657204651
9502652265158730
10115155434015145
1133768166450907
1210ab9a89a32209
134c34159664744
1420617a4a3670d
15d4a6ccaec130
hex68bbb6bd09a9

115155434015145 has 64 divisors (see below), whose sum is σ = 211927290624000. Its totient is φ = 59257219408128.

The previous prime is 115155434015143. The next prime is 115155434015159. The reversal of 115155434015145 is 541510434551511.

115155434015145 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 55 + 43 + 40 + 1 + 514 + 5 = 666.

It is not a de Polignac number, because 115155434015145 - 21 = 115155434015143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 115155434015145.

It is not an unprimeable number, because it can be changed into a prime (115155434015143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4586574 + ... + 15853943.

It is an arithmetic number, because the mean of its divisors is an integer number (3311363916000).

Almost surely, 2115155434015145 is an apocalyptic number.

115155434015145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115155434015145 is a deficient number, since it is larger than the sum of its proper divisors (96771856608855).

115155434015145 is a wasteful number, since it uses less digits than its factorization.

115155434015145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20441999 (or 20441993 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 45.

Adding to 115155434015145 its reverse (541510434551511), we get a palindrome (656665868566656).

The spelling of 115155434015145 in words is "one hundred fifteen trillion, one hundred fifty-five billion, four hundred thirty-four million, fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1305 1439 3915 4317 7195 12951 21585 38853 41731 64755 125193 194265 208655 375579 625965 1126737 1877895 5633685 20440517 61321551 102202585 183964653 306607755 551893959 592774993 919823265 1778324979 2759469795 2963874965 5334974937 8891624895 16004924811 26674874685 29413903963 80024624055 88241711889 147069519815 264725135667 441208559445 794175407001 853003214927 1323625678335 2559009644781 3970877035005 4265016074635 7677028934343 12795048223905 23031086803029 38385144671715 115155434015145