Search a number
-
+
240215334312141 = 3418147843342467
BaseRepresentation
bin110110100111100101111101…
…101010111101100011001101
31011111112100202200001112010000
4312213211331222331203031
5222441142001040442031
62210521222351234513
7101411661630002616
oct6647457552754315
91144470680045100
10240215334312141
116a5a3829900261
1222b37411518a39
13a406293a44296
1443466ac98ac0d
151cb88435803e6
hexda797dabd8cd

240215334312141 has 40 divisors (see below), whose sum is σ = 360831328681824. Its totient is φ = 159254991375840.

The previous prime is 240215334312137. The next prime is 240215334312169. The reversal of 240215334312141 is 141213433512042.

240215334312141 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 1 + 5 + 3 + 3 + 431 + 214 + 1 = 666.

It is not a de Polignac number, because 240215334312141 - 22 = 240215334312137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240215334312096 and 240215334312105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240215334312641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 701254990 + ... + 701597456.

Almost surely, 2240215334312141 is an apocalyptic number.

It is an amenable number.

240215334312141 is a deficient number, since it is larger than the sum of its proper divisors (120615994369683).

240215334312141 is a wasteful number, since it uses less digits than its factorization.

240215334312141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390503 (or 390494 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 240215334312141 its reverse (141213433512042), we get a palindrome (381428767824183).

The spelling of 240215334312141 in words is "two hundred forty trillion, two hundred fifteen billion, three hundred thirty-four million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 181 543 1629 4887 14661 47843 143529 342467 430587 1027401 1291761 3082203 3875283 8659583 9246609 25978749 27739827 61986527 77936247 185959581 233808741 557878743 701426223 1673636229 5020908687 16384648681 49153946043 147461838129 442385514387 1327156543161 2965621411261 8896864233783 26690592701349 80071778104047 240215334312141