Search a number
-
+
242404100310099 = 37138113200334211
BaseRepresentation
bin110111000111011100011010…
…010010101000010001010011
31011210021121100112102121212210
4313013130122102220101103
5223233022044134410344
62215314523434523203
7102026055403010310
oct6707343222502123
91153247315377783
10242404100310099
1170268002188232
122322b656896503
13a5347bb06c420
1443c05c7537d07
151d0574861ddb9
hexdc771a4a8453

242404100310099 has 64 divisors (see below), whose sum is σ = 398305926402048. Its totient is φ = 127696121308800.

The previous prime is 242404100310089. The next prime is 242404100310131. The reversal of 242404100310099 is 990013001404242.

It is not a de Polignac number, because 242404100310099 - 28 = 242404100309843 is a prime.

It is a super-2 number, since 2×2424041003100992 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (242404100310019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7085543104 + ... + 7085577314.

It is an arithmetic number, because the mean of its divisors is an integer number (6223530100032).

Almost surely, 2242404100310099 is an apocalyptic number.

242404100310099 is a deficient number, since it is larger than the sum of its proper divisors (155901826091949).

242404100310099 is a wasteful number, since it uses less digits than its factorization.

242404100310099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67048.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 242404100310099 in words is "two hundred forty-two trillion, four hundred four billion, one hundred million, three hundred ten thousand, ninety-nine".

Divisors: 1 3 7 13 21 39 91 273 811 2433 5677 10543 17031 31629 32003 34211 73801 96009 102633 221403 224021 239477 416039 444743 672063 718431 1248117 1334229 2912273 3113201 8736819 9339603 25954433 27745121 77863299 83235363 181681031 194215847 337407629 360686573 545043093 582647541 1012222887 1082059719 1094854633 2361853403 2524806011 3284563899 7085560209 7574418033 7663982431 14233110229 22991947293 42699330687 99631771603 298895314809 887927107363 2663781322089 6215489751541 11543052395719 18646469254623 34629157187157 80801366770033 242404100310099