Search a number
-
+
351144343304034 = 2378360579602477
BaseRepresentation
bin100111111010111010010100…
…1110110001111011101100010
31201001022001221000220212021120
41033311310221312033131202
5332011122103341212114
63242453252342033110
7133651225112621430
oct11765645166173542
91631261830825246
10351144343304034
11a1981530532205
1233472162118796
13120c1a007574a7
14629d696871d50
152a8e10bde15a9
hex13f5d29d8f762

351144343304034 has 16 divisors (see below), whose sum is σ = 802615641837888. Its totient is φ = 100326955229712.

The previous prime is 351144343304003. The next prime is 351144343304059. The reversal of 351144343304034 is 430403343441153.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 8360579602477 = 351144343304034 / (3 + 5 + 1 + 1 + 4 + 4 + 3 + 4 + 3 + 3 + 0 + 4 + 0 + 3 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4180289801197 + ... + 4180289801280.

It is an arithmetic number, because the mean of its divisors is an integer number (50163477614868).

Almost surely, 2351144343304034 is an apocalyptic number.

351144343304034 is an abundant number, since it is smaller than the sum of its proper divisors (451471298533854).

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

351144343304034 is a wasteful number, since it uses less digits than its factorization.

351144343304034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360579602489.

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 351144343304034 its reverse (430403343441153), we get a palindrome (781547686745187).

The spelling of 351144343304034 in words is "three hundred fifty-one trillion, one hundred forty-four billion, three hundred forty-three million, three hundred four thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 8360579602477 16721159204954 25081738807431 50163477614862 58524057217339 117048114434678 175572171652017 351144343304034