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4335144221421 = 3213172578480777
BaseRepresentation
bin111111000101011010101…
…110110011101011101101
3120100102202122200011012200
4333011122232303223231
51032011333410041141
613115312053452113
7625126625613426
oct77053256635355
916312678604180
104335144221421
111421584994662
125a021b041039
13255a579a5920
1410db71bb064d
1577b78bd6ab6
hex3f15abb3aed

4335144221421 has 48 divisors (see below), whose sum is σ = 7168021411824. Its totient is φ = 2501082611712.

The previous prime is 4335144221383. The next prime is 4335144221431. The reversal of 4335144221421 is 1241224415334.

4335144221421 is a `hidden beast` number, since 4 + 3 + 3 + 5 + 1 + 4 + 4 + 221 + 421 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1499241069225 + 2835903152196 = 1224435^2 + 1684014^2 .

It is not a de Polignac number, because 4335144221421 - 215 = 4335144188653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4335144221431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3729216 + ... + 4751561.

It is an arithmetic number, because the mean of its divisors is an integer number (149333779413).

Almost surely, 24335144221421 is an apocalyptic number.

It is an amenable number.

4335144221421 is a deficient number, since it is larger than the sum of its proper divisors (2832877190403).

4335144221421 is a wasteful number, since it uses less digits than its factorization.

4335144221421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481070 (or 8481067 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 4335144221421 its reverse (1241224415334), we get a palindrome (5576368636755).

The spelling of 4335144221421 in words is "four trillion, three hundred thirty-five billion, one hundred forty-four million, two hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 257 663 771 1989 2313 3341 4369 10023 13107 30069 39321 56797 170391 511173 8480777 25442331 76326993 110250101 144173209 330750303 432519627 992250909 1297558881 1874251717 2179559689 5622755151 6538679067 16868265453 19616037201 28334275957 37052514713 85002827871 111157544139 255008483613 333472632417 481682691269 1445048073807 4335144221421