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4202314321401 = 34725728838479
BaseRepresentation
bin111101001001101101011…
…100111100110111111001
3112212201220111210002120000
4331021231130330313321
51022322314431241101
612534303324023213
7612415160236620
oct75115534746771
915781814702500
104202314321401
111380211975789
1257a52a691b09
13246379735551
1410757093a6b7
15744a26ce486
hex3d26d73cdf9

4202314321401 has 40 divisors (see below), whose sum is σ = 7202237349120. Its totient is φ = 2391978719232.

The previous prime is 4202314321391. The next prime is 4202314321421. The reversal of 4202314321401 is 1041234132024.

4202314321401 is a `hidden beast` number, since 4 + 2 + 0 + 231 + 4 + 3 + 21 + 401 = 666.

4202314321401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4202314321401 - 213 = 4202314313209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4202314321421) 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, 14273521 + ... + 14564958.

It is an arithmetic number, because the mean of its divisors is an integer number (180055933728).

Almost surely, 24202314321401 is an apocalyptic number.

It is an amenable number.

4202314321401 is a deficient number, since it is larger than the sum of its proper divisors (2999923027719).

4202314321401 is a wasteful number, since it uses less digits than its factorization.

4202314321401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28838755 (or 28838746 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4202314321401 its reverse (1041234132024), we get a palindrome (5243548453425).

It can be divided in two parts, 420231 and 4321401, that added together give a cube (4741632 = 1683).

The spelling of 4202314321401 in words is "four trillion, two hundred two billion, three hundred fourteen million, three hundred twenty-one thousand, four hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 257 567 771 1799 2313 5397 6939 16191 20817 48573 145719 28838479 86515437 201869353 259546311 605608059 778638933 1816824177 2335916799 5450472531 7411489103 16351417593 22234467309 51880423721 66703401927 155641271163 200110205781 466923813489 600330617343 1400771440467 4202314321401