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424311234141204 = 223211786423170589
BaseRepresentation
bin110000001111010001010100…
…0011000101001110000010100
32001122100202110110100212001200
41200132202220120221300110
5421103403401420004304
64102233520122552500
7155242321635350214
oct14036425030516024
92048322413325050
10424311234141204
111132204249a1113
123b70a439968730
131529b4baa32637
1476acab7d66244
15340c497a1ce39
hex181e8a8629c14

424311234141204 has 18 divisors (see below), whose sum is σ = 1072564508523690. Its totient is φ = 141437078047056.

The previous prime is 424311234141167. The next prime is 424311234141253. The reversal of 424311234141204 is 402141432113424.

424311234141204 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 1 + 1 + 234 + 1 + 412 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216236436800400 + 208074797340804 = 14704980^2 + 14424798^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11786423170589 = 424311234141204 / (4 + 2 + 4 + 3 + 1 + 1 + 2 + 3 + 4 + 1 + 4 + 1 + 2 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5893211585259 + ... + 5893211585330.

It is an arithmetic number, because the mean of its divisors is an integer number (59586917140205).

Almost surely, 2424311234141204 is an apocalyptic number.

It is an amenable number.

424311234141204 is an abundant number, since it is smaller than the sum of its proper divisors (648253274382486).

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

424311234141204 is a wasteful number, since it uses less digits than its factorization.

424311234141204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786423170599 (or 11786423170594 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 424311234141204 its reverse (402141432113424), we get a palindrome (826452666254628).

The spelling of 424311234141204 in words is "four hundred twenty-four trillion, three hundred eleven billion, two hundred thirty-four million, one hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 11786423170589 23572846341178 35359269511767 47145692682356 70718539023534 106077808535301 141437078047068 212155617070602 424311234141204