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2124434240334 = 2357624466267
BaseRepresentation
bin11110111010100010001…
…001011111001101001110
321112002112110211012200000
4132322202021133031032
5234301320131142314
64303541314345130
7306325314044610
oct36724211371516
97462473735600
102124434240334
11749a7082133a
122a389088b1a6
1312544430c793
1474b74aa4db0
153a3dc3d2209
hex1eea225f34e

2124434240334 has 48 divisors (see below), whose sum is σ = 5455337317248. Its totient is φ = 606981210552.

The previous prime is 2124434240329. The next prime is 2124434240339. The reversal of 2124434240334 is 4330424344212.

2124434240334 is a `hidden beast` number, since 2 + 1 + 244 + 3 + 4 + 2 + 403 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2124434240329) and next prime (2124434240339).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124434240339) 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 23 ways as a sum of consecutive naturals, for example, 312229732 + ... + 312236535.

It is an arithmetic number, because the mean of its divisors is an integer number (113652860776).

Almost surely, 22124434240334 is an apocalyptic number.

2124434240334 is an abundant number, since it is smaller than the sum of its proper divisors (3330903076914).

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

2124434240334 is an equidigital number, since it uses as much as digits as its factorization.

2124434240334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624466291 (or 624466279 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2124434240334 its reverse (4330424344212), we get a palindrome (6454858584546).

The spelling of 2124434240334 in words is "two trillion, one hundred twenty-four billion, four hundred thirty-four million, two hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 624466267 1248932534 1873398801 3746797602 4371263869 5620196403 8742527738 11240392806 13113791607 16860589209 26227583214 33721178418 39341374821 50581767627 78682749642 101163535254 118024124463 151745302881 236048248926 303490605762 354072373389 708144746778 1062217120167 2124434240334