Search a number
-
+
1424120031198 = 2322335359316433
BaseRepresentation
bin10100101110010100001…
…010110010011111011110
312001010220101002100000200
4110232110022302133132
5141313044211444243
63010122014404330
7204614010351504
oct24562412623736
95033811070020
101424120031198
114a9a696a3777
121b0006b006a6
13a43a8a3b397
144ccdbb6c674
15270a0960ad3
hex14b942b27de

1424120031198 has 96 divisors (see below), whose sum is σ = 3234512533824. Its totient is φ = 451989897216.

The previous prime is 1424120031193. The next prime is 1424120031209. The reversal of 1424120031198 is 8911300214241.

1424120031198 is a `hidden beast` number, since 1 + 424 + 12 + 0 + 0 + 31 + 198 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424120031193) 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, 86653990 + ... + 86670422.

It is an arithmetic number, because the mean of its divisors is an integer number (33692838894).

Almost surely, 21424120031198 is an apocalyptic number.

1424120031198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424120031198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617256266912).

1424120031198 is an abundant number, since it is smaller than the sum of its proper divisors (1810392502626).

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

1424120031198 is a wasteful number, since it uses less digits than its factorization.

1424120031198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17410 (or 17407 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1424120031198 in words is "one trillion, four hundred twenty-four billion, one hundred twenty million, thirty-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 353 414 593 706 1059 1186 1779 2118 3177 3558 5337 6354 8119 10674 13639 16238 16433 24357 27278 32866 40917 48714 49299 73071 81834 98598 122751 146142 147897 209329 245502 295794 377959 418658 627987 755918 1133877 1255974 1883961 2267754 3401631 3767922 4814567 5800849 6803262 9629134 9744769 11601698 14443701 17402547 19489538 28887402 29234307 34805094 43331103 52207641 58468614 86662206 87702921 104415282 133419527 175405842 224129687 266839054 400258581 448259374 672389061 800517162 1200775743 1344778122 2017167183 2401551486 3439903457 4034334366 6879806914 10319710371 20639420742 30959131113 61918262226 79117779511 158235559022 237353338533 474706677066 712060015599 1424120031198