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2142222022314 = 233112437624597
BaseRepresentation
bin11111001011000110011…
…000011111011010101010
321120210110010200011022000
4133023012120133122222
5240044232314203224
64320042340311430
7310525154514363
oct37130630373252
97523403604260
102142222022314
11756569536200
122a72159a2576
1312701a59876a
147598124cb6a
153aacdd1b0c9
hex1f2c661f6aa

2142222022314 has 96 divisors (see below), whose sum is σ = 5354297699520. Its totient is φ = 634061403360.

The previous prime is 2142222022277. The next prime is 2142222022327. The reversal of 2142222022314 is 4132202222412.

2142222022314 is a `hidden beast` number, since 2 + 1 + 4 + 222 + 202 + 231 + 4 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3531337 + ... + 4093260.

It is an arithmetic number, because the mean of its divisors is an integer number (55773934370).

Almost surely, 22142222022314 is an apocalyptic number.

2142222022314 is an abundant number, since it is smaller than the sum of its proper divisors (3212075677206).

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

2142222022314 is a wasteful number, since it uses less digits than its factorization.

2142222022314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624673 (or 7624656 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2142222022314 its reverse (4132202222412), we get a palindrome (6274424244726).

The spelling of 2142222022314 in words is "two trillion, one hundred forty-two billion, two hundred twenty-two million, twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 121 129 198 242 258 297 363 387 473 594 726 774 946 1089 1161 1419 2178 2322 2838 3267 4257 5203 6534 8514 10406 12771 15609 25542 31218 46827 93654 140481 280962 7624597 15249194 22873791 45747582 68621373 83870567 137242746 167741134 205864119 251611701 327857671 411728238 503223402 655715342 754835103 922576237 983573013 1509670206 1845152474 1967146026 2264505309 2767728711 2950719039 3606434381 4529010618 5535457422 5901438078 7212868762 8303186133 8852157117 10819303143 16606372266 17704314234 21638606286 24909558399 32457909429 39670778191 49819116798 64915818858 79341556382 97373728287 119012334573 194747456574 238024669146 357037003719 714074007438 1071111011157 2142222022314