Search a number
-
+
42312335320422 = 2334750932753491
BaseRepresentation
bin10011001111011100110111…
…01101110110010101100110
312112211000112101210002112000
421213232123231312111212
521021221130320223142
6225554003555110130
711624652054005436
oct1147563355662546
9175730471702460
1042312335320422
1112533619231a42
1248b44b75a2346
131a7c0614088ab
14a63cdc4542c6
154d59932b314c
hex267b9bb76566

42312335320422 has 64 divisors (see below), whose sum is σ = 96216658099200. Its totient is φ = 13776903977760.

The previous prime is 42312335320421. The next prime is 42312335320441. The reversal of 42312335320422 is 22402353321324.

42312335320422 is a `hidden beast` number, since 4 + 2 + 312 + 335 + 3 + 2 + 0 + 4 + 2 + 2 = 666.

It is a super-2 number, since 2×423123353204222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312335320421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15084904 + ... + 17668587.

It is an arithmetic number, because the mean of its divisors is an integer number (1503385282800).

Almost surely, 242312335320422 is an apocalyptic number.

42312335320422 is an abundant number, since it is smaller than the sum of its proper divisors (53904322778778).

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

42312335320422 is a wasteful number, since it uses less digits than its factorization.

42312335320422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32754058 (or 32754052 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 42312335320422 its reverse (22402353321324), we get a palindrome (64714688641746).

The spelling of 42312335320422 in words is "forty-two trillion, three hundred twelve billion, three hundred thirty-five million, three hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 509 846 1018 1269 1527 2538 3054 4581 9162 13743 23923 27486 47846 71769 143538 215307 430614 645921 1291842 32753491 65506982 98260473 196520946 294781419 589562838 884344257 1539414077 1768688514 3078828154 4618242231 9236484462 13854726693 16671526919 27709453386 33343053838 41564180079 50014580757 83128360158 100029161514 150043742271 300087484542 450131226813 783561765193 900262453626 1567123530386 2350685295579 4701370591158 7052055886737 14104111773474 21156167660211 42312335320422