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3402310140222 = 23729113241110253
BaseRepresentation
bin110001100000101001011…
…111001100000100111110
3110001020221211202221001220
4301200221133030010332
5421220412343441342
611122555534014210
7500544263011560
oct61405137140476
913036854687056
103402310140222
1110a1a03415674
1246b482947366
131b8ab4953a06
14ba95bc07330
155d77dd635ec
hex318297cc13e

3402310140222 has 128 divisors (see below), whose sum is σ = 8120222991360. Its totient is φ = 929785866240.

The previous prime is 3402310140221. The next prime is 3402310140323. The reversal of 3402310140222 is 2220410132043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3402310140192 and 3402310140201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402310140221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331830448 + ... + 331840700.

It is an arithmetic number, because the mean of its divisors is an integer number (63439242120).

Almost surely, 23402310140222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402310140222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060111495680).

3402310140222 is an abundant number, since it is smaller than the sum of its proper divisors (4717912851138).

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

3402310140222 is a wasteful number, since it uses less digits than its factorization.

3402310140222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12818.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3402310140222 its reverse (2220410132043), we get a palindrome (5622720272265).

The spelling of 3402310140222 in words is "three trillion, four hundred two billion, three hundred ten million, one hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 113 174 203 226 339 406 609 678 791 1218 1582 2373 2411 3277 4746 4822 6554 7233 9831 10253 14466 16877 19662 20506 22939 30759 33754 45878 50631 61518 68817 69919 71771 101262 137634 139838 143542 209757 215313 272443 297337 419514 430626 489433 544886 594674 817329 892011 978866 1158589 1468299 1634658 1784022 1907101 2081359 2317178 2936598 3475767 3814202 4162718 5721303 6244077 6951534 7900847 8110123 11442606 12488154 15801694 16220246 23702541 24330369 24719983 33599081 47405082 48660738 49439966 55305929 67198162 74159949 100797243 110611858 148319898 165917787 173039881 201594486 235193567 331835574 346079762 470387134 519119643 705580701 716879507 1038239286 1411161402 1433759014 2150638521 2793358079 4301277042 5018156549 5586716158 8380074237 10036313098 15054469647 16760148474 19553506553 30108939294 39107013106 58660519659 81007384291 117321039318 162014768582 243022152873 486044305746 567051690037 1134103380074 1701155070111 3402310140222