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2332114402014 = 233475967232451
BaseRepresentation
bin100001111011111100110…
…110011011101011011110
322020221121001200112101000
4201323330312123223132
5301202132241331024
64543205241131130
7330326653225545
oct41737466335336
98227531615330
102332114402014
1181a0538666a1
12317b90489aa6
1313bbc0819307
1480c36b9515c
15409e4c24cc9
hex21efcd9bade

2332114402014 has 128 divisors (see below), whose sum is σ = 5462807961600. Its totient is φ = 736769800800.

The previous prime is 2332114401941. The next prime is 2332114402069. The reversal of 2332114402014 is 4102044112332.

2332114402014 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 11 + 440 + 201 + 4 = 666.

It is a super-2 number, since 2×23321144020142 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9916489 + ... + 10148939.

It is an arithmetic number, because the mean of its divisors is an integer number (42678187200).

Almost surely, 22332114402014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332114402014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731403980800).

2332114402014 is an abundant number, since it is smaller than the sum of its proper divisors (3130693559586).

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

2332114402014 is a wasteful number, since it uses less digits than its factorization.

2332114402014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232635 (or 232629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2332114402014 its reverse (4102044112332), we get a palindrome (6434158514346).

The spelling of 2332114402014 in words is "two trillion, three hundred thirty-two billion, one hundred fourteen million, four hundred two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 59 67 94 118 134 141 177 201 282 354 402 423 531 603 846 1062 1206 1269 1593 1809 2538 2773 3149 3186 3618 3953 5546 6298 7906 8319 9447 11859 16638 18894 23718 24957 28341 35577 49914 56682 71154 74871 85023 106731 149742 170046 185791 213462 232451 371582 464902 557373 697353 1114746 1394706 1672119 2092059 3344238 4184118 5016357 6276177 10032714 10925197 12552354 13714609 15574217 21850394 27429218 31148434 32775591 41143827 46722651 65551182 82287654 93445302 98326773 123431481 140167953 196653546 246862962 280335906 294980319 370294443 420503859 589960638 644586623 731988199 740588886 841007718 918878803 1289173246 1463976398 1837757606 1933759869 2195964597 2756636409 3867519738 4391929194 5513272818 5801279607 6587893791 8269909227 11602559214 13175787582 16539818454 17403838821 19763681373 24809727681 34807677642 39527362746 43187303741 49619455362 86374607482 129561911223 259123822446 388685733669 777371467338 1166057201007 2332114402014