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2232143434014 = 23131767157160031
BaseRepresentation
bin100000011110110110000…
…111011101000100011110
321220101112220200011112120
4200132312013131010132
5243032412204342024
64425233232243410
7320160411064464
oct40366607350436
97811486604476
102232143434014
1179071285a78a
123007303a0566
1313264b033090
147a071930834
153d0e3322479
hex207b61dd11e

2232143434014 has 128 divisors (see below), whose sum is σ = 5199416635392. Its totient is φ = 632704849920.

The previous prime is 2232143434013. The next prime is 2232143434033. The reversal of 2232143434014 is 4104343412322.

2232143434014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321434340143 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232143434013) 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, 13868179 + ... + 14028209.

It is an arithmetic number, because the mean of its divisors is an integer number (40620442464).

Almost surely, 22232143434014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232143434014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599708317696).

2232143434014 is an abundant number, since it is smaller than the sum of its proper divisors (2967273201378).

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

2232143434014 is a wasteful number, since it uses less digits than its factorization.

2232143434014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160290.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2232143434014 its reverse (4104343412322), we get a palindrome (6336486846336).

The spelling of 2232143434014 in words is "two trillion, two hundred thirty-two billion, one hundred forty-three million, four hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 67 78 102 134 157 201 221 314 402 442 471 663 871 942 1139 1326 1742 2041 2278 2613 2669 3417 4082 5226 5338 6123 6834 8007 10519 12246 14807 16014 21038 29614 31557 34697 44421 63114 69394 88842 104091 136747 160031 178823 208182 273494 320062 357646 410241 480093 536469 820482 960186 1072938 2080403 2324699 2720527 4160806 4649398 5441054 6241209 6974097 8161581 10722077 12482418 13948194 16323162 21444154 25124867 32166231 35366851 50249734 64332462 70733702 75374601 106100553 139387001 150749202 182275309 212201106 278774002 326623271 364550618 418161003 427122739 546825927 653246542 836322006 854245478 979869813 1093651854 1281368217 1683366089 1959739626 2369579017 2562736434 3366732178 4739158034 5050098267 5552595607 7108737051 10100196534 11105191214 14217474102 16657786821 21883759157 28617223513 33315573642 43767518314 57234447026 65651277471 85851670539 131302554942 171703341078 372023905669 744047811338 1116071717007 2232143434014