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4213300342344 = 2334150961313723
BaseRepresentation
bin111101010011111100010…
…001010010111001001000
3112220210021010220210010120
4331103330101102321020
51023012314341423334
612543321412343240
7613254340001322
oct75237421227110
915823233823116
104213300342344
11138493a225935
12580695914b20
1324740a7a7162
14107cd3a0c612
15748e6e0b949
hex3d4fc452e48

4213300342344 has 128 divisors (see below), whose sum is σ = 10829784067200. Its totient is φ = 1365156771840.

The previous prime is 4213300342337. The next prime is 4213300342351. The reversal of 4213300342344 is 4432430033124.

It is a happy number.

4213300342344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4213300342337) and next prime (4213300342351).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307017867 + ... + 307031589.

It is an arithmetic number, because the mean of its divisors is an integer number (84607688025).

Almost surely, 24213300342344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213300342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414892033600).

4213300342344 is an abundant number, since it is smaller than the sum of its proper divisors (6616483724856).

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

4213300342344 is a wasteful number, since it uses less digits than its factorization.

4213300342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14895 (or 14891 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 4213300342344 its reverse (4432430033124), we get a palindrome (8645730375468).

The spelling of 4213300342344 in words is "four trillion, two hundred thirteen billion, three hundred million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 509 613 984 1018 1226 1527 1839 2036 2452 3054 3678 4072 4904 6108 7356 12216 13723 14712 20869 25133 27446 41169 41738 50266 54892 62607 75399 82338 83476 100532 109784 125214 150798 164676 166952 201064 250428 301596 312017 329352 500856 562643 603192 624034 936051 1125286 1248068 1687929 1872102 2250572 2496136 3375858 3744204 4501144 6751716 6985007 7488408 8412199 12792697 13503432 13970014 16824398 20955021 25236597 25585394 27940028 33648796 38378091 41910042 50473194 51170788 55880056 67297592 76756182 83820084 100946388 102341576 153512364 167640168 201892776 286385287 307024728 344900159 572770574 689800318 859155861 1034700477 1145541148 1379600636 1718311722 2069400954 2291082296 2759201272 3436623444 4138801908 4281809291 6873246888 8277603816 8563618582 12845427873 17127237164 25690855746 34254474328 51381711492 102763422984 175554180931 351108361862 526662542793 702216723724 1053325085586 1404433447448 2106650171172 4213300342344