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4043443422114 = 2342312718714567
BaseRepresentation
bin111010110101110000000…
…000100100001110100010
3112022112211112011012120000
4322311300000210032202
51012221433004001424
612333310545200430
7565062204001335
oct72656000441642
915275745135500
104043443422114
1113198a6443708
12553791030116
132343ab398175
14dd9bcd7c61c
15702a4e253c9
hex3ad700243a2

4043443422114 has 160 divisors (see below), whose sum is σ = 9535858016256. Its totient is φ = 1278099012960.

The previous prime is 4043443422113. The next prime is 4043443422163. The reversal of 4043443422114 is 4112243443404.

4043443422114 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 4 + 434 + 2 + 211 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4043443422113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 885358659 + ... + 885363225.

Almost surely, 24043443422114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4043443422114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767929008128).

4043443422114 is an abundant number, since it is smaller than the sum of its proper divisors (5492414594142).

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

4043443422114 is a wasteful number, since it uses less digits than its factorization.

4043443422114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4043443422114 its reverse (4112243443404), we get a palindrome (8155686865518).

The spelling of 4043443422114 in words is "four trillion, forty-three billion, four hundred forty-three million, four hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 127 138 162 207 254 381 414 621 762 1143 1242 1863 1871 2286 2921 3429 3726 3742 4567 5613 5842 6858 8763 9134 10287 11226 13701 16839 17526 20574 26289 27402 33678 41103 43033 50517 52578 78867 82206 86066 101034 105041 123309 129099 151551 157734 210082 236601 237617 246618 258198 303102 315123 369927 387297 473202 475234 580009 630246 712851 739854 774594 945369 1160018 1161891 1425702 1740027 1890738 2138553 2323782 2836107 3480054 3485673 4277106 5220081 5465191 5672214 6415659 6971346 8508321 8544857 10440162 10930382 12831318 13340207 15660243 16395573 17016642 17089714 19246977 25634571 26680414 31320486 32791146 38493954 40020621 46980729 49186719 51269142 76903713 80041242 93961458 98373438 120061863 147560157 153807426 196531711 230711139 240123726 295120314 360185589 393063422 442680471 461422278 589595133 692133417 720371178 885360942 1080556767 1085196839 1179190266 1384266834 1768785399 2161113534 2170393678 3255590517 3537570798 5306356197 6511181034 9766771551 10612712394 15919068591 19533543102 24959527297 29300314653 31838137182 49919054594 58600629306 74878581891 87900943959 149757163782 175801887918 224635745673 449271491346 673907237019 1347814474038 2021721711057 4043443422114