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4142446442414 = 2717315367158113
BaseRepresentation
bin111100010001111101000…
…011000111011110101110
3112200000101012210201202122
4330101331003013132232
51020332212242124124
612451002535352542
7605165453535440
oct74217503073656
915600335721678
104142446442414
111357890029145
1256aa00b22752
13240828487397
141046d183a490
1572b4b87875e
hex3c47d0c77ae

4142446442414 has 128 divisors (see below), whose sum is σ = 8026139860992. Its totient is φ = 1562804305920.

The previous prime is 4142446442401. The next prime is 4142446442429.

4142446442414 is nontrivially palindromic in base 10.

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, 26120222 + ... + 26278334.

It is an arithmetic number, because the mean of its divisors is an integer number (62704217664).

Almost surely, 24142446442414 is an apocalyptic number.

4142446442414 is a deficient number, since it is larger than the sum of its proper divisors (3883693418578).

4142446442414 is a wasteful number, since it uses less digits than its factorization.

4142446442414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158290.

The product of its digits is 1572864, while the sum is 44.

The spelling of 4142446442414 in words is "four trillion, one hundred forty-two billion, four hundred forty-six million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 7 14 17 31 34 53 62 67 106 119 134 217 238 371 434 469 527 742 901 938 1054 1139 1643 1802 2077 2278 3286 3551 3689 4154 6307 7102 7378 7973 11501 12614 14539 15946 23002 24857 27931 29078 35309 49714 55862 60367 70618 110081 120734 158113 195517 220162 247163 316226 391034 422569 494326 770567 845138 1106791 1541134 1871377 2213582 2687921 3742754 4901503 5375842 8379989 9803006 10593571 13099639 16759978 18815447 21187142 26199278 34310521 37630894 58659923 68621042 74154997 83325551 117319846 142459813 148309994 166651102 180090707 259779659 284919626 328400701 360181414 519559318 561459263 583278857 656801402 997218691 1122918526 1166557714 1260634949 1818457613 1994437382 2298804907 2521269898 3636915226 3930214841 4416254203 4597609814 5582811917 7860429682 8832508406 9544807471 11165623834 17405237153 19089614942 30913779421 34810474306 39079683419 61827558842 66813652297 78159366838 121836660071 133627304594 243673320142 295889031601 591778063202 2071223221207 4142446442414