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442014421041332 = 226716346766132779
BaseRepresentation
bin110010010000000101000000…
…0100011010100000010110100
32010222001011110222202210010022
41210200022000203110002310
5430413431013241310312
64204030342145144312
7162050326260231416
oct14440120043240264
92128034428683108
10442014421041332
11118926299427327
12416a943332b098
1315c83a1cc86419
147b2187d96a9b6
153617c21dc9172
hex19202808d40b4

442014421041332 has 96 divisors (see below), whose sum is σ = 792799910622720. Its totient is φ = 215576416725120.

The previous prime is 442014421041293. The next prime is 442014421041359. The reversal of 442014421041332 is 233140124410244.

It is a junction number, because it is equal to n+sod(n) for n = 442014421041292 and 442014421041301.

It is a congruent number.

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, 13484666519 + ... + 13484699297.

It is an arithmetic number, because the mean of its divisors is an integer number (8258332402320).

Almost surely, 2442014421041332 is an apocalyptic number.

It is an amenable number.

442014421041332 is a deficient number, since it is larger than the sum of its proper divisors (350785489581388).

442014421041332 is a wasteful number, since it uses less digits than its factorization.

442014421041332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34141 (or 34139 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 442014421041332 its reverse (233140124410244), we get a palindrome (675154545451576).

The spelling of 442014421041332 in words is "four hundred forty-two trillion, fourteen billion, four hundred twenty-one million, forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 67 134 163 268 326 467 652 661 934 1322 1868 2644 10921 21842 31289 32779 43684 44287 62578 65558 76121 88574 107743 125156 131116 152242 177148 215486 304484 308687 430972 617374 1234748 2196193 4392386 5100107 5342977 7218781 8784772 10200214 10685954 14437562 15307793 20400428 20682029 21371908 21666919 28875124 30615586 41364058 43333838 50315981 61231172 82728116 86667676 100631962 201263924 357979459 715958918 1025622131 1431917836 1451683573 2051244262 2495170259 2903367146 3371170727 3531707797 4102488524 4990340518 5806734292 6742341454 7063415594 9980681036 10118451173 13484682908 14126831188 20236902346 40473804692 167176407353 236624422399 334352814706 473248844798 668705629412 677936228591 946497689596 1355872457182 1649307541199 2711744914364 3298615082398 6597230164796 110503605260333 221007210520666 442014421041332