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14022342020142 = 235232103529531
BaseRepresentation
bin1100110000001101010010…
…1101110000110000101110
31211122112010010101011200000
43030003110231300300232
53314220224024121032
645453435222045130
72645036464366401
oct314032455606056
954575103334600
1014022342020142
114516929566045
1216a5759b797a6
137a93bb8c6c01
143669837ddd38
15194b4758ae7c
hexcc0d4b70c2e

14022342020142 has 144 divisors (see below), whose sum is σ = 33256253267328. Its totient is φ = 4427476582320.

The previous prime is 14022342020129. The next prime is 14022342020263. The reversal of 14022342020142 is 24102024322041.

It is a happy number.

14022342020142 is a `hidden beast` number, since 1 + 4 + 0 + 223 + 420 + 2 + 0 + 14 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26215917 + ... + 26745447.

Almost surely, 214022342020142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022342020142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628126633664).

14022342020142 is an abundant number, since it is smaller than the sum of its proper divisors (19233911247186).

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

14022342020142 is a wasteful number, since it uses less digits than its factorization.

14022342020142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529697 (or 529662 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14022342020142 its reverse (24102024322041), we get a palindrome (38124366342183).

The spelling of 14022342020142 in words is "fourteen trillion, twenty-two billion, three hundred forty-two million, twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 103 138 162 206 207 243 309 414 486 529 618 621 927 1058 1242 1587 1854 1863 2369 2781 3174 3726 4738 4761 5562 5589 7107 8343 9522 11178 14214 14283 16686 21321 25029 28566 42642 42849 50058 54487 63963 85698 108974 127926 128547 163461 191889 257094 326922 383778 490383 529531 575667 980766 1059062 1151334 1471149 1588593 2942298 3177186 4413447 4765779 8826894 9531558 12179213 13240341 14297337 24358426 26480682 28594674 36537639 42892011 54541693 73075278 85784022 109083386 109612917 128676033 163625079 219225834 257352066 280121899 327250158 328838751 490875237 560243798 657677502 840365697 981750474 986516253 1254458939 1472625711 1680731394 1973032506 2508917878 2521097091 2945251422 2959548759 3763376817 4417877133 5042194182 5919097518 7526753634 7563291273 8835754266 11290130451 13253631399 15126582546 22580260902 22689873819 26507262798 28852555597 33870391353 45379747638 57705111194 67740782706 68069621457 86557666791 101611174059 136139242914 173115333582 203222348118 259673000373 304833522177 519346000746 609667044354 779019001119 1558038002238 2337057003357 4674114006714 7011171010071 14022342020142