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144212442024 = 233710718674297
BaseRepresentation
bin1000011001001110111…
…0110011101110101000
3111210020102011002212110
42012103232303232220
54330321341121044
6150130021042320
713263501350250
oct2062356635650
9453212132773
10144212442024
1156184189192
1223b485563a0
13107a3505c41
146da0c82960
153b4095c6b9
hex2193bb3ba8

144212442024 has 128 divisors (see below), whose sum is σ = 416205941760. Its totient is φ = 40787117568.

The previous prime is 144212441993. The next prime is 144212442047. The reversal of 144212442024 is 420244212441.

It is a super-2 number, since 2×1442124420242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144212441982 and 144212442000.

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, 33559044 + ... + 33563340.

It is an arithmetic number, because the mean of its divisors is an integer number (3251608920).

Almost surely, 2144212442024 is an apocalyptic number.

144212442024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144212442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208102970880).

144212442024 is an abundant number, since it is smaller than the sum of its proper divisors (271993499736).

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

144212442024 is a wasteful number, since it uses less digits than its factorization.

144212442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 144212442024 its reverse (420244212441), we get a palindrome (564456654465).

The spelling of 144212442024 in words is "one hundred forty-four billion, two hundred twelve million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 1867 2247 2568 2996 3734 4297 4494 5601 5992 7468 8594 8988 11202 12891 13069 14936 17188 17976 22404 25782 26138 30079 34376 39207 44808 51564 52276 60158 78414 90237 103128 104552 120316 156828 180474 199769 240632 313656 360948 399538 459779 599307 721896 799076 919558 1198614 1379337 1398383 1598152 1839116 2397228 2758674 2796766 3218453 3678232 4195149 4794456 5517348 5593532 6436906 8022499 8390298 9655359 11034696 11187064 12873812 16044998 16780596 19310718 24067497 25747624 32089996 33561192 38621436 48134994 56157493 64179992 77242872 96269988 112314986 168472479 192539976 224629972 336944958 449259944 673889916 858407393 1347779832 1716814786 2575222179 3433629572 5150444358 6008851751 6867259144 10300888716 12017703502 18026555253 20601777432 24035407004 36053110506 48070814008 72106221012 144212442024