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144124321110132 = 223111867862767789
BaseRepresentation
bin100000110001010010001110…
…111101101001100001110100
3200220022011001202000222202210
4200301102032331221201310
5122342313102201011012
61230305444333533420
742233432014222266
oct4061221675514164
9626264052028683
10144124321110132
1141a16865a53a30
12141b8313644270
136255b329c449c
1427839237d3b36
15119e00e9a123c
hex83148ef69874

144124321110132 has 96 divisors (see below), whose sum is σ = 367106369333760. Its totient is φ = 43644940456320.

The previous prime is 144124321110071. The next prime is 144124321110149. The reversal of 144124321110132 is 231011123421441.

It is a super-3 number, since 3×1441243211101323 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144124321110132.

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, 2126038494 + ... + 2126106282.

It is an arithmetic number, because the mean of its divisors is an integer number (3824024680560).

Almost surely, 2144124321110132 is an apocalyptic number.

144124321110132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144124321110132 is an abundant number, since it is smaller than the sum of its proper divisors (222982048223628).

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

144124321110132 is a wasteful number, since it uses less digits than its factorization.

144124321110132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78301 (or 78299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 144124321110132 its reverse (231011123421441), we get a palindrome (375135444531573).

The spelling of 144124321110132 in words is "one hundred forty-four trillion, one hundred twenty-four billion, three hundred twenty-one million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1867 3734 5601 7468 8627 11202 17254 20537 22404 25881 34508 41074 51762 61611 67789 82148 94897 103524 123222 135578 189794 203367 246444 271156 284691 379588 406734 569382 745679 813468 1138764 1491358 2237037 2982716 4474074 8948148 16106609 32213218 48319827 64426436 96639654 126562063 177172699 193279308 253124126 354345398 379686189 506248252 531518097 584815703 708690796 759372378 1063036194 1169631406 1392182693 1518744756 1754447109 2126072388 2339262812 2784365386 3508894218 4176548079 5568730772 6432972733 7017788436 8353096158 12865945466 16706192316 19298918199 25731890932 38597836398 77195672796 1091850917501 2183701835002 3275552752503 4367403670004 6551105505006 12010360092511 13102211010012 24020720185022 36031080277533 48041440370044 72062160555066 144124321110132