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144242112121140 = 223511239502115423
BaseRepresentation
bin100000110010111111111011…
…110110101100100100110100
3200220201102002210121100001010
4200302333323312230210310
5122401230321200334030
61230435524520032220
742245102001256455
oct4062777366544464
9626642083540033
10144242112121140
1141a618109a9a10
1214217107602670
136263c85350877
1427894d95dd12c
1511a2105a616b0
hex832ffbdac934

144242112121140 has 96 divisors (see below), whose sum is σ = 459750352674816. Its totient is φ = 33447446285440.

The previous prime is 144242112121111. The next prime is 144242112121153. The reversal of 144242112121140 is 41121211242441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144242112121098 and 144242112121107.

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, 4751042532 + ... + 4751072891.

It is an arithmetic number, because the mean of its divisors is an integer number (4789066173696).

Almost surely, 2144242112121140 is an apocalyptic number.

144242112121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144242112121140 is an abundant number, since it is smaller than the sum of its proper divisors (315508240553676).

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

144242112121140 is a wasteful number, since it uses less digits than its factorization.

144242112121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502115469 (or 9502115467 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 144242112121140 its reverse (41121211242441), we get a palindrome (185363323363581).

The spelling of 144242112121140 in words is "one hundred forty-four trillion, two hundred forty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 9502115423 19004230846 28506346269 38008461692 47510577115 57012692538 95021154230 104523269653 114025385076 142531731345 190042308460 209046539306 218548654729 285063462690 313569808959 418093078612 437097309458 522616348265 570126925380 627139617918 655645964187 874194618916 1045232696530 1092743273645 1254279235836 1311291928374 1567849044795 2090465393060 2185486547290 2404035202019 2622583856748 3135698089590 3278229820935 4370973094580 4808070404038 6271396179180 6556459641870 7212105606057 9616140808076 12020176010095 13112919283740 14424211212114 24040352020190 28848422424228 36060528030285 48080704040380 72121056060570 144242112121140