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144030043214232 = 233726312372635229
BaseRepresentation
bin100000101111111010011011…
…100100000001000110011000
3200212222010201100112122200120
4200233322123210001012120
5122334242012030323412
61230154253255233240
742223553511304110
oct4057723344010630
9625863640478616
10144030043214232
114198a8865a238a
12141a1ba2078820
136249c89821a76
14277d13c6c4040
15119b842ca9b8c
hex82fe9b901198

144030043214232 has 128 divisors (see below), whose sum is σ = 413413195852800. Its totient is φ = 40961815377408.

The previous prime is 144030043214231. The next prime is 144030043214243. The reversal of 144030043214232 is 232412340030441.

It is a junction number, because it is equal to n+sod(n) for n = 144030043214193 and 144030043214202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144030043214231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53337994 + ... + 55973222.

It is an arithmetic number, because the mean of its divisors is an integer number (3229790592600).

Almost surely, 2144030043214232 is an apocalyptic number.

144030043214232 is a gapful number since it is divisible by the number (12) 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 144030043214232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206706597926400).

144030043214232 is an abundant number, since it is smaller than the sum of its proper divisors (269383152638568).

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

144030043214232 is a wasteful number, since it uses less digits than its factorization.

144030043214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636745 (or 2636741 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144030043214232 its reverse (232412340030441), we get a palindrome (376442383244673).

The spelling of 144030043214232 in words is "one hundred forty-four trillion, thirty billion, forty-three million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 263 526 789 1052 1237 1578 1841 2104 2474 3156 3682 3711 4948 5523 6312 7364 7422 8659 9896 11046 14728 14844 17318 22092 25977 29688 34636 44184 51954 69272 103908 207816 325331 650662 975993 1301324 1951986 2277317 2602648 2635229 3903972 4554634 5270458 6831951 7807944 7905687 9109268 10540916 13663902 15811374 18218536 18446603 21081832 27327804 31622748 36893206 54655608 55339809 63245496 73786412 110679618 147572824 221359236 442718472 693065227 1386130454 2079195681 2772260908 3259778273 4158391362 4851456589 5544521816 6519556546 8316782724 9702913178 9779334819 13039113092 14554369767 16633565448 19405826356 19558669638 22818447911 26078226184 29108739534 38811652712 39117339276 45636895822 58217479068 68455343733 78234678552 91273791644 116434958136 136910687466 182547583288 273821374932 547642749864 857321685799 1714643371598 2571965057397 3429286743196 5143930114794 6001251800593 6858573486392 10287860229588 12002503601186 18003755401779 20575720459176 24005007202372 36007510803558 48010014404744 72015021607116 144030043214232