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1224144043144 = 2311411732637457
BaseRepresentation
bin10001110100000100101…
…010111011110010001000
311100000201200222120201121
4101310010222323302020
5130024021333340034
62334210343125024
7154304300453251
oct21640452736210
94300650876647
101224144043144
1143217a443060
121792b7443774
138b5896a8779
144336ad3bb28
1521c996811b4
hex11d04abbc88

1224144043144 has 128 divisors (see below), whose sum is σ = 2589985601280. Its totient is φ = 537595494400.

The previous prime is 1224144043099. The next prime is 1224144043163. The reversal of 1224144043144 is 4413404414221.

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, 164156664 + ... + 164164120.

It is an arithmetic number, because the mean of its divisors is an integer number (20234262510).

Almost surely, 21224144043144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224144043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294992800640).

1224144043144 is an abundant number, since it is smaller than the sum of its proper divisors (1365841558136).

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

1224144043144 is a wasteful number, since it uses less digits than its factorization.

1224144043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 1224144043144 its reverse (4413404414221), we get a palindrome (5637548457365).

The spelling of 1224144043144 in words is "one trillion, two hundred twenty-four billion, one hundred forty-four million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 173 263 328 346 451 526 692 902 1052 1384 1804 1903 2104 2893 3608 3806 5786 7093 7457 7612 10783 11572 14186 14914 15224 21566 23144 28372 29828 43132 45499 56744 59656 78023 82027 86264 90998 118613 156046 164054 181996 237226 305737 312092 328108 363992 474452 500489 611474 624184 656216 948904 1000978 1222948 1290061 1865459 1961191 2001956 2445896 2580122 3363107 3730918 3922382 4003912 5160244 6726214 7461836 7844764 10320488 13452428 14190671 14923672 15689528 20520049 21573101 26904856 28381342 41040098 43146202 52892501 56762684 80408831 82080196 86292404 105785002 113525368 160817662 164160392 172584808 211570004 321635324 339286043 423140008 581817511 643270648 678572086 884497141 1163635022 1357144172 1768994282 2327270044 2714288344 3537988564 3732146473 4654540088 7075977128 7464292946 13910727763 14928585892 27821455526 29857171784 55642911052 111285822104 153018005393 306036010786 612072021572 1224144043144