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1043221140144 = 2432611131051007
BaseRepresentation
bin11110010111001001101…
…00110101001010110000
310200201201212121211120100
433023210310311022300
5114043004102441034
62115125453312400
7135240664244661
oct17134464651260
93621655554510
101043221140144
11372478156227
1214a224795700
13774b57abc91
14386c6743368
151c20ae25099
hexf2e4d352b0

1043221140144 has 120 divisors (see below), whose sum is σ = 2993695391232. Its totient is φ = 339012495360.

The previous prime is 1043221140139. The next prime is 1043221140163. The reversal of 1043221140144 is 4410411223401.

1043221140144 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 211 + 401 + 44 = 666.

1043221140144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467089 + ... + 1518095.

Almost surely, 21043221140144 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 1043221140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496847695616).

1043221140144 is an abundant number, since it is smaller than the sum of its proper divisors (1950474251088).

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

1043221140144 is a wasteful number, since it uses less digits than its factorization.

1043221140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051195 (or 1051186 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1043221140144 its reverse (4410411223401), we get a palindrome (5453632363545).

The spelling of 1043221140144 in words is "one trillion, forty-three billion, two hundred twenty-one million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 113 122 144 183 226 244 339 366 452 488 549 678 732 904 976 1017 1098 1356 1464 1808 2034 2196 2712 2928 4068 4392 5424 6893 8136 8784 13786 16272 20679 27572 41358 55144 62037 82716 110288 124074 165432 248148 330864 496296 992592 1051007 2102014 3153021 4204028 6306042 8408056 9459063 12612084 16816112 18918126 25224168 37836252 50448336 64111427 75672504 118763791 128222854 151345008 192334281 237527582 256445708 356291373 384668562 475055164 512891416 577002843 712582746 769337124 950110328 1025782832 1068874119 1154005686 1425165492 1538674248 1900220656 2137748238 2308011372 2850330984 3077348496 4275496476 4616022744 5700661968 7244591251 8550992952 9232045488 14489182502 17101985904 21733773753 28978365004 43467547506 57956730008 65201321259 86935095012 115913460016 130402642518 173870190024 260805285036 347740380048 521610570072 1043221140144