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1140223014 = 233717191929
BaseRepresentation
bin100001111110110…
…0110110000100110
32221110112022221000
41003331212300212
54313344114024
6305050534130
740153510230
oct10375466046
92843468830
101140223014
11535698477
12279a37346
131522c4b98
14ab60d250
156a17dcc9
hex43f66c26

1140223014 has 128 divisors (see below), whose sum is σ = 3085516800. Its totient is φ = 304680960.

The previous prime is 1140223001. The next prime is 1140223027. The reversal of 1140223014 is 4103220411.

1140223014 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1140223001) and next prime (1140223027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1226902 + ... + 1227830.

It is an arithmetic number, because the mean of its divisors is an integer number (24105600).

Almost surely, 21140223014 is an apocalyptic number.

1140223014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140223014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542758400).

1140223014 is an abundant number, since it is smaller than the sum of its proper divisors (1945293786).

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

1140223014 is a wasteful number, since it uses less digits than its factorization.

1140223014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1140223014 is about 33767.1884230831. The cubic root of 1140223014 is about 1044.7120423284.

Adding to 1140223014 its reverse (4103220411), we get a palindrome (5243443425).

The spelling of 1140223014 in words is "one billion, one hundred forty million, two hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 191 238 306 357 378 382 459 573 714 918 929 1071 1146 1337 1719 1858 2142 2674 2787 3213 3247 3438 4011 5157 5574 6426 6494 6503 8022 8361 9741 10314 12033 13006 15793 16722 19482 19509 22729 24066 25083 29223 31586 36099 39018 45458 47379 50166 58446 58527 68187 72198 87669 94758 110551 117054 136374 142137 175338 175581 177439 204561 221102 284274 331653 351162 354878 409122 426411 532317 613683 663306 852822 994959 1064634 1227366 1242073 1596951 1989918 2484146 2984877 3016463 3193902 3726219 4790853 5969754 6032926 7452438 9049389 9581706 11178657 18098778 21115241 22357314 27148167 33535971 42230482 54296334 63345723 67071942 81444501 126691446 162889002 190037169 380074338 570111507 1140223014