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240213123332 = 2271321271972029
BaseRepresentation
bin1101111110110111010…
…0010110000100000100
3211222000212101000020122
43133231310112010010
512413424024421312
6302204040521112
723232463600430
oct3375564260404
9758025330218
10240213123332
1192968055a26
123a67aa80198
13198625a2100
14b8aaac99c0
1563ada08b72
hex37edd16104

240213123332 has 144 divisors (see below), whose sum is σ = 527242383360. Its totient is φ = 93756289536.

The previous prime is 240213123239. The next prime is 240213123391. The reversal of 240213123332 is 233321312042.

It is a happy number.

240213123332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118388894 + ... + 118390922.

It is an arithmetic number, because the mean of its divisors is an integer number (3661405440).

Almost surely, 2240213123332 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 240213123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263621191680).

240213123332 is an abundant number, since it is smaller than the sum of its proper divisors (287029260028).

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

240213123332 is a wasteful number, since it uses less digits than its factorization.

240213123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 240213123332 its reverse (233321312042), we get a palindrome (473534435374).

The spelling of 240213123332 in words is "two hundred forty billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 127 169 182 197 254 338 364 394 508 676 788 889 1183 1379 1651 1778 2029 2366 2561 2758 3302 3556 4058 4732 5122 5516 6604 8116 10244 11557 14203 17927 21463 23114 25019 26377 28406 33293 35854 42926 46228 50038 52754 56812 66586 71708 85852 100076 105508 133172 150241 175133 184639 233051 257683 300482 325247 342901 350266 369278 399713 466102 515366 600964 650494 685802 700532 738556 799426 932204 1030732 1300988 1371604 1598852 1803781 2276729 2400307 2797991 3349879 3607562 4228211 4553458 4800614 5196269 5595982 6699758 7215124 8456422 9106916 9601228 10392538 11191964 13399516 16912844 20785076 23449153 29597477 36373883 43548427 46898306 50763551 59194954 67551497 72747766 87096854 93796612 101527102 118389908 135102994 145495532 174193708 203054204 270205988 304838989 355344857 472860479 609677978 659926163 710689714 945720958 1219355956 1319852326 1421379428 1891441916 2639704652 4619483141 8579040119 9238966282 17158080238 18477932564 34316160476 60053280833 120106561666 240213123332