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14023106304 = 283831791229
BaseRepresentation
bin11010000111101011…
…11001111100000000
31100012021221121110120
431003311321330000
5212204403400204
610235255500240
71004335302564
oct150365717400
940167847416
1014023106304
115a46750359
122874387680
13142633c14c
149705ad6a4
155711996d9
hex343d79f00

14023106304 has 144 divisors (see below), whose sum is σ = 38013494400. Its totient is φ = 4588515328.

The previous prime is 14023106299. The next prime is 14023106341. The reversal of 14023106304 is 40360132041.

14023106304 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11409562 + ... + 11410790.

It is an arithmetic number, because the mean of its divisors is an integer number (263982600).

Almost surely, 214023106304 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 14023106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006747200).

14023106304 is an abundant number, since it is smaller than the sum of its proper divisors (23990388096).

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

14023106304 is a wasteful number, since it uses less digits than its factorization.

14023106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14023106304 its reverse (40360132041), we get a palindrome (54383238345).

The spelling of 14023106304 in words is "fourteen billion, twenty-three million, one hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 179 192 249 256 332 358 384 498 537 664 716 768 996 1074 1229 1328 1432 1992 2148 2458 2656 2864 3687 3984 4296 4916 5312 5728 7374 7968 8592 9832 10624 11456 14748 14857 15936 17184 19664 21248 22912 29496 29714 31872 34368 39328 44571 45824 58992 59428 63744 68736 78656 89142 102007 117984 118856 137472 157312 178284 204014 219991 235968 237712 306021 314624 356568 408028 439982 471936 475424 612042 659973 713136 816056 879964 943872 950848 1224084 1319946 1426272 1632112 1759928 1901696 2448168 2639892 2852544 3264224 3519856 3803392 4896336 5279784 5705088 6528448 7039712 9792672 10559568 11410176 13056896 14079424 18259253 19585344 21119136 26113792 28158848 36518506 39170688 42238272 54777759 56317696 73037012 78341376 84476544 109555518 146074024 168953088 219111036 292148048 438222072 584296096 876444144 1168592192 1752888288 2337184384 3505776576 4674368768 7011553152 14023106304