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23004014514 = 23131937443947
BaseRepresentation
bin10101011011001001…
…010110011110110010
32012101012010000110120
4111123021112132302
5334103011431024
614322355511110
71443026616465
oct253311263662
965335100416
1023004014514
119835191648
12455bbb8496
132227b66510
1411832552dc
158e9854479
hex55b2567b2

23004014514 has 128 divisors (see below), whose sum is σ = 53742044160. Its totient is φ = 6502788864.

The previous prime is 23004014471. The next prime is 23004014587. The reversal of 23004014514 is 41541040032.

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 63 ways as a sum of consecutive naturals, for example, 24290989 + ... + 24291935.

It is an arithmetic number, because the mean of its divisors is an integer number (419859720).

Almost surely, 223004014514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23004014514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871022080).

23004014514 is an abundant number, since it is smaller than the sum of its proper divisors (30738029646).

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

23004014514 is a wasteful number, since it uses less digits than its factorization.

23004014514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 23004014514 its reverse (41541040032), we get a palindrome (64545054546).

The spelling of 23004014514 in words is "twenty-three billion, four million, fourteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 19 26 37 38 39 57 74 78 111 114 222 247 443 481 494 703 741 886 947 962 1329 1406 1443 1482 1894 2109 2658 2841 2886 4218 5682 5759 8417 9139 11518 12311 16391 16834 17277 17993 18278 24622 25251 27417 32782 34554 35039 35986 36933 49173 50502 53979 54834 70078 73866 98346 105117 107958 109421 210234 213083 218842 233909 311429 328263 419521 426166 455507 467818 622858 639249 656526 665741 701727 839042 911014 934287 1258563 1278498 1331482 1366521 1403454 1868574 1997223 2517126 2733042 3994446 4048577 5453773 7970899 8097154 8654633 10907546 12145731 15522277 15941798 16361319 17309266 23912697 24291462 25963899 31044554 32722638 46566831 47825394 51927798 93133662 103621687 201789601 207243374 294923263 310865061 403579202 589846526 605368803 621730122 884769789 1210737606 1769539578 3834002419 7668004838 11502007257 23004014514