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13130022433424 = 24132910740949739
BaseRepresentation
bin1011111100010001001001…
…0100101011001010010000
31201111012212211122111202212
42333010102110223022100
53210110241220332144
643531503220331252
72523420124141331
oct277042224531220
951435784574685
1013130022433424
114202458401446
121580829b43b28
137432043b5b60
143356d4490288
1517b81e47c49e
hexbf11252b290

13130022433424 has 160 divisors (see below), whose sum is σ = 28676383344000. Its totient is φ = 5782073536512.

The previous prime is 13130022433403. The next prime is 13130022433457. The reversal of 13130022433424 is 42433422003131.

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 31 ways as a sum of consecutive naturals, for example, 263953547 + ... + 264003285.

It is an arithmetic number, because the mean of its divisors is an integer number (179227395900).

Almost surely, 213130022433424 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 13130022433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338191672000).

13130022433424 is an abundant number, since it is smaller than the sum of its proper divisors (15546360910576).

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

13130022433424 is a wasteful number, since it uses less digits than its factorization.

13130022433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50305 (or 50299 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13130022433424 its reverse (42433422003131), we get a palindrome (55563444436555).

The spelling of 13130022433424 in words is "thirteen trillion, one hundred thirty billion, twenty-two million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 107 116 208 214 232 377 409 428 464 754 818 856 1391 1508 1636 1712 2782 3016 3103 3272 5317 5564 6032 6206 6544 10634 11128 11861 12412 21268 22256 23722 24824 40339 42536 43763 47444 49648 49739 80678 85072 87526 94888 99478 154193 161356 175052 189776 198956 308386 322712 350104 397912 568919 616772 645424 646607 700208 795824 1137838 1233544 1269127 1293214 1442431 2275676 2467088 2538254 2586428 2884862 4551352 5076508 5172856 5322073 5769724 9102704 10153016 10345712 10644146 11539448 16498651 18751603 20306032 20343251 21288292 23078896 32997302 37503206 40686502 42576584 65994604 69186949 75006412 81373004 85153168 131989208 138373898 150012824 154340117 162746008 263978416 264462263 276747796 300025648 308680234 325492016 528924526 553495592 589954279 617360468 1057849052 1106991184 1179908558 1234720936 2006421521 2115698104 2176727857 2359817116 2469441872 4012843042 4231396208 4353455714 4719634232 7669405627 8025686084 8706911428 9439268464 15338811254 16051372168 17413822856 28297462141 30677622508 32102744336 34827645712 56594924282 61355245016 63125107853 113189848564 122710490032 126250215706 226379697128 252500431412 452759394256 505000862824 820626402089 1010001725648 1641252804178 3282505608356 6565011216712 13130022433424