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14334104340 = 22325294995503
BaseRepresentation
bin11010101100110000…
…10001001100010100
31100222222010221120100
431112120101030110
5213324012314330
610330205334100
71015132606443
oct152630211424
940888127510
1014334104340
116096256826
122940567330
1314758bab5a
1499da06d5a
1558d62c060
hex356611314

14334104340 has 144 divisors (see below), whose sum is σ = 45077760000. Its totient is φ = 3682554624.

The previous prime is 14334104333. The next prime is 14334104357. The reversal of 14334104340 is 4340143341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2602029 + ... + 2607531.

It is an arithmetic number, because the mean of its divisors is an integer number (313040000).

Almost surely, 214334104340 is an apocalyptic number.

14334104340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14334104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538880000).

14334104340 is an abundant number, since it is smaller than the sum of its proper divisors (30743655660).

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

14334104340 is a wasteful number, since it uses less digits than its factorization.

14334104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14334104340 its reverse (4340143341), we get a palindrome (18674247681).

The spelling of 14334104340 in words is "fourteen billion, three hundred thirty-four million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 499 522 580 870 998 1044 1305 1497 1740 1996 2495 2610 2994 4491 4990 5220 5503 5988 7485 8982 9980 11006 14471 14970 16509 17964 22012 22455 27515 28942 29940 33018 43413 44910 49527 55030 57884 66036 72355 82545 86826 89820 99054 110060 130239 144710 159587 165090 173652 198108 217065 247635 260478 289420 319174 330180 434130 478761 495270 520956 638348 651195 797935 868260 957522 990540 1302390 1436283 1595870 1915044 2393805 2604780 2745997 2872566 3191740 4787610 5491994 5745132 7181415 8237991 9575220 10983988 13729985 14362830 16475982 24713973 27459970 28725660 32951964 41189955 49427946 54919940 79633913 82379910 98855892 123569865 159267826 164759820 238901739 247139730 318535652 398169565 477803478 494279460 716705217 796339130 955606956 1194508695 1433410434 1592678260 2389017390 2866820868 3583526085 4778034780 7167052170 14334104340