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14223104040 = 2335596132933
BaseRepresentation
bin11010011111100001…
…10101100000101000
31100201020021112210010
431033300311200220
5213112103312130
610311202251520
71012314250425
oct151760654050
940636245703
1014223104040
116039631642
12290b356ba0
1314588c53c2
1498cd90d4c
15583a030b0
hex34fc35828

14223104040 has 128 divisors (see below), whose sum is σ = 44105212800. Its totient is φ = 3667307520.

The previous prime is 14223104033. The next prime is 14223104053. The reversal of 14223104040 is 4040132241.

It is a junction number, because it is equal to n+sod(n) for n = 14223103998 and 14223104016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415414 + ... + 448346.

It is an arithmetic number, because the mean of its divisors is an integer number (344571975).

Almost surely, 214223104040 is an apocalyptic number.

14223104040 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 14223104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052606400).

14223104040 is an abundant number, since it is smaller than the sum of its proper divisors (29882108760).

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

14223104040 is a wasteful number, since it uses less digits than its factorization.

14223104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33067 (or 33063 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14223104040 its reverse (4040132241), we get a palindrome (18263236281).

The spelling of 14223104040 in words is "fourteen billion, two hundred twenty-three million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 61 118 120 122 177 183 236 244 295 305 354 366 472 488 590 610 708 732 885 915 1180 1220 1416 1464 1770 1830 2360 2440 3540 3599 3660 7080 7198 7320 10797 14396 17995 21594 28792 32933 35990 43188 53985 65866 71980 86376 98799 107970 131732 143960 164665 197598 215940 263464 329330 395196 431880 493995 658660 790392 987990 1317320 1943047 1975980 2008913 3886094 3951960 4017826 5829141 6026739 7772188 8035652 9715235 10044565 11658282 12053478 15544376 16071304 19430470 20089130 23316564 24106956 29145705 30133695 38860940 40178260 46633128 48213912 58291410 60267390 77721880 80356520 116582820 118525867 120534780 233165640 237051734 241069560 355577601 474103468 592629335 711155202 948206936 1185258670 1422310404 1777888005 2370517340 2844620808 3555776010 4741034680 7111552020 14223104040