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16443230440 = 23571313993229
BaseRepresentation
bin11110101000001011…
…11100100011101000
31120102221211122122211
433110011330203220
5232133431333230
611315351254504
71121323103230
oct172405744350
946387748584
1016443230440
116a7885844a
12322a97a434
131720852870
14b1db8acc0
1566389842a
hex3d417c8e8

16443230440 has 128 divisors (see below), whose sum is σ = 45581760000. Its totient is φ = 5198681088.

The previous prime is 16443230423. The next prime is 16443230471. The reversal of 16443230440 is 4403234461.

16443230440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164432304403 (a number of 32 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5090746 + ... + 5093974.

It is an arithmetic number, because the mean of its divisors is an integer number (356107500).

Almost surely, 216443230440 is an apocalyptic number.

16443230440 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 16443230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790880000).

16443230440 is an abundant number, since it is smaller than the sum of its proper divisors (29138529560).

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

16443230440 is a wasteful number, since it uses less digits than its factorization.

16443230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 16443230440 in words is "sixteen billion, four hundred forty-three million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1399 1820 2798 3229 3640 5596 6458 6995 9793 11192 12916 13990 16145 18187 19586 22603 25832 27980 32290 36374 39172 41977 45206 48965 55960 64580 72748 78344 83954 90412 90935 97930 113015 127309 129160 145496 167908 180824 181870 195860 209885 226030 254618 293839 335816 363740 391720 419770 452060 509236 587678 636545 727480 839540 904120 1018472 1175356 1273090 1469195 1679080 2350712 2546180 2938390 4517371 5092360 5876780 9034742 11753560 18069484 22586855 31621597 36138968 45173710 58725823 63243194 90347420 117451646 126486388 158107985 180694840 234903292 252972776 293629115 316215970 411080761 469806584 587258230 632431940 822161522 1174516460 1264863880 1644323044 2055403805 2349032920 3288646088 4110807610 8221615220 16443230440