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14356942768 = 247629263
BaseRepresentation
bin11010101111011110…
…11000111110110000
31101001120010021000001
431113233120332300
5213400334132033
610332343035344
71015531000000
oct152757307660
941046107001
1014356942768
1160a8135663
12294813bb54
13147a55620c
149a2a70000
1559063de7d
hex357bd8fb0

14356942768 has 140 divisors (see below), whose sum is σ = 33699338640. Its totient is φ = 5918215296.

The previous prime is 14356942757. The next prime is 14356942771. The reversal of 14356942768 is 86724965341.

It is a super-2 number, since 2×143569427682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54589005 + ... + 54589267.

Almost surely, 214356942768 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 14356942768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849669320).

14356942768 is an abundant number, since it is smaller than the sum of its proper divisors (19342395872).

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

14356942768 is an frugal number, since it uses more digits than its factorization.

14356942768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 301 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The spelling of 14356942768 in words is "fourteen billion, three hundred fifty-six million, nine hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 263 343 392 406 464 526 686 784 812 1052 1372 1421 1624 1841 2104 2401 2744 2842 3248 3682 4208 4802 5488 5684 7364 7627 9604 9947 11368 12887 14728 15254 16807 19208 19894 22736 25774 29456 30508 33614 38416 39788 51548 53389 61016 67228 69629 79576 90209 103096 106778 117649 122032 134456 139258 159152 180418 206192 213556 235298 268912 278516 360836 373723 427112 470596 487403 557032 631463 721672 747446 854224 941192 974806 1114064 1262926 1443344 1494892 1882384 1949612 2525852 2616061 2989784 3411821 3899224 4420241 5051704 5232122 5979568 6823642 7798448 8840482 10103408 10464244 13647284 17680964 18312427 20928488 27294568 30941687 35361928 36624854 41856976 54589136 61883374 70723856 73249708 123766748 128186989 146499416 247533496 256373978 292998832 495066992 512747956 897308923 1025495912 1794617846 2050991824 3589235692 7178471384 14356942768