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14351055312 = 24311792691279
BaseRepresentation
bin11010101110110001…
…11011100111010000
31101001011001010221010
431113120323213100
5213342332232222
610332012530520
71015426646256
oct152730734720
941034033833
1014351055312
1160a48842a0
122946180a40
131479274509
149a1d7a5d6
1558ed7980c
hex35763b9d0

14351055312 has 160 divisors (see below), whose sum is σ = 41140224000. Its totient is φ = 4274449920.

The previous prime is 14351055311. The next prime is 14351055317. The reversal of 14351055312 is 21355015341.

It is a self number, because there is not a number n which added to its sum of digits gives 14351055312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14351055311) by changing a digit.

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, 11219889 + ... + 11221167.

It is an arithmetic number, because the mean of its divisors is an integer number (257126400).

Almost surely, 214351055312 is an apocalyptic number.

14351055312 is a gapful number since it is divisible by the number (12) 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 14351055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112000).

14351055312 is an abundant number, since it is smaller than the sum of its proper divisors (26789168688).

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

14351055312 is a wasteful number, since it uses less digits than its factorization.

14351055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 14351055312 in words is "fourteen billion, three hundred fifty-one million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 269 316 474 528 538 632 807 869 948 1076 1264 1279 1614 1738 1896 2152 2558 2607 2959 3228 3476 3792 3837 4304 5116 5214 5918 6456 6952 7674 8877 10232 10428 11836 12912 13904 14069 15348 17754 20464 20856 21251 23672 28138 30696 35508 41712 42207 42502 47344 56276 61392 63753 71016 84414 85004 101041 112552 127506 142032 168828 170008 202082 225104 233761 255012 303123 337656 340016 344051 404164 467522 510024 606246 675312 688102 701283 808328 935044 1020048 1032153 1111451 1212492 1376204 1402566 1616656 1870088 2064306 2222902 2424984 2752408 2805132 3334353 3740176 3784561 4128612 4445804 4849968 5504816 5610264 6668706 7569122 8257224 8891608 11220528 11353683 13337412 15138244 16514448 17783216 22707366 26674824 27180029 30276488 45414732 53349648 54360058 60552976 81540087 90829464 108720116 163080174 181658928 217440232 298980319 326160348 434880464 597960638 652320696 896940957 1195921276 1304641392 1793881914 2391842552 3587763828 4783685104 7175527656 14351055312