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14424764500416 = 263178215382889
BaseRepresentation
bin1101000111101000011011…
…1101101100100111000000
31220001222211122021021212110
43101322012331230213000
53342313404203003131
650402351220255320
73016104053133204
oct321720675544700
956058748237773
1014424764500416
114661565564756
12174b748541540
1380833209221a
1437c23b5d4b04
151a034b99b646
hexd1e86f6c9c0

14424764500416 has 112 divisors (see below), whose sum is σ = 40459782143520. Its totient is φ = 4519903395840.

The previous prime is 14424764500411. The next prime is 14424764500427. The reversal of 14424764500416 is 61400546742441.

14424764500416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424764500411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11701 + ... + 5371188.

Almost surely, 214424764500416 is an apocalyptic number.

14424764500416 is a gapful number since it is divisible by the number (16) 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 14424764500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229891071760).

14424764500416 is an abundant number, since it is smaller than the sum of its proper divisors (26035017643104).

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

14424764500416 is a wasteful number, since it uses less digits than its factorization.

14424764500416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383742 (or 5383732 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 14424764500416 in words is "fourteen trillion, four hundred twenty-four billion, seven hundred sixty-four million, five hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 821 1088 1632 1642 2463 3264 3284 4926 6568 9852 13136 13957 19704 26272 27914 39408 41871 52544 55828 78816 83742 111656 157632 167484 223312 334968 446624 669936 893248 1339872 2679744 5382889 10765778 16148667 21531556 32297334 43063112 64594668 86126224 91509113 129189336 172252448 183018226 258378672 274527339 344504896 366036452 516757344 549054678 732072904 1033514688 1098109356 1464145808 2196218712 2928291616 4392437424 4419351869 5856583232 8784874848 8838703738 13258055607 17569749696 17677407476 26516111214 35354814952 53032222428 70709629904 75128981773 106064444856 141419259808 150257963546 212128889712 225386945319 282838519616 300515927092 424257779424 450773890638 601031854184 848515558848 901547781276 1202063708368 1803095562552 2404127416736 3606191125104 4808254833472 7212382250208 14424764500416