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14200099575 = 35217372411249
BaseRepresentation
bin11010011100110010…
…00101001011110111
31100122121222210120220
431032121011023313
5213040211141300
610305021225423
71011614566134
oct151631051367
940577883526
1014200099575
116027649a92
122903702273
131453bcc5ac
14989cc358b
155819abda0
hex34e6452f7

14200099575 has 96 divisors (see below), whose sum is σ = 25656840000. Its totient is φ = 6900940800.

The previous prime is 14200099549. The next prime is 14200099579. The reversal of 14200099575 is 57599000241.

It is a de Polignac number, because none of the positive numbers 2k-14200099575 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200099579) 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 95 ways as a sum of consecutive naturals, for example, 11368551 + ... + 11369799.

It is an arithmetic number, because the mean of its divisors is an integer number (267258750).

Almost surely, 214200099575 is an apocalyptic number.

14200099575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14200099575 is a deficient number, since it is larger than the sum of its proper divisors (11456740425).

14200099575 is a wasteful number, since it uses less digits than its factorization.

14200099575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 14200099575 in words is "fourteen billion, two hundred million, ninety-nine thousand, five hundred seventy-five".

Divisors: 1 3 5 15 17 25 37 51 75 85 111 185 241 255 425 555 629 723 925 1205 1249 1275 1887 2775 3145 3615 3747 4097 6025 6245 8917 9435 12291 15725 18075 18735 20485 21233 26751 31225 44585 46213 47175 61455 63699 93675 102425 106165 133755 138639 151589 222925 231065 301009 307275 318495 454767 530825 668775 693195 757945 785621 903027 1155325 1505045 1592475 2273835 2356863 3465975 3789725 3928105 4515135 5117153 7525225 11137333 11369175 11784315 15351459 19640525 22575675 25585765 33411999 55686665 58921575 76757295 127928825 167059995 189334661 278433325 383786475 568003983 835299975 946673305 2840019915 4733366525 14200099575