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14246497680 = 2435281211247
BaseRepresentation
bin11010100010010100…
…00100110110010000
31100202212022001211020
431101022010312100
5213134100411210
610313355515440
71013020142442
oct152112046620
940685261736
1014246497680
11605085a628
122917158b80
1314606c63ac
14992120492
15585ac4770
hex351284d90

14246497680 has 80 divisors (see below), whose sum is σ = 44321520384. Its totient is φ = 3785528320.

The previous prime is 14246497619. The next prime is 14246497697. The reversal of 14246497680 is 8679464241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×142464976802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38184 + ... + 173063.

Almost surely, 214246497680 is an apocalyptic number.

14246497680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14246497680 is an abundant number, since it is smaller than the sum of its proper divisors (30075022704).

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

14246497680 is a wasteful number, since it uses less digits than its factorization.

14246497680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211544 (or 211538 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 14246497680 in words is "fourteen billion, two hundred forty-six million, four hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 11240 13488 16860 22480 33720 67440 211247 422494 633741 844988 1056235 1267482 1689976 2112470 2534964 3168705 3379952 4224940 5069928 6337410 8449880 10139856 12674820 16899760 25349640 50699280 59360407 118720814 178081221 237441628 296802035 356162442 474883256 593604070 712324884 890406105 949766512 1187208140 1424649768 1780812210 2374416280 2849299536 3561624420 4748832560 7123248840 14246497680