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14297201194896 = 24323150972
BaseRepresentation
bin1101000000001101001110…
…0110010011011110010000
31212121210120112101221200100
43100003103212103132100
53333221132001214041
650224013224052400
73003636655002324
oct320032346233620
955553515357610
1014297201194896
114612455390214
12172aa87904100
137c92b2c83459
14375db99bb984
1519bd82a0b6b6
hexd00d3993790

14297201194896 has 45 divisors (see below), whose sum is σ = 40012433106321. Its totient is φ = 4765718606976.

The previous prime is 14297201194831. The next prime is 14297201194943. The reversal of 14297201194896 is 69849110279241.

The square root of 14297201194896 is 3781164.

It is a perfect power (a square), and thus also a powerful number.

14297201194896 is a `hidden beast` number, since 1 + 4 + 297 + 201 + 19 + 48 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6806776640400 + 7490424554496 = 2608980^2 + 2736864^2 .

It is a super-2 number, since 2×142972011948962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 45216420 + ... + 45531516.

Almost surely, 214297201194896 is an apocalyptic number.

14297201194896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14297201194896 is the 3781164-th square number.

It is an amenable number.

14297201194896 is an abundant number, since it is smaller than the sum of its proper divisors (25715231911425).

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

14297201194896 is an frugal number, since it uses more digits than its factorization.

14297201194896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630208 (or 315102 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 14297201194896 in words is "fourteen trillion, two hundred ninety-seven billion, two hundred one million, one hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 315097 630194 945291 1260388 1890582 2520776 2835873 3781164 5041552 5671746 7562328 11343492 15124656 22686984 45373968 99286119409 198572238818 297858358227 397144477636 595716716454 794288955272 893575074681 1191433432908 1588577910544 1787150149362 2382866865816 3574300298724 4765733731632 7148600597448 14297201194896