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214141264516 = 2240125772
BaseRepresentation
bin1100011101101111010…
…0000110001010000100
3202110201212120100120001
43013123310012022010
512002030130431031
6242213010251044
721320422500304
oct3073364061204
9673655510501
10214141264516
11828a9185573
1235603586a84
1317268c8bb0a
14a51624b604
155884bad861
hex31dbd06284

214141264516 has 27 divisors (see below), whose sum is σ = 376336302447. Its totient is φ = 106618521600.

The previous prime is 214141264433. The next prime is 214141264531. The reversal of 214141264516 is 615462141412.

The square root of 214141264516 is 462754.

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

It can be written as a sum of positive squares in 4 ways, for example, as 207034100100 + 7107164416 = 455010^2 + 84304^2 .

It is a super-2 number, since 2×2141412645162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371128420 + ... + 371128996.

Almost surely, 2214141264516 is an apocalyptic number.

214141264516 is the 462754-th square number.

It is an amenable number.

214141264516 is a deficient number, since it is larger than the sum of its proper divisors (162195037931).

214141264516 is an frugal number, since it uses more digits than its factorization.

214141264516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 980 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The spelling of 214141264516 in words is "two hundred fourteen billion, one hundred forty-one million, two hundred sixty-four thousand, five hundred sixteen".

Divisors: 1 2 4 401 577 802 1154 1604 2308 160801 231377 321602 332929 462754 643204 665858 925508 1331716 92782177 133504529 185564354 267009058 371128708 534018116 53535316129 107070632258 214141264516