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214043313144 = 233145124172543
BaseRepresentation
bin1100011101010111111…
…0011100001111111000
3202110111001020220112110
43013111332130033320
512001330042010034
6242155151012320
721315123066633
oct3072576341770
9673431226473
10214043313144
1182858963221
123559680a0a0
13172518b491b
14a507230c1a
15587b2b0de9
hex31d5f9c3f8

214043313144 has 64 divisors (see below), whose sum is σ = 535909271040. Its totient is φ = 71241075200.

The previous prime is 214043313137. The next prime is 214043313179. The reversal of 214043313144 is 441313340412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84168337 + ... + 84170879.

It is an arithmetic number, because the mean of its divisors is an integer number (8373582360).

Almost surely, 2214043313144 is an apocalyptic number.

214043313144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214043313144 is an abundant number, since it is smaller than the sum of its proper divisors (321865957896).

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

214043313144 is a wasteful number, since it uses less digits than its factorization.

214043313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 214043313144 its reverse (441313340412), we get a palindrome (655356653556).

The spelling of 214043313144 in words is "two hundred fourteen billion, forty-three million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1451 2417 2543 2902 4353 4834 5086 5804 7251 7629 8706 9668 10172 11608 14502 15258 17412 19336 20344 29004 30516 34824 58008 61032 3507067 3689893 6146431 7014134 7379786 10521201 11069679 12292862 14028268 14759572 18439293 21042402 22139358 24585724 28056536 29519144 36878586 42084804 44278716 49171448 73757172 84169608 88557432 147514344 8918471381 17836942762 26755414143 35673885524 53510828286 71347771048 107021656572 214043313144