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214312375080 = 23325738154961
BaseRepresentation
bin1100011110011000000…
…0110101001100101000
3202111011210112200010100
43013212000311030220
512002402432000310
6242242001545400
721324601063026
oct3074600651450
9674153480110
10214312375080
1182986826461
1235650945260
131729556c77b
14a530c6d716
155894c0cec0
hex31e6035328

214312375080 has 96 divisors (see below), whose sum is σ = 706056609960. Its totient is φ = 56367083520.

The previous prime is 214312375063. The next prime is 214312375097. The reversal of 214312375080 is 80573213412.

214312375080 is a `hidden beast` number, since 2 + 143 + 1 + 2 + 3 + 7 + 508 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214312375063) and next prime (214312375097).

It can be written as a sum of positive squares in 4 ways, for example, as 135722980836 + 78589394244 = 368406^2 + 280338^2 .

It is a super-2 number, since 2×2143123750802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4051201 + ... + 4103760.

Almost surely, 2214312375080 is an apocalyptic number.

214312375080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214312375080 is an abundant number, since it is smaller than the sum of its proper divisors (491744234880).

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

214312375080 is a wasteful number, since it uses less digits than its factorization.

214312375080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8155051 (or 8155044 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 214312375080 its reverse (80573213412), we get a palindrome (294885588492).

The spelling of 214312375080 in words is "two hundred fourteen billion, three hundred twelve million, three hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 8154961 16309922 24464883 32619844 40774805 48929766 65239688 73394649 81549610 97859532 122324415 146789298 163099220 195719064 244648830 293578596 326198440 366973245 489297660 587157192 595312153 733946490 978595320 1190624306 1467892980 1785936459 2381248612 2935785960 2976560765 3571872918 4762497224 5357809377 5953121530 7143745836 8929682295 10715618754 11906243060 14287491672 17859364590 21431237508 23812486120 26789046885 35718729180 42862475016 53578093770 71437458360 107156187540 214312375080