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214312312440 = 23325595311979
BaseRepresentation
bin1100011110011000000…
…0100101111001111000
3202111011210102111012100
43013212000211321320
512002402422444230
6242242000343400
721324600412302
oct3074600457170
9674153374170
10214312312440
1182986793396
1235650914b60
131729554a0c5
14a530c54972
155894be9660
hex31e6025e78

214312312440 has 48 divisors (see below), whose sum is σ = 696515016600. Its totient is φ = 57149949888.

The previous prime is 214312312439. The next prime is 214312312441. The reversal of 214312312440 is 44213213412.

214312312440 is a `hidden beast` number, since 214 + 3 + 1 + 2 + 3 + 1 + 2 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (214312312439) and next prime (214312312441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214312312441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297655630 + ... + 297656349.

Almost surely, 2214312312440 is an apocalyptic number.

214312312440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214312312440 is an abundant number, since it is smaller than the sum of its proper divisors (482202704160).

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

214312312440 is a wasteful number, since it uses less digits than its factorization.

214312312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595311996 (or 595311989 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214312312440 its reverse (44213213412), we get a palindrome (258525525852).

The spelling of 214312312440 in words is "two hundred fourteen billion, three hundred twelve million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 595311979 1190623958 1785935937 2381247916 2976559895 3571871874 4762495832 5357807811 5953119790 7143743748 8929679685 10715615622 11906239580 14287487496 17859359370 21431231244 23812479160 26789039055 35718718740 42862462488 53578078110 71437437480 107156156220 214312312440