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214312422404440 = 23573140867521021
BaseRepresentation
bin110000101110101001111111…
…110011101111000101011000
31001002211001211012102120101101
4300232221333303233011120
5211042243320113420230
62035445433453001144
763066363420421303
oct6056517763570530
91032731735376341
10214312422404440
116231742a374588
12200532247831b4
1392777618604a9
143accac2d69b3a
1519b9b58008aca
hexc2ea7fcef158

214312422404440 has 64 divisors (see below), whose sum is σ = 488812878459360. Its totient is φ = 84549891824640.

The previous prime is 214312422404393. The next prime is 214312422404441. The reversal of 214312422404440 is 44404224213412.

It is a self number, because there is not a number n which added to its sum of digits gives 214312422404440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214312422404441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411071130 + ... + 411592150.

Almost surely, 2214312422404440 is an apocalyptic number.

214312422404440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214312422404440 is an abundant number, since it is smaller than the sum of its proper divisors (274500456054920).

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

214312422404440 is a wasteful number, since it uses less digits than its factorization.

214312422404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661972 (or 661968 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 214312422404440 its reverse (44404224213412), we get a palindrome (258716646617852).

The spelling of 214312422404440 in words is "two hundred fourteen trillion, three hundred twelve billion, four hundred twenty-two million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 140867 281734 521021 563468 704335 1042042 1126936 1408670 2084084 2605105 2817340 4168168 5210210 5634680 10283291 10420420 20566582 20840840 38034533 41133164 51416455 76069066 82266328 102832910 152138132 190172665 205665820 304276264 380345330 411331640 760690660 1521381320 73394665207 146789330414 293578660828 366973326035 587157321656 733946652070 1467893304140 2935786608280 5357810560111 10715621120222 21431242240444 26789052800555 42862484480888 53578105601110 107156211202220 214312422404440