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214024400330142 = 23379831069917443
BaseRepresentation
bin110000101010011101110000…
…010110101101110110011110
31001001210112101110002012202010
4300222131300112231312132
5211023033432441031032
62035105241400212050
763036516105244053
oct6052356026556636
91031715343065663
10214024400330142
1162216269422136
122000744276a026
139256550437aac
143abcb9c93b02a
1519b23ec1a9ccc
hexc2a7705add9e

214024400330142 has 64 divisors (see below), whose sum is σ = 440477048056320. Its totient is φ = 69277762871424.

The previous prime is 214024400330137. The next prime is 214024400330159. The reversal of 214024400330142 is 241033004420412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232824873 + ... + 233742315.

It is an arithmetic number, because the mean of its divisors is an integer number (6882453875880).

Almost surely, 2214024400330142 is an apocalyptic number.

214024400330142 is an abundant number, since it is smaller than the sum of its proper divisors (226452647726178).

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

214024400330142 is a wasteful number, since it uses less digits than its factorization.

214024400330142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919537.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 214024400330142 its reverse (241033004420412), we get a palindrome (455057404750554).

The spelling of 214024400330142 in words is "two hundred fourteen trillion, twenty-four billion, four hundred million, three hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 37 74 111 222 983 1069 1966 2138 2949 3207 5898 6414 36371 39553 72742 79106 109113 118659 218226 237318 917443 1050827 1834886 2101654 2752329 3152481 5504658 6304962 33945391 38880599 67890782 77761198 101836173 116641797 203672346 233283594 901846469 980746567 1803692938 1961493134 2705539407 2942239701 5411078814 5884479402 33368319353 36287622979 66736638706 72575245958 100104958059 108862868937 200209916118 217725737874 964073875361 1928147750722 2892221626083 5784443252166 35670733388357 71341466776714 107012200165071 214024400330142