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214438242564099 = 32237878091627079
BaseRepresentation
bin110000110000011111001011…
…010001100011100000000011
31001010021002120211020220222200
4300300133023101203200003
5211101324010044022344
62040023322455404243
763111436361220231
oct6060371321434003
91033232524226880
10214438242564099
1162365825596804
1220073699683683
1392865937972c8
143ad4c1b269951
1519bd06de21069
hexc307cb463803

214438242564099 has 48 divisors (see below), whose sum is σ = 324022178188800. Its totient is φ = 136400578098048.

The previous prime is 214438242564047. The next prime is 214438242564121. The reversal of 214438242564099 is 990465242834412.

214438242564099 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 3 + 82 + 425 + 6 + 40 + 99 = 666.

It is a Cunningham number, because it is equal to 146437102-1.

It is not a de Polignac number, because 214438242564099 - 27 = 214438242563971 is a prime.

It is a super-2 number, since 2×2144382425640992 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214438242564899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130979842 + ... + 132606920.

It is an arithmetic number, because the mean of its divisors is an integer number (6750462045600).

Almost surely, 2214438242564099 is an apocalyptic number.

214438242564099 is a deficient number, since it is larger than the sum of its proper divisors (109583935624701).

214438242564099 is a wasteful number, since it uses less digits than its factorization.

214438242564099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628704 (or 1628701 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 214438242564099 in words is "two hundred fourteen trillion, four hundred thirty-eight billion, two hundred forty-two million, five hundred sixty-four thousand, ninety-nine".

Divisors: 1 3 9 23 69 207 787 809 2361 2427 7083 7281 18101 18607 54303 55821 162909 167463 636683 1627079 1910049 4881237 5730147 14643709 14643711 37422817 43931127 112268451 131793381 336805353 1280511173 1316306911 3841533519 3948920733 11524600557 11846762199 29451756979 30275058953 88355270937 90825176859 265065812811 272475530577 1035933538957 3107800616871 9323401850613 23826471396011 71479414188033 214438242564099