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214434077493048 = 23371276393318411
BaseRepresentation
bin110000110000011011010011…
…000001000100011100111000
31001010020200211112221101121220
4300300123103001010130320
5211101241442314234143
62040021353311432040
763111231224544030
oct6060332301043470
91033220745841556
10214434077493048
1162363a88507226
1220072916825620
13928607b8cac1a
143ad49440268c0
1519bcdc8440d83
hexc306d3044738

214434077493048 has 32 divisors (see below), whose sum is σ = 612668792837760. Its totient is φ = 61266879283680.

The previous prime is 214434077493011. The next prime is 214434077493059. The reversal of 214434077493048 is 840394770434412.

It is a super-3 number, since 3×2144340774930483 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214434077492982 and 214434077493000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638196659038 + ... + 638196659373.

It is an arithmetic number, because the mean of its divisors is an integer number (19145899776180).

Almost surely, 2214434077493048 is an apocalyptic number.

214434077493048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214434077493048 is an abundant number, since it is smaller than the sum of its proper divisors (398234715344712).

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

214434077493048 is a wasteful number, since it uses less digits than its factorization.

214434077493048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276393318427 (or 1276393318423 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 214434077493048 in words is "two hundred fourteen trillion, four hundred thirty-four billion, seventy-seven million, four hundred ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1276393318411 2552786636822 3829179955233 5105573273644 7658359910466 8934753228877 10211146547288 15316719820932 17869506457754 26804259686631 30633439641864 35739012915508 53608519373262 71478025831016 107217038746524 214434077493048