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214214016145245 = 35292278221263881
BaseRepresentation
bin110000101101001110010110…
…010101101001011101011101
31001002110122211002200122111220
4300231032112111221131131
5211034140301113121440
62035332321021203553
763056311005133404
oct6055162625513535
91032418732618456
10214214016145245
1162289721625546
12200381407005b9
13926b3ab2a485c
143ac802985063b
1519b72e8b838d0
hexc2d39656975d

214214016145245 has 64 divisors (see below), whose sum is σ = 356167741904640. Its totient is φ = 109808194406400.

The previous prime is 214214016145189. The next prime is 214214016145289. The reversal of 214214016145245 is 542541610412412.

It is not a de Polignac number, because 214214016145245 - 213 = 214214016137053 is a prime.

It is a super-2 number, since 2×2142140161452452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214214016145197 and 214214016145206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811650705 + ... + 811914585.

It is an arithmetic number, because the mean of its divisors is an integer number (5565120967260).

Almost surely, 2214214016145245 is an apocalyptic number.

It is an amenable number.

214214016145245 is a deficient number, since it is larger than the sum of its proper divisors (141953725759395).

214214016145245 is a wasteful number, since it uses less digits than its factorization.

214214016145245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272366.

The product of its (nonzero) digits is 307200, while the sum is 42.

Adding to 214214016145245 its reverse (542541610412412), we get a palindrome (756755626557657).

The spelling of 214214016145245 in words is "two hundred fourteen trillion, two hundred fourteen billion, sixteen million, one hundred forty-five thousand, two hundred forty-five".

Divisors: 1 3 5 15 29 87 145 227 435 681 1135 3405 6583 8221 19749 24663 32915 41105 98745 123315 238409 263881 715227 791643 1192045 1319405 1866167 3576135 3958215 5598501 7652549 9330835 22957647 27992505 38262745 54118843 59900987 114788235 162356529 179702961 270594215 299504935 811782645 898514805 1737128623 2169365701 5211385869 6508097103 8685643115 10846828505 26056929345 32540485515 62911605329 188734815987 314558026645 492446014127 943674079935 1477338042381 2462230070635 7386690211905 14280934409683 42842803229049 71404672048415 214214016145245