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214150400040114 = 23343342592692043
BaseRepresentation
bin110000101100010011000110…
…100001011101110010110010
31001002020120121120202200002000
4300230103012201131302302
5211032120004402240424
62035243200255234430
763051566356146216
oct6054230641356262
91032216546680060
10214150400040114
1162264746a2a14a
1220027947818a16
1392653b0618bb5
143ac4d12a18946
1519b5823c3c3c9
hexc2c4c685dcb2

214150400040114 has 64 divisors (see below), whose sum is σ = 486971376883200. Its totient is φ = 69721324976016.

The previous prime is 214150400040067. The next prime is 214150400040173. The reversal of 214150400040114 is 411040004051412.

It is a happy number.

214150400040114 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 504 + 0 + 0 + 0 + 40 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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, 78203377 + ... + 80895419.

It is an arithmetic number, because the mean of its divisors is an integer number (7608927763800).

Almost surely, 2214150400040114 is an apocalyptic number.

214150400040114 is an abundant number, since it is smaller than the sum of its proper divisors (272820976843086).

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

214150400040114 is a wasteful number, since it uses less digits than its factorization.

214150400040114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726356 (or 2726350 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 214150400040114 its reverse (411040004051412), we get a palindrome (625190404091526).

The spelling of 214150400040114 in words is "two hundred fourteen trillion, one hundred fifty billion, four hundred million, forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 34259 68518 102777 205554 308331 616662 924993 1473137 1849986 2692043 2946274 4419411 5384086 8076129 8838822 13258233 16152258 24228387 26516466 39774699 48456774 72685161 79549398 115757849 145370322 231515698 347273547 694547094 1041820641 2083641282 3125461923 6250923846 92226701137 184453402274 276680103411 553360206822 830040310233 1660080620466 2490120930699 3965748148891 4980241861398 7931496297782 11897244446673 23794488893346 35691733340019 71383466680038 107075200020057 214150400040114