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214077123216 = 2432111031312133
BaseRepresentation
bin1100011101011111111…
…1011010101010010000
3202110120101212122020100
43013113333122222100
512001412220420331
6242202355412400
721316013344365
oct3072777325220
9673511778210
10214077123216
1182875a56230
12355a5bb4100
13172588c1b98
14a50b91246c
15587e23dae6
hex31d7fdaa90

214077123216 has 120 divisors (see below), whose sum is σ = 659929922496. Its totient is φ = 64241982720.

The previous prime is 214077123199. The next prime is 214077123233. The reversal of 214077123216 is 612321770412.

214077123216 is a `hidden beast` number, since 2 + 1 + 407 + 7 + 1 + 232 + 16 = 666.

214077123216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214077123199) and next prime (214077123233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492915 + ... + 819218.

Almost surely, 2214077123216 is an apocalyptic number.

It is an amenable number.

214077123216 is an abundant number, since it is smaller than the sum of its proper divisors (445852799280).

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

214077123216 is a wasteful number, since it uses less digits than its factorization.

214077123216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312261 (or 1312252 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 214077123216 its reverse (612321770412), we get a palindrome (826398893628).

The spelling of 214077123216 in words is "two hundred fourteen billion, seventy-seven million, one hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 792 824 927 1133 1236 1584 1648 1854 2266 2472 3399 3708 4532 4944 6798 7416 9064 10197 13596 14832 18128 20394 27192 40788 54384 81576 163152 1312133 2624266 3936399 5248532 7872798 10497064 11809197 14433463 15745596 20994128 23618394 28866926 31491192 43300389 47236788 57733852 62982384 86600778 94473576 115467704 129901167 135149699 173201556 188947152 230935408 259802334 270299398 346403112 405449097 519604668 540598796 692806224 810898194 1039209336 1081197592 1216347291 1486646689 1621796388 2078418672 2162395184 2432694582 2973293378 3243592776 4459940067 4865389164 5946586756 6487185552 8919880134 9730778328 11893173512 13379820201 17839760268 19461556656 23786347024 26759640402 35679520536 53519280804 71359041072 107038561608 214077123216