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214124304142132 = 2210311291637281207
BaseRepresentation
bin110000101011111010110011…
…000101100000111100110100
31001002011002020220201200211221
4300223322303011200330310
5211031203033330022012
62035223203005440124
763046653603525046
oct6053726305407464
91032132226650757
10214124304142132
116225467552a80a
1220022884270044
139262ab2039b47
143ac3958cbda96
1519b4ce7c44507
hexc2beb3160f34

214124304142132 has 48 divisors (see below), whose sum is σ = 378923370658560. Its totient is φ = 105863719617792.

The previous prime is 214124304142129. The next prime is 214124304142187. The reversal of 214124304142132 is 231241403421412.

214124304142132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761306673 + ... + 761587879.

It is an arithmetic number, because the mean of its divisors is an integer number (7894236888720).

Almost surely, 2214124304142132 is an apocalyptic number.

It is an amenable number.

214124304142132 is a deficient number, since it is larger than the sum of its proper divisors (164799066516428).

214124304142132 is a wasteful number, since it uses less digits than its factorization.

214124304142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284080 (or 284078 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 214124304142132 its reverse (231241403421412), we get a palindrome (445365707563544).

The spelling of 214124304142132 in words is "two hundred fourteen trillion, one hundred twenty-four billion, three hundred four million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 103 206 412 1129 1637 2258 3274 4516 6548 116287 168611 232574 281207 337222 465148 562414 674444 1124828 1848173 3696346 7392692 28964321 57928642 115857284 190361819 317482703 380723638 460335859 634965406 761447276 920671718 1269930812 1841343436 32700718409 47414593477 65401436818 94829186954 130802873636 189658373908 519719184811 1039438369622 2078876739244 53531076035533 107062152071066 214124304142132