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830241355014 = 232233164690771
BaseRepresentation
bin11000001010011100011…
…11011011010100000110
32221100222221120202012100
430011032033123110012
5102100313241330024
61433224013332530
7113661104035551
oct14051617332406
92840887522170
10830241355014
112a0115667385
12114aa6197146
13603a3348296
142c280879698
15168e31e37c9
hexc14e3db506

830241355014 has 48 divisors (see below), whose sum is σ = 1937618002944. Its totient is φ = 256175449200.

The previous prime is 830241354973. The next prime is 830241355049. The reversal of 830241355014 is 410553142038.

830241355014 is a `hidden beast` number, since 83 + 0 + 2 + 4 + 13 + 550 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 830241355014.

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 23 ways as a sum of consecutive naturals, for example, 32332552 + ... + 32358219.

It is an arithmetic number, because the mean of its divisors is an integer number (40367041728).

Almost surely, 2830241355014 is an apocalyptic number.

830241355014 is an abundant number, since it is smaller than the sum of its proper divisors (1107376647930).

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

830241355014 is a wasteful number, since it uses less digits than its factorization.

830241355014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64690833 (or 64690830 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 830241355014 in words is "eight hundred thirty billion, two hundred forty-one million, three hundred fifty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 2139 4278 6417 12834 64690771 129381542 194072313 388144626 582216939 1164433878 1487887733 2005413901 2975775466 4010827802 4463663199 6016241703 8927326398 12032483406 13390989597 18048725109 26781979194 36097450218 46124519723 92249039446 138373559169 276747118338 415120677507 830241355014