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234266553414 = 232314677731163
BaseRepresentation
bin1101101000101101011…
…1111110110001000110
3211101200102211221212100
43122023113332301012
512314234214202124
6255342013132530
722632225564045
oct3321327766106
9741612757770
10234266553414
11903963a8a33
123949b48a146
13191255c2a9a
14b4a502855c
1561619271c9
hex368b5fec46

234266553414 has 96 divisors (see below), whose sum is σ = 526204283904. Its totient is φ = 75245728320.

The previous prime is 234266553413. The next prime is 234266553439. The reversal of 234266553414 is 414355662432.

234266553414 is a `hidden beast` number, since 2 + 3 + 42 + 6 + 65 + 534 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 234266553414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234266553413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201432397 + ... + 201433559.

It is an arithmetic number, because the mean of its divisors is an integer number (5481294624).

Almost surely, 2234266553414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234266553414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263102141952).

234266553414 is an abundant number, since it is smaller than the sum of its proper divisors (291937730490).

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

234266553414 is a wasteful number, since it uses less digits than its factorization.

234266553414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2439 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 234266553414 in words is "two hundred thirty-four billion, two hundred sixty-six million, five hundred fifty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 467 558 773 934 1163 1401 1546 2319 2326 2802 3489 4203 4638 6957 6978 8406 10467 13914 14477 20934 23963 28954 36053 43431 47926 71889 72106 86862 108159 130293 143778 215667 216318 260586 324477 360991 431334 543121 648954 721982 898999 1082973 1086242 1629363 1797998 2165946 2696997 3248919 3258726 4888089 5393994 6497838 8090991 9776178 11190721 16181982 16836751 22381442 27868969 33572163 33673502 50510253 55737938 67144326 83606907 100716489 101020506 151530759 167213814 201432978 250820721 303061518 419832533 501641442 839665066 1259497599 2518995198 3778492797 7556985594 13014808523 26029617046 39044425569 78088851138 117133276707 234266553414