Search a number
-
+
121427442 = 232192343359
BaseRepresentation
bin1110011110011…
…01010111110010
322110111011010200
413033031113302
5222041134232
620014340030
73003054603
oct717152762
9273434120
10121427442
11625a7264
12347ba616
131c206876
14121abdaa
15a9d877c
hex73cd5f2

121427442 has 96 divisors (see below), whose sum is σ = 296524800. Its totient is φ = 35725536.

The previous prime is 121427429. The next prime is 121427459. The reversal of 121427442 is 244724121.

121427442 is a `hidden beast` number, since 1 + 214 + 2 + 7 + 442 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338059 + ... + 338417.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2121427442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121427442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

121427442 is an abundant number, since it is smaller than the sum of its proper divisors (175097358).

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

121427442 is a wasteful number, since it uses less digits than its factorization.

121427442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 121427442 is about 11019.4120532812. The cubic root of 121427442 is about 495.1904745998.

The spelling of 121427442 in words is "one hundred twenty-one million, four hundred twenty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 43 46 57 69 86 114 129 138 171 207 258 342 359 387 414 437 718 774 817 874 989 1077 1311 1634 1978 2154 2451 2622 2967 3231 3933 4902 5934 6462 6821 7353 7866 8257 8901 13642 14706 15437 16514 17802 18791 20463 24771 30874 37582 40926 46311 49542 56373 61389 74313 92622 112746 122778 138933 148626 156883 169119 277866 293303 313766 338238 355051 470649 586606 710102 879909 941298 1065153 1411947 1759818 2130306 2639727 2823894 3195459 5279454 6390918 6745969 13491938 20237907 40475814 60713721 121427442