Search a number
-
+
214154511054 = 2311233131114633
BaseRepresentation
bin1100011101110010011…
…0101000001011001110
3202110202210111100101120
43013130212220023032
512002042023323204
6242214202221410
721320643211041
oct3073446501316
9673683440346
10214154511054
1182905702920
1235607ab4866
131726b9492c3
14a517cd8c58
155885e286d9
hex31dc9a82ce

214154511054 has 128 divisors (see below), whose sum is σ = 504941838336. Its totient is φ = 59874144000.

The previous prime is 214154510989. The next prime is 214154511071. The reversal of 214154511054 is 450115451412.

214154511054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 14627722 + ... + 14642354.

It is an arithmetic number, because the mean of its divisors is an integer number (3944858112).

Almost surely, 2214154511054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214154511054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252470919168).

214154511054 is an abundant number, since it is smaller than the sum of its proper divisors (290787327282).

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

214154511054 is a wasteful number, since it uses less digits than its factorization.

214154511054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014.

The product of its (nonzero) digits is 16000, while the sum is 33.

Adding to 214154511054 its reverse (450115451412), we get a palindrome (664269962466).

The spelling of 214154511054 in words is "two hundred fourteen billion, one hundred fifty-four million, five hundred eleven thousand, fifty-four".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 311 341 506 622 682 713 759 933 1023 1426 1518 1866 2046 2139 3421 4278 6842 7153 7843 9641 10263 14306 14633 15686 19282 20526 21459 23529 28923 29266 42918 43899 47058 57846 78683 87798 106051 157366 160963 212102 221743 236049 318153 321926 336559 443486 453623 472098 482889 636306 665229 673118 907246 965778 1009677 1330458 1360869 2019354 2439173 2721738 3702149 4550863 4878346 4989853 7317519 7404298 9101726 9979706 10433329 11106447 13652589 14635038 14969559 20866658 22212894 27305178 29939118 31299987 50059493 62599974 100118986 104669849 114766619 141076753 150178479 209339698 229533238 282153506 300356958 314009547 344299857 423230259 628019094 688599714 846460518 1151368339 1551844283 2302736678 3103688566 3244765319 3454105017 4655532849 6489530638 6908210034 9311065698 9734295957 19468591914 35692418509 71384837018 107077255527 214154511054