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21144150132 = 22372611394241
BaseRepresentation
bin10011101100010010…
…100010000001110100
32000120120110010011120
4103230102202001310
5321300400301012
613414040303540
71345654211400
oct235422420164
960516403146
1021144150132
118a70359a46
124121171bb0
131cbc746151
141048238100
1583b42358c
hex4ec4a2074

21144150132 has 144 divisors (see below), whose sum is σ = 58765613760. Its totient is φ = 5898009600.

The previous prime is 21144150127. The next prime is 21144150173. The reversal of 21144150132 is 23105144112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4983532 + ... + 4987772.

It is an arithmetic number, because the mean of its divisors is an integer number (408094540).

Almost surely, 221144150132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144150132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29382806880).

21144150132 is an abundant number, since it is smaller than the sum of its proper divisors (37621463628).

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

21144150132 is a wasteful number, since it uses less digits than its factorization.

21144150132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 21144150132 its reverse (23105144112), we get a palindrome (44249294244).

The spelling of 21144150132 in words is "twenty-one billion, one hundred forty-four million, one hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 139 147 183 196 244 278 294 366 417 427 556 588 732 834 854 973 1281 1668 1708 1946 2562 2919 2989 3892 4241 5124 5838 5978 6811 8479 8482 8967 11676 11956 12723 13622 16958 16964 17934 20433 25437 25446 27244 29687 33916 35868 40866 50874 50892 59353 59374 81732 89061 101748 118706 118748 178059 178122 207809 237412 258701 356118 356244 415471 415618 517402 589499 623427 712236 776103 830942 831236 1034804 1178998 1246413 1246854 1552206 1661884 1768497 1810907 2357996 2492826 2493708 3104412 3536994 3621814 4126493 4985652 5432721 7073988 7243628 8252986 10865442 12379479 12676349 16505972 21730884 24758958 25352698 28885451 35959439 38029047 49517916 50705396 57770902 71918878 76058094 86656353 107878317 115541804 143837756 152116188 173312706 215756634 251716073 346625412 431513268 503432146 755148219 1006864292 1510296438 1762012511 3020592876 3524025022 5286037533 7048050044 10572075066 21144150132