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21232345140 = 22325127928799
BaseRepresentation
bin10011110001100010…
…111110000000110100
32000210201101212222100
4103301202332000310
5321440440021030
613430510502100
71351104645606
oct236142760064
960721355870
1021232345140
119006118186
124146804930
132004ab5646
141055c35176
15844045360
hex4f18be034

21232345140 has 72 divisors (see below), whose sum is σ = 64911974400. Its totient is φ = 5617370304.

The previous prime is 21232345111. The next prime is 21232345151. The reversal of 21232345140 is 4154323212.

21232345140 is a `hidden beast` number, since 2 + 123 + 23 + 4 + 514 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441540 + ... + 487259.

It is an arithmetic number, because the mean of its divisors is an integer number (901555200).

Almost surely, 221232345140 is an apocalyptic number.

21232345140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21232345140 is an abundant number, since it is smaller than the sum of its proper divisors (43679629260).

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

21232345140 is a wasteful number, since it uses less digits than its factorization.

21232345140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928941 (or 928936 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 21232345140 its reverse (4154323212), we get a palindrome (25386668352).

The spelling of 21232345140 in words is "twenty-one billion, two hundred thirty-two million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 928799 1857598 2786397 3715196 4643995 5572794 8359191 9287990 11145588 13931985 16718382 18575980 27863970 33436764 41795955 55727940 83591910 117957473 167183820 235914946 353872419 471829892 589787365 707744838 1061617257 1179574730 1415489676 1769362095 2123234514 2359149460 3538724190 4246469028 5308086285 7077448380 10616172570 21232345140