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21144232000 = 26533185259
BaseRepresentation
bin10011101100010010…
…110110000001000000
32000120120121021110201
4103230102312001000
5321300410411000
613414042134544
71345655002153
oct235422660100
960516537421
1021144232000
118a70405501
1241211b1454
131cbc7744a8
141048259c9a
1583b43c96a
hex4ec4b6040

21144232000 has 112 divisors (see below), whose sum is σ = 54053475840. Its totient is φ = 8184768000.

The previous prime is 21144231971. The next prime is 21144232007. The reversal of 21144232000 is 23244112.

It is not an unprimeable number, because it can be changed into a prime (21144232007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205371 + ... + 290629.

It is an arithmetic number, because the mean of its divisors is an integer number (482620320).

Almost surely, 221144232000 is an apocalyptic number.

21144232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27026737920).

21144232000 is an abundant number, since it is smaller than the sum of its proper divisors (32909243840).

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

21144232000 is an equidigital number, since it uses as much as digits as its factorization.

21144232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85317 (or 85297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21144232000 its reverse (23244112), we get a palindrome (21167476112).

The spelling of 21144232000 in words is "twenty-one billion, one hundred forty-four million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3875 4000 4960 6200 7750 8000 9920 12400 15500 24800 31000 49600 62000 85259 124000 170518 248000 341036 426295 682072 852590 1364144 1705180 2131475 2643029 2728288 3410360 4262950 5286058 5456576 6820720 8525900 10572116 10657375 13215145 13641440 17051800 21144232 21314750 26430290 27282880 34103600 42288464 42629500 52860580 66075725 68207200 84576928 85259000 105721160 132151450 136414400 169153856 170518000 211442320 264302900 330378625 341036000 422884640 528605800 660757250 682072000 845769280 1057211600 1321514500 2114423200 2643029000 4228846400 5286058000 10572116000 21144232000