Search a number
-
+
21544124000 = 255372109919
BaseRepresentation
bin10100000100001000…
…010011111001100000
32001121110001220011112
4110010020103321200
5323110243432000
613521445202452
71361612014100
oct240410237140
961543056145
1021544124000
119156107263
124213100428
132054578889
1410853d3200
158615ce235
hex504213e60

21544124000 has 144 divisors (see below), whose sum is σ = 61576744320. Its totient is φ = 7386489600.

The previous prime is 21544123973. The next prime is 21544124009. The reversal of 21544124000 is 42144512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21544124009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141041 + ... + 250959.

It is an arithmetic number, because the mean of its divisors is an integer number (427616280).

Almost surely, 221544124000 is an apocalyptic number.

21544124000 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 21544124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30788372160).

21544124000 is an abundant number, since it is smaller than the sum of its proper divisors (40032620320).

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

21544124000 is a wasteful number, since it uses less digits than its factorization.

21544124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109958 (or 109933 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 21544124000 its reverse (42144512), we get a palindrome (21586268512).

The spelling of 21544124000 in words is "twenty-one billion, five hundred forty-four million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 109919 196000 219838 439676 549595 769433 879352 1099190 1538866 1758704 2198380 2747975 3077732 3517408 3847165 4396760 5386031 5495950 6155464 7694330 8793520 10772062 10991900 12310928 13739875 15388660 17587040 19235825 21544124 21983800 24621856 26930155 27479750 30777320 38471650 43088248 43967600 53860310 54959500 61554640 76943300 86176496 87935200 96179125 107720620 109919000 123109280 134650775 153886600 172352992 192358250 215441240 219838000 269301550 307773200 384716500 430882480 439676000 538603100 615546400 673253875 769433000 861764960 1077206200 1346507750 1538866000 2154412400 2693015500 3077732000 4308824800 5386031000 10772062000 21544124000