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21251051440 = 2451516472719
BaseRepresentation
bin10011110010101010…
…010100111110110000
32000212000121021012021
4103302222110332300
5322010232121230
613432415441224
71351422646123
oct236252247660
960760537167
1021251051440
119015734533
124150b26214
132008934c68
1410585043ba
158459dcc7a
hex4f2a94fb0

21251051440 has 80 divisors (see below), whose sum is σ = 49831096320. Its totient is φ = 8427974400.

The previous prime is 21251051431. The next prime is 21251051443. The reversal of 21251051440 is 4415015212.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21251051443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7814401 + ... + 7817119.

It is an arithmetic number, because the mean of its divisors is an integer number (622888704).

Almost surely, 221251051440 is an apocalyptic number.

21251051440 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 21251051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915548160).

21251051440 is an abundant number, since it is smaller than the sum of its proper divisors (28580044880).

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

21251051440 is a wasteful number, since it uses less digits than its factorization.

21251051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 21251051440 its reverse (4415015212), we get a palindrome (25666066652).

The spelling of 21251051440 in words is "twenty-one billion, two hundred fifty-one million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 647 755 1208 1294 1510 2416 2588 2719 3020 3235 5176 5438 6040 6470 10352 10876 12080 12940 13595 21752 25880 27190 43504 51760 54380 97697 108760 195394 217520 390788 410569 488485 781576 821138 976970 1563152 1642276 1759193 1953940 2052845 3284552 3518386 3907880 4105690 6569104 7036772 7815760 8211380 8795965 14073544 16422760 17591930 28147088 32845520 35183860 70367720 140735440 265638143 531276286 1062552572 1328190715 2125105144 2656381430 4250210288 5312762860 10625525720 21251051440