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21450544142304 = 253535503766111
BaseRepresentation
bin1001110000010010110000…
…00100000101011111100000
32210221122121022011202200010
410320021120010011133200
510302421203300023204
6113342124405124520
74342515323551254
oct470113004053740
983848538152603
1021450544142304
116920140a54562
1224a53139b9740
13bc7a155c9804
145422d7560264
15272ea0522d89
hex1382581057e0

21450544142304 has 96 divisors (see below), whose sum is σ = 57380587536384. Its totient is φ = 7013988334080.

The previous prime is 21450544142303. The next prime is 21450544142327. The reversal of 21450544142304 is 40324144505412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21450544142303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27616209 + ... + 28382319.

It is an arithmetic number, because the mean of its divisors is an integer number (597714453504).

Almost surely, 221450544142304 is an apocalyptic number.

21450544142304 is a gapful number since it is divisible by the number (24) 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 21450544142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28690293768192).

21450544142304 is an abundant number, since it is smaller than the sum of its proper divisors (35930043394080).

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

21450544142304 is a wasteful number, since it uses less digits than its factorization.

21450544142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771680 (or 771672 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 21450544142304 its reverse (40324144505412), we get a palindrome (61774688647716).

The spelling of 21450544142304 in words is "twenty-one trillion, four hundred fifty billion, five hundred forty-four million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 5503 11006 16509 22012 33018 44024 66036 88048 132072 176096 264144 291659 528288 583318 766111 874977 1166636 1532222 1749954 2298333 2333272 3064444 3499908 4596666 4666544 6128888 6999816 9193332 9333088 12257776 13999632 18386664 24515552 27999264 36773328 40603883 73546656 81207766 121811649 162415532 243623298 324831064 487246596 649662128 974493192 1299324256 1948986384 3897972768 4215908833 8431817666 12647726499 16863635332 25295452998 33727270664 50590905996 67454541328 101181811992 134909082656 202363623984 223443168149 404727247968 446886336298 670329504447 893772672596 1340659008894 1787545345192 2681318017788 3575090690384 5362636035576 7150181380768 10725272071152 21450544142304