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21430241440 = 2558313711779
BaseRepresentation
bin10011111101010101…
…111000100010100000
32001022111210001122221
4103331111320202200
5322342120211230
613502300240424
71356030022006
oct237525704240
961274701587
1021430241440
1190a78a3643
1241a0b40114
132036ab424a
14107422aa76
158565d627a
hex4fd5788a0

21430241440 has 96 divisors (see below), whose sum is σ = 51617321280. Its totient is φ = 8406288384.

The previous prime is 21430241419. The next prime is 21430241449. The reversal of 21430241440 is 4414203412.

It is not an unprimeable number, because it can be changed into a prime (21430241449) 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, 1813471 + ... + 1825249.

It is an arithmetic number, because the mean of its divisors is an integer number (537680430).

Almost surely, 221430241440 is an apocalyptic number.

21430241440 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 21430241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808660640).

21430241440 is an abundant number, since it is smaller than the sum of its proper divisors (30187079840).

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

21430241440 is a wasteful number, since it uses less digits than its factorization.

21430241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 21430241440 its reverse (4414203412), we get a palindrome (25844444852).

The spelling of 21430241440 in words is "twenty-one billion, four hundred thirty million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 137 160 166 274 332 415 548 664 685 830 1096 1328 1370 1660 2192 2656 2740 3320 4384 5480 6640 10960 11371 11779 13280 21920 22742 23558 45484 47116 56855 58895 90968 94232 113710 117790 181936 188464 227420 235580 363872 376928 454840 471160 909680 942320 977657 1613723 1819360 1884640 1955314 3227446 3910628 4888285 6454892 7821256 8068615 9776570 12909784 15642512 16137230 19553140 25819568 31285024 32274460 39106280 51639136 64548920 78212560 129097840 133939009 156425120 258195680 267878018 535756036 669695045 1071512072 1339390090 2143024144 2678780180 4286048288 5357560360 10715120720 21430241440