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21440440125 = 335313618011
BaseRepresentation
bin10011111101111100…
…110010011100111101
32001100012222012122000
4103331330302130331
5322402223041000
613503303012513
71356212506536
oct237574623475
961305865560
1021440440125
11910262a005
1241a443a139
132038c45380
14107572368d
1585744d000
hex4fdf3273d

21440440125 has 128 divisors (see below), whose sum is σ = 43395555840. Its totient is φ = 10380960000.

The previous prime is 21440440117. The next prime is 21440440187. The reversal of 21440440125 is 52104404412.

21440440125 is a `hidden beast` number, since 214 + 4 + 0 + 440 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 21440440125 - 23 = 21440440117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2672370 + ... + 2680380.

It is an arithmetic number, because the mean of its divisors is an integer number (339027780).

Almost surely, 221440440125 is an apocalyptic number.

21440440125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21440440125 is an abundant number, since it is smaller than the sum of its proper divisors (21955115715).

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

21440440125 is a wasteful number, since it uses less digits than its factorization.

21440440125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 21440440125 its reverse (52104404412), we get a palindrome (73544844537).

The spelling of 21440440125 in words is "twenty-one billion, four hundred forty million, four hundred forty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 61 65 75 117 125 135 183 195 225 305 325 351 375 549 585 675 793 915 975 1125 1525 1625 1647 1755 2379 2745 2925 3375 3965 4575 4875 7137 7625 8011 8235 8775 11895 13725 14625 19825 21411 22875 24033 35685 40055 41175 43875 59475 68625 72099 99125 104143 107055 120165 178425 200275 205875 216297 297375 312429 360495 488671 520715 535275 600825 892125 937287 1001375 1081485 1466013 1562145 1802475 2443355 2603575 2676375 2811861 3004125 4398039 4686435 5407425 6352723 7330065 7810725 9012375 12216775 13017875 13194117 14059305 19058169 21990195 23432175 27037125 31763615 36650325 39053625 57174507 61083875 65970585 70296525 95290845 109950975 117160875 158818075 171523521 183251625 285872535 329852925 351482625 476454225 549754875 794090375 857617605 1429362675 1649264625 2382271125 4288088025 7146813375 21440440125