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14304932490 = 2356131724659
BaseRepresentation
bin11010101001010001…
…11111001010001010
31100220221020212022110
431110220333022022
5213244030314430
610323244203150
71014326630352
oct152450771212
940827225273
1014304932490
116080841562
1229328394b6
13146c845ac4
14999bb1b62
1558acb87b0
hex354a3f28a

14304932490 has 64 divisors (see below), whose sum is σ = 35006152320. Its totient is φ = 3740125440.

The previous prime is 14304932471. The next prime is 14304932491. The reversal of 14304932490 is 9423940341.

14304932490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14304932491) 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 31 ways as a sum of consecutive naturals, for example, 567781 + ... + 592439.

It is an arithmetic number, because the mean of its divisors is an integer number (546971130).

Almost surely, 214304932490 is an apocalyptic number.

14304932490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14304932490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503076160).

14304932490 is an abundant number, since it is smaller than the sum of its proper divisors (20701219830).

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

14304932490 is a wasteful number, since it uses less digits than its factorization.

14304932490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25047.

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 14304932490 in words is "fourteen billion, three hundred four million, nine hundred thirty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 317 366 610 634 915 951 1585 1830 1902 3170 4755 9510 19337 24659 38674 49318 58011 73977 96685 116022 123295 147954 193370 246590 290055 369885 580110 739770 1504199 3008398 4512597 7520995 7816903 9025194 15041990 15633806 22562985 23450709 39084515 45125970 46901418 78169030 117253545 234507090 476831083 953662166 1430493249 2384155415 2860986498 4768310830 7152466245 14304932490