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14446448500 = 2253115349559
BaseRepresentation
bin11010111010001001…
…10100111101110100
31101021210112121210011
431131010310331310
5214041242323000
610345301310004
71020665533441
oct153504647564
941253477704
1014446448500
116143709640
122972105304
131492c641a3
149b08cc9c8
1559841e2ba
hex35d134f74

14446448500 has 96 divisors (see below), whose sum is σ = 35069448960. Its totient is φ = 5154032000.

The previous prime is 14446448437. The next prime is 14446448503. The reversal of 14446448500 is 584464441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14446448503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266721 + ... + 316279.

It is an arithmetic number, because the mean of its divisors is an integer number (365306760).

Almost surely, 214446448500 is an apocalyptic number.

14446448500 is a gapful number since it is divisible by the number (10) 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 14446448500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534724480).

14446448500 is an abundant number, since it is smaller than the sum of its proper divisors (20623000460).

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

14446448500 is a wasteful number, since it uses less digits than its factorization.

14446448500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49642 (or 49630 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 14446448500 in words is "fourteen billion, four hundred forty-six million, four hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 125 212 220 250 265 275 500 530 550 583 1060 1100 1166 1325 1375 2332 2650 2750 2915 5300 5500 5830 6625 11660 13250 14575 26500 29150 49559 58300 72875 99118 145750 198236 247795 291500 495590 545149 991180 1090298 1238975 2180596 2477950 2626627 2725745 4955900 5253254 5451490 6194875 10506508 10902980 12389750 13133135 13628725 24779500 26266270 27257450 28892897 52532540 54514900 57785794 65665675 68143625 115571588 131331350 136287250 144464485 262662700 272574500 288928970 328328375 577857940 656656750 722322425 1313313500 1444644850 2889289700 3611612125 7223224250 14446448500