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14505013000 = 235382917497
BaseRepresentation
bin11011000001001000…
…01110111100001000
31101102212202000011201
431200210032330020
5214201240404000
610355152433544
71022306401432
oct154044167410
941385660151
1014505013000
116173779a55
1229898488b4
1314a212a93a
149b85b5652
1559d63b96a
hex36090ef08

14505013000 has 64 divisors (see below), whose sum is σ = 33984615600. Its totient is φ = 5794675200.

The previous prime is 14505012989. The next prime is 14505013031. The reversal of 14505013000 is 31050541.

It can be written as a sum of positive squares in 8 ways, for example, as 315915076 + 14189097924 = 17774^2 + 119118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820252 + ... + 837748.

Almost surely, 214505013000 is an apocalyptic number.

14505013000 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 14505013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992307800).

14505013000 is an abundant number, since it is smaller than the sum of its proper divisors (19479602600).

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

14505013000 is a wasteful number, since it uses less digits than its factorization.

14505013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18347 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 14505013000 its reverse (31050541), we get a palindrome (14536063541).

The spelling of 14505013000 in words is "fourteen billion, five hundred five million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 829 1000 1658 3316 4145 6632 8290 16580 17497 20725 33160 34994 41450 69988 82900 87485 103625 139976 165800 174970 207250 349940 414500 437425 699880 829000 874850 1749700 2187125 3499400 4374250 8748500 14505013 17497000 29010026 58020052 72525065 116040104 145050130 290100260 362625325 580200520 725250650 1450501300 1813126625 2901002600 3626253250 7252506500 14505013000