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14302348900 = 22527199102673
BaseRepresentation
bin11010101000111110…
…01000011001100100
31100220202101121021221
431110133020121210
5213242400131100
610323112550124
71014265650130
oct152437103144
940822347257
1014302348900
11607a337464
1229319b2344
13146c14cb58
149996dc3c0
1558a95801a
hex3547c8664

14302348900 has 72 divisors (see below), whose sum is σ = 35648412800. Its totient is φ = 4878973440.

The previous prime is 14302348877. The next prime is 14302348903. The reversal of 14302348900 is 984320341.

It is not an unprimeable number, because it can be changed into a prime (14302348903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87964 + ... + 190636.

Almost surely, 214302348900 is an apocalyptic number.

14302348900 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 14302348900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824206400).

14302348900 is an abundant number, since it is smaller than the sum of its proper divisors (21346063900).

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

14302348900 is a wasteful number, since it uses less digits than its factorization.

14302348900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102893 (or 102886 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 14302348900 in words is "fourteen billion, three hundred two million, three hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 199 350 398 700 796 995 1393 1990 2786 3980 4975 5572 6965 9950 13930 19900 27860 34825 69650 102673 139300 205346 410692 513365 718711 1026730 1437422 2053460 2566825 2874844 3593555 5133650 7187110 10267300 14374220 17967775 20431927 35935550 40863854 71871100 81727708 102159635 143023489 204319270 286046978 408638540 510798175 572093956 715117445 1021596350 1430234890 2043192700 2860469780 3575587225 7151174450 14302348900