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9148714000 = 245310742751
BaseRepresentation
bin10001000010100111…
…00100110000010000
3212121120220211021021
420201103210300100
5122214032322000
64111452405224
7442466533366
oct104123446020
925546824237
109148714000
113975235268
121933a76814
13b2a51ba4a
1462b087636
153882a511a
hex2214e4c10

9148714000 has 80 divisors (see below), whose sum is σ = 22328856576. Its totient is φ = 3625200000.

The previous prime is 9148713989. The next prime is 9148714007. The reversal of 9148714000 is 4178419.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9148714007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192625 + ... + 235375.

Almost surely, 29148714000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9148714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164428288).

9148714000 is an abundant number, since it is smaller than the sum of its proper divisors (13180142576).

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

9148714000 is a wasteful number, since it uses less digits than its factorization.

9148714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42881 (or 42865 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 9148714000 is about 95648.9100826559. The cubic root of 9148714000 is about 2091.4782396323.

The spelling of 9148714000 in words is "nine billion, one hundred forty-eight million, seven hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 856 1000 1070 1712 2000 2140 2675 4280 5350 8560 10700 13375 21400 26750 42751 42800 53500 85502 107000 171004 213755 214000 342008 427510 684016 855020 1068775 1710040 2137550 3420080 4275100 4574357 5343875 8550200 9148714 10687750 17100400 18297428 21375500 22871785 36594856 42751000 45743570 73189712 85502000 91487140 114358925 182974280 228717850 365948560 457435700 571794625 914871400 1143589250 1829742800 2287178500 4574357000 9148714000