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14701010000 = 24541678803
BaseRepresentation
bin11011011000011111…
…11001110001010000
31101221112112200111212
431230033321301100
5220101424310000
610430433355252
71030206344315
oct155417716120
941845480455
1014701010000
116264378446
122a23408b28
131503912bb1
149d6634d0c
155b0954c35
hex36c3f9c50

14701010000 has 100 divisors (see below), whose sum is σ = 35809812192. Its totient is φ = 5844528000.

The previous prime is 14701009987. The next prime is 14701010003. The reversal of 14701010000 is 1010741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×147010100003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14701010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1665599 + ... + 1674401.

Almost surely, 214701010000 is an apocalyptic number.

14701010000 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 14701010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904906096).

14701010000 is an abundant number, since it is smaller than the sum of its proper divisors (21108802192).

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

14701010000 is an equidigital number, since it uses as much as digits as its factorization.

14701010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8998 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 14701010000 its reverse (1010741), we get a palindrome (14702020741).

The spelling of 14701010000 in words is "fourteen billion, seven hundred one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 625 668 835 1000 1250 1336 1670 2000 2500 2672 3340 4175 5000 6680 8350 8803 10000 13360 16700 17606 20875 33400 35212 41750 44015 66800 70424 83500 88030 104375 140848 167000 176060 208750 220075 334000 352120 417500 440150 704240 835000 880300 1100375 1470101 1670000 1760600 2200750 2940202 3521200 4401500 5501875 5880404 7350505 8803000 11003750 11760808 14701010 17606000 22007500 23521616 29402020 36752525 44015000 58804040 73505050 88030000 117608080 147010100 183762625 294020200 367525250 588040400 735050500 918813125 1470101000 1837626250 2940202000 3675252500 7350505000 14701010000