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14930190000 = 243354112457
BaseRepresentation
bin11011110011110100…
…01001111010110000
31102112111210020101000
431321322021322300
5221034112040000
610505301442000
71035661343505
oct157172117260
942474706330
1014930190000
116371780800
122a88110300
13153c245b6b
14a18c514ac
155c5b25000
hex379e89eb0

14930190000 has 600 divisors, whose sum is σ = 58991554160. Its totient is φ = 3611520000.

The previous prime is 14930189971. The next prime is 14930190001. The reversal of 14930190000 is 9103941.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×149301900002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14930190001) 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 119 ways as a sum of consecutive naturals, for example, 32669772 + ... + 32670228.

Almost surely, 214930190000 is an apocalyptic number.

14930190000 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 14930190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29495777080).

14930190000 is an abundant number, since it is smaller than the sum of its proper divisors (44061364160).

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

14930190000 is a wasteful number, since it uses less digits than its factorization.

14930190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 14930190000 its reverse (9103941), we get a palindrome (14939293941).

The spelling of 14930190000 in words is "fourteen billion, nine hundred thirty million, one hundred ninety thousand".