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14157990000 = 243454711227
BaseRepresentation
bin11010010111110000…
…11100100001110000
31100112200202102010000
431023320130201300
5212443421140000
610300514510000
71010563633530
oct151370344160
940480672100
1014157990000
1160058a8490
1228b1595300
13144827779b
149844814c0
1557ce40000
hex34be1c870

14157990000 has 1000 divisors, whose sum is σ = 64121574528. Its totient is φ = 2928960000.

The previous prime is 14157989987. The next prime is 14157990001. The reversal of 14157990000 is 9975141.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14157990001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 62369887 + ... + 62370113.

Almost surely, 214157990000 is an apocalyptic number.

14157990000 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 14157990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060787264).

14157990000 is an abundant number, since it is smaller than the sum of its proper divisors (49963584528).

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

14157990000 is a wasteful number, since it uses less digits than its factorization.

14157990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 14157990000 in words is "fourteen billion, one hundred fifty-seven million, nine hundred ninety thousand".