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141014016 = 210321113107
BaseRepresentation
bin10000110011110…
…11010000000000
3100211100020212100
420121323100000
5242044422031
621554230400
73331412403
oct1031732000
9324306770
10141014016
1172664a10
123b285400
13232a3a60
1414a29d3a
15c5a6de6
hex867b400

141014016 has 264 divisors, whose sum is σ = 482829984. Its totient is φ = 39075840.

The previous prime is 141013981. The next prime is 141014017. The reversal of 141014016 is 610410141.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 141014016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141014017) 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, 1317835 + ... + 1317941.

Almost surely, 2141014016 is an apocalyptic number.

141014016 is a gapful number since it is divisible by the number (16) 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 141014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241414992).

141014016 is an abundant number, since it is smaller than the sum of its proper divisors (341815968).

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

141014016 is a wasteful number, since it uses less digits than its factorization.

141014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141014016 is about 11874.9322524383. The cubic root of 141014016 is about 520.5000318359.

Adding to 141014016 its reverse (610410141), we get a palindrome (751424157).

The spelling of 141014016 in words is "one hundred forty-one million, fourteen thousand, sixteen".