Search a number
-
+
141895087488 = 27327211228521
BaseRepresentation
bin1000010000100110011…
…0110011010110000000
3111120020220122022001200
42010021212303112000
54311100120244423
6145104040101200
713152202225500
oct2041146632600
9446226568050
10141895087488
11551a5094450
1223600464800
13104c439583b
146c211b7a00
153a572add43
hex21099b3580

141895087488 has 288 divisors, whose sum is σ = 518164494120. Its totient is φ = 36855705600.

The previous prime is 141895087483. The next prime is 141895087493. The reversal of 141895087488 is 884780598141.

141895087488 is a `hidden beast` number, since 1 + 4 + 1 + 89 + 508 + 7 + 48 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (141895087483) and next prime (141895087493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141895087483) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506668 + ... + 735188.

Almost surely, 2141895087488 is an apocalyptic number.

141895087488 is a gapful number since it is divisible by the number (18) 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 141895087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259082247060).

141895087488 is an abundant number, since it is smaller than the sum of its proper divisors (376269406632).

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

141895087488 is a wasteful number, since it uses less digits than its factorization.

141895087488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228566 (or 228544 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 141895087488 in words is "one hundred forty-one billion, eight hundred ninety-five million, eighty-seven thousand, four hundred eighty-eight".