Search a number
-
+
143429045760 = 2934571113691
BaseRepresentation
bin1000010110010100001…
…0011000111000000000
3111201012211001110020000
42011211002120320000
54322220313431020
6145520154120000
713235206526160
oct2054502307000
9451184043200
10143429045760
1155911a58a60
122396a120000
13106aa117660
146d28bda5a0
153ae6cb5090
hex2165098e00

143429045760 has 1600 divisors, whose sum is σ = 690744789504. Its totient is φ = 27471052800.

The previous prime is 143429045759. The next prime is 143429045801. The reversal of 143429045760 is 67540924341.

143429045760 is a `hidden beast` number, since 14 + 3 + 42 + 90 + 457 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207567015 + ... + 207567705.

Almost surely, 2143429045760 is an apocalyptic number.

143429045760 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 143429045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345372394752).

143429045760 is an abundant number, since it is smaller than the sum of its proper divisors (547315743744).

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

143429045760 is a wasteful number, since it uses less digits than its factorization.

143429045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 143429045760 in words is "one hundred forty-three billion, four hundred twenty-nine million, forty-five thousand, seven hundred sixty".