Search a number
-
+
141470744688 = 243271341594463
BaseRepresentation
bin1000001111000001010…
…0000100000001110000
3111112011100011110011200
42003300110010001300
54304213002312223
6144554001011200
713135530326460
oct2036024040160
9445140143150
10141470744688
1154aa7602419
1223502323b00
13104574b0220
146bc0ab7ba0
153a2eddca43
hex20f0504070

141470744688 has 480 divisors, whose sum is σ = 507747502080. Its totient is φ = 35775959040.

The previous prime is 141470744669. The next prime is 141470744813. The reversal of 141470744688 is 886447074141.

141470744688 is a `hidden beast` number, since 1 + 41 + 4 + 70 + 74 + 468 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31696345 + ... + 31700807.

It is an arithmetic number, because the mean of its divisors is an integer number (1057807296).

Almost surely, 2141470744688 is an apocalyptic number.

141470744688 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 141470744688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253873751040).

141470744688 is an abundant number, since it is smaller than the sum of its proper divisors (366276757392).

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

141470744688 is a wasteful number, since it uses less digits than its factorization.

141470744688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 141470744688 in words is "one hundred forty-one billion, four hundred seventy million, seven hundred forty-four thousand, six hundred eighty-eight".