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141471434720 = 25571112379283
BaseRepresentation
bin1000001111000001011…
…0101100011111100000
3111112011101110111201102
42003300112230133200
54304213141402340
6144554023453532
713135536232310
oct2036026543740
9445141414642
10141471434720
1154aa7a338a0
12235025b72a8
1310457692325
146bc0c17440
153a2eec7215
hex20f05ac7e0

141471434720 has 192 divisors, whose sum is σ = 417079466496. Its totient is φ = 44054599680.

The previous prime is 141471434681. The next prime is 141471434723. The reversal of 141471434720 is 27434174141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141471434723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15235199 + ... + 15244481.

It is an arithmetic number, because the mean of its divisors is an integer number (2172288888).

Almost surely, 2141471434720 is an apocalyptic number.

141471434720 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 141471434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208539733248).

141471434720 is an abundant number, since it is smaller than the sum of its proper divisors (275608031776).

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

141471434720 is a wasteful number, since it uses less digits than its factorization.

141471434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 141471434720 in words is "one hundred forty-one billion, four hundred seventy-one million, four hundred thirty-four thousand, seven hundred twenty".