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141417349080 = 23357437353633
BaseRepresentation
bin1000001110110100100…
…0010111111111011000
3111112000121200200011120
42003231020113333120
54304110320132310
6144544412325240
713134311430240
oct2035510277730
9445017620146
10141417349080
1154a7a452517
12234a8473820
13104494063a7
146bb7978b20
153a2a391b70
hex20ed217fd8

141417349080 has 256 divisors, whose sum is σ = 502941035520. Its totient is φ = 31139168256.

The previous prime is 141417349067. The next prime is 141417349097. The reversal of 141417349080 is 80943714141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2609944 + ... + 2663576.

It is an arithmetic number, because the mean of its divisors is an integer number (1964613420).

Almost surely, 2141417349080 is an apocalyptic number.

141417349080 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 141417349080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251470517760).

141417349080 is an abundant number, since it is smaller than the sum of its proper divisors (361523686440).

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

141417349080 is a wasteful number, since it uses less digits than its factorization.

141417349080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53770 (or 53766 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 141417349080 in words is "one hundred forty-one billion, four hundred seventeen million, three hundred forty-nine thousand, eighty".