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141266664 = 233271183307
BaseRepresentation
bin10000110101110…
…00111011101000
3100211211002102200
420122320323220
5242131013124
622003500200
73333514110
oct1032707350
9324732380
10141266664
1172817810
123b387660
1323361a56
1414a94040
15c606bc9
hex86b8ee8

141266664 has 192 divisors, whose sum is σ = 484323840. Its totient is φ = 36132480.

The previous prime is 141266647. The next prime is 141266669. The reversal of 141266664 is 466662141.

141266664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141266669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459999 + ... + 460305.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2141266664 is an apocalyptic number.

141266664 is a gapful number since it is divisible by the number (14) 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 141266664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

141266664 is an abundant number, since it is smaller than the sum of its proper divisors (343057176).

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

141266664 is a wasteful number, since it uses less digits than its factorization.

141266664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 141266664 is about 11885.5653630780. The cubic root of 141266664 is about 520.8106979617.

The spelling of 141266664 in words is "one hundred forty-one million, two hundred sixty-six thousand, six hundred sixty-four".