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134301241224024 = 23375967499405269
BaseRepresentation
bin11110100010010101110001…
…110001101010101101011000
3122121112001222102012201201020
4132202111301301222231120
5120100342420223132044
61153345045524522440
740200641645652210
oct3642256161525530
9577461872181636
10134301241224024
1139879922499076
1213090591b50420
1359c27253a86b4
142524301421240
15107d73bb92a19
hex7a2571c6ab58

134301241224024 has 256 divisors, whose sum is σ = 396840384000000. Its totient is φ = 37083850569216.

The previous prime is 134301241224019. The next prime is 134301241224061. The reversal of 134301241224024 is 420422142103431.

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, 331185262 + ... + 331590530.

It is an arithmetic number, because the mean of its divisors is an integer number (1550157750000).

Almost surely, 2134301241224024 is an apocalyptic number.

134301241224024 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 134301241224024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198420192000000).

134301241224024 is an abundant number, since it is smaller than the sum of its proper divisors (262539142775976).

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

134301241224024 is a wasteful number, since it uses less digits than its factorization.

134301241224024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405910 (or 405906 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 134301241224024 its reverse (420422142103431), we get a palindrome (554723383327455).

The spelling of 134301241224024 in words is "one hundred thirty-four trillion, three hundred one billion, two hundred forty-one million, two hundred twenty-four thousand, twenty-four".