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23432011134000 = 24353713135911863
BaseRepresentation
bin1010101001111101100001…
…01100110011010000110000
310001222002010010220020200020
411110332300230303100300
511032402224322242000
6121500303423323440
74635623036232210
oct524766054632060
9101862103806606
1023432011134000
117514507460957
122765345150580
13100c82438c181
145b01888b8240
152a97c145dba0
hex154fb0b33430

23432011134000 has 640 divisors, whose sum is σ = 87245661634560. Its totient is φ = 5299751808000.

The previous prime is 23432011133987. The next prime is 23432011134011. The reversal of 23432011134000 is 43111023432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1975212069 + ... + 1975223931.

It is an arithmetic number, because the mean of its divisors is an integer number (136321346304).

Almost surely, 223432011134000 is an apocalyptic number.

23432011134000 is a gapful number since it is divisible by the number (20) 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 23432011134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43622830817280).

23432011134000 is an abundant number, since it is smaller than the sum of its proper divisors (63813650500560).

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

23432011134000 is a wasteful number, since it uses less digits than its factorization.

23432011134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12386 (or 12370 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23432011134000 its reverse (43111023432), we get a palindrome (23475122157432).

The spelling of 23432011134000 in words is "twenty-three trillion, four hundred thirty-two billion, eleven million, one hundred thirty-four thousand".