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23322713449140 = 2234572618358031
BaseRepresentation
bin1010100110110001111100…
…00011001110001010110100
310001120122000000000120120000
411103120332003032022310
511024104404120333030
6121334150122511300
74625003403234600
oct523307603161264
9101518000016500
1023322713449140
11748211a7a1586
122748121665530
131002426532371
145a8b7aab2500
152a6a25d44860
hex15363e0ce2b4

23322713449140 has 720 divisors, whose sum is σ = 87548363046144. Its totient is φ = 5180249894400.

The previous prime is 23322713449099. The next prime is 23322713449153. The reversal of 23322713449140 is 4194431722332.

It is a happy number.

23322713449140 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 27 + 134 + 491 + 4 + 0 = 666.

It is a super-3 number, since 3×233227134491403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 401871925 + ... + 401929955.

Almost surely, 223322713449140 is an apocalyptic number.

23322713449140 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 23322713449140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43774181523072).

23322713449140 is an abundant number, since it is smaller than the sum of its proper divisors (64225649597004).

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

23322713449140 is a wasteful number, since it uses less digits than its factorization.

23322713449140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58210 (or 58192 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 23322713449140 in words is "twenty-three trillion, three hundred twenty-two billion, seven hundred thirteen million, four hundred forty-nine thousand, one hundred forty".