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923310503040 = 273537434759109
BaseRepresentation
bin11010110111110011001…
…10000011010010000000
310021021020002121022220210
431123321212003102000
5110111414442044130
61544055112234120
7123464331532542
oct15337146032200
93237202538823
10923310503040
11326634787842
1212ab3a99b940
13690b5c82883
143298d21d692
151903dc225b0
hexd6f9983480

923310503040 has 1024 divisors, whose sum is σ = 3241700352000. Its totient is φ = 223064948736.

The previous prime is 923310503029. The next prime is 923310503057. The reversal of 923310503040 is 40305013329.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 923310502989 and 923310503007.

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, 8470738506 + ... + 8470738614.

It is an arithmetic number, because the mean of its divisors is an integer number (3165723000).

Almost surely, 2923310503040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923310503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620850176000).

923310503040 is an abundant number, since it is smaller than the sum of its proper divisors (2318389848960).

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

923310503040 is a wasteful number, since it uses less digits than its factorization.

923310503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 923310503040 its reverse (40305013329), we get a palindrome (963615516369).

The spelling of 923310503040 in words is "nine hundred twenty-three billion, three hundred ten million, five hundred three thousand, forty".