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23444362453140 = 223255397713191907
BaseRepresentation
bin1010101010010100100001…
…11001010110000010010100
310002000020222221002021021200
411111022100321112002110
511033103023242000030
6121510105203112500
74636541104556046
oct525122071260224
9102006887067250
1023444362453140
117519775458822
122767811672730
131010a4224c435
145b09db027a96
152a9c95978d60
hex155290e56094

23444362453140 has 288 divisors, whose sum is σ = 72623564133120. Its totient is φ = 6119736250368.

The previous prime is 23444362453133. The next prime is 23444362453207. The reversal of 23444362453140 is 4135426344432.

23444362453140 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 4 + 3 + 624 + 5 + 3 + 14 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12293844067 + ... + 12293845973.

It is an arithmetic number, because the mean of its divisors is an integer number (252165153240).

Almost surely, 223444362453140 is an apocalyptic number.

23444362453140 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 23444362453140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36311782066560).

23444362453140 is an abundant number, since it is smaller than the sum of its proper divisors (49179201679980).

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

23444362453140 is a wasteful number, since it uses less digits than its factorization.

23444362453140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

Adding to 23444362453140 its reverse (4135426344432), we get a palindrome (27579788797572).

The spelling of 23444362453140 in words is "twenty-three trillion, four hundred forty-four billion, three hundred sixty-two million, four hundred fifty-three thousand, one hundred forty".