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23028140426112 = 273519311399043
BaseRepresentation
bin1010011110001101010000…
…01000010100001110000000
310000112110122200220112200000
411033012220020110032000
511004243112422113422
6120550552012400000
74564504533656433
oct517065010241600
9100473580815600
1023028140426112
1173791a7a23418
1226bb011776000
13cb070cb5a943
145987d461981a
1529e034d2dcac
hex14f1a8214380

23028140426112 has 768 divisors, whose sum is σ = 75215981568000. Its totient is φ = 6986060421120.

The previous prime is 23028140426099. The next prime is 23028140426119. The reversal of 23028140426112 is 21162404182032.

23028140426112 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 81 + 40 + 426 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23028140426119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2546511063 + ... + 2546520105.

It is an arithmetic number, because the mean of its divisors is an integer number (97937476000).

Almost surely, 223028140426112 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 23028140426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37607990784000).

23028140426112 is an abundant number, since it is smaller than the sum of its proper divisors (52187841141888).

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

23028140426112 is a wasteful number, since it uses less digits than its factorization.

23028140426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 23028140426112 in words is "twenty-three trillion, twenty-eight billion, one hundred forty million, four hundred twenty-six thousand, one hundred twelve".