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330231142423000 = 2353713171992414451
BaseRepresentation
bin100101100010101111110110…
…1111100000001100111011000
31121022020210022002220000221201
41023011133231330001213120
5321241001334430014000
63130202031551443544
7126362261362304410
oct11305375574014730
91538223262800851
10330231142423000
1196249271876045
12310550115265b4
1311235880b10660
145b793b5d31640
15282a10ab4b96a
hex12c57edf019d8

330231142423000 has 1024 divisors, whose sum is σ = 1016498875392000. Its totient is φ = 97442611200000.

The previous prime is 330231142422859. The next prime is 330231142423009. The reversal of 330231142423000 is 324241132033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 330231142423000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330231142423009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74192570775 + ... + 74192575225.

It is an arithmetic number, because the mean of its divisors is an integer number (992674683000).

Almost surely, 2330231142423000 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 330231142423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508249437696000).

330231142423000 is an abundant number, since it is smaller than the sum of its proper divisors (686267732969000).

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

330231142423000 is a wasteful number, since it uses less digits than its factorization.

330231142423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330231142423000 its reverse (324241132033), we get a palindrome (330555383555033).

The spelling of 330231142423000 in words is "three hundred thirty trillion, two hundred thirty-one billion, one hundred forty-two million, four hundred twenty-three thousand".