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1442479104 = 21035111731
BaseRepresentation
bin101010111111010…
…0111110000000000
310201112021112100000
41111332213300000
510423233312404
6355045200000
750513604303
oct12576476000
93645245300
101442479104
116802729a0
12343100000
1319cb02841
14d980cb3a
1586986339
hex55fa7c00

1442479104 has 528 divisors, whose sum is σ = 5150186496. Its totient is φ = 398131200.

The previous prime is 1442478997. The next prime is 1442479117. The reversal of 1442479104 is 4019742441.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46531569 + ... + 46531599.

Almost surely, 21442479104 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 1442479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575093248).

1442479104 is an abundant number, since it is smaller than the sum of its proper divisors (3707707392).

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

1442479104 is a wasteful number, since it uses less digits than its factorization.

1442479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1442479104 is about 37979.9829383848. The cubic root of 1442479104 is about 1129.8908981777.

It can be divided in two parts, 144247 and 9104, that added together give a palindrome (153351).

The spelling of 1442479104 in words is "one billion, four hundred forty-two million, four hundred seventy-nine thousand, one hundred four".