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42002440004 = 22753279110141
BaseRepresentation
bin100111000111100010…
…100101111101000100
311000102020000000210002
4213013202211331010
51142010111040004
631143510020432
73014600564210
oct470742457504
9130366000702
1042002440004
11168a4311938
128182647718
133c64ba23c5
1420664dd940
15115c6cc61e
hex9c78a5f44

42002440004 has 48 divisors (see below), whose sum is σ = 85628987136. Its totient is φ = 17653334400.

The previous prime is 42002439979. The next prime is 42002440049. The reversal of 42002440004 is 40004420024.

42002440004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4136774 + ... + 4146914.

It is an arithmetic number, because the mean of its divisors is an integer number (1783937232).

Almost surely, 242002440004 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 42002440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42814493568).

42002440004 is an abundant number, since it is smaller than the sum of its proper divisors (43626547132).

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

42002440004 is a wasteful number, since it uses less digits than its factorization.

42002440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42002440004 its reverse (40004420024), we get a palindrome (82006860028).

The spelling of 42002440004 in words is "forty-two billion, two million, four hundred forty thousand, four".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1484 2791 5582 10141 11164 19537 20282 39074 40564 70987 78148 141974 147923 283948 295846 537473 591692 1035461 1074946 2070922 2149892 3762311 4141844 7524622 15049244 28303531 56607062 113214124 198124717 396249434 792498868 1500087143 3000174286 6000348572 10500610001 21001220002 42002440004