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1014020104004 = 221745738338513
BaseRepresentation
bin11101100000110000100…
…11101101111101000100
310120221100210201111120022
432300120103231331010
5113103203121312004
62053500121554312
7133155235445555
oct16603023557504
93527323644508
101014020104004
11361052a05606
12144635345998
1374810ac627b
143711647432c
151b59c51b2be
hexec184edf44

1014020104004 has 48 divisors (see below), whose sum is σ = 1883743546608. Its totient is φ = 475961622528.

The previous prime is 1014020103997. The next prime is 1014020104049. The reversal of 1014020104004 is 4004010204101.

1014020104004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 249010980100 + 765009123904 = 499010^2 + 874648^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 119110052 + ... + 119118564.

It is an arithmetic number, because the mean of its divisors is an integer number (39244657221).

Almost surely, 21014020104004 is an apocalyptic number.

It is an amenable number.

1014020104004 is a deficient number, since it is larger than the sum of its proper divisors (869723442604).

1014020104004 is a wasteful number, since it uses less digits than its factorization.

1014020104004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12824 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1014020104004 its reverse (4004010204101), we get a palindrome (5018030308105).

The spelling of 1014020104004 in words is "one trillion, fourteen billion, twenty million, one hundred four thousand, four".

Divisors: 1 2 4 17 34 68 457 914 1828 3833 7666 7769 8513 15332 15538 17026 31076 34052 65161 130322 144721 260644 289442 578884 1751681 3503362 3890441 7006724 7780882 15561764 29778577 32630329 59557154 65260658 66137497 119114308 130521316 132274994 264549988 554715593 1109431186 2218862372 14912060353 29824120706 59648241412 253505026001 507010052002 1014020104004