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1003104444114 = 232377611979189
BaseRepresentation
bin11101001100011011010…
…11110001111011010010
310112220012001222112012200
432212031223301323102
5112413324214202424
62044453025304030
7132320602043343
oct16461553617322
93486161875180
101003104444114
11357461342793
121424a9795016
13737914bb616
143679c87a0ca
151b15e08b8c9
hexe98daf1ed2

1003104444114 has 48 divisors (see below), whose sum is σ = 2235067599960. Its totient is φ = 324903502080.

The previous prime is 1003104444103. The next prime is 1003104444131. The reversal of 1003104444114 is 4114444013001.

1003104444114 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 104 + 444 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 918658990089 + 84445454025 = 958467^2 + 290595^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482769 + ... + 1496420.

Almost surely, 21003104444114 is an apocalyptic number.

1003104444114 is an abundant number, since it is smaller than the sum of its proper divisors (1231963155846).

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

1003104444114 is a wasteful number, since it uses less digits than its factorization.

1003104444114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979995 (or 1979992 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1003104444114 its reverse (4114444013001), we get a palindrome (5117548457115).

The spelling of 1003104444114 in words is "one trillion, three billion, one hundred four million, four hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 761 1522 2283 4566 6849 13698 28157 56314 84471 168942 253413 506826 1979189 3958378 5937567 11875134 17812701 35625402 73229993 146459986 219689979 439379958 659069937 1318139874 1506162829 3012325658 4518488487 9036976974 13555465461 27110930922 55728024673 111456049346 167184074019 334368148038 501552222057 1003104444114