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102044441004 = 223111794318793
BaseRepresentation
bin101111100001001010…
…0101001100110101100
3100202101122121201001220
41133002110221212230
53132441334103004
6114513434303340
710241520302622
oct1370224514654
9322348551056
10102044441004
113a305476970
121793a587b50
139813246b4c
144d207a7512
1529c3979dd9
hex17c25299ac

102044441004 has 48 divisors (see below), whose sum is σ = 261200661120. Its totient is φ = 30749799040.

The previous prime is 102044441003. The next prime is 102044441047. The reversal of 102044441004 is 400144440201.

It is a happy number.

102044441004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102044441003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135769 + ... + 2183024.

It is an arithmetic number, because the mean of its divisors is an integer number (5441680440).

Almost surely, 2102044441004 is an apocalyptic number.

It is an amenable number.

102044441004 is an abundant number, since it is smaller than the sum of its proper divisors (159156220116).

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

102044441004 is a wasteful number, since it uses less digits than its factorization.

102044441004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318990 (or 4318988 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102044441004 its reverse (400144440201), we get a palindrome (502188881205).

The spelling of 102044441004 in words is "one hundred two billion, forty-four million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 537 716 1074 1969 2148 3938 5907 7876 11814 23628 4318793 8637586 12956379 17275172 25912758 47506723 51825516 95013446 142520169 190026892 285040338 570080676 773063947 1546127894 2319191841 3092255788 4638383682 8503703417 9276767364 17007406834 25511110251 34014813668 51022220502 102044441004