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1044706117 = 721321741181
BaseRepresentation
bin111110010001001…
…111001101000101
32200210210120101011
4332101033031011
54114421043432
6251355402221
734613566300
oct7621171505
92623716334
101044706117
11496789194
12251a53371
13138590b00
149ca67b37
1561ab2847
hex3e44f345

1044706117 has 72 divisors (see below), whose sum is σ = 1435222152. Its totient is φ = 754790400.

The previous prime is 1044706111. The next prime is 1044706129. The reversal of 1044706117 is 7116074401.

It can be written as a sum of positive squares in 12 ways, for example, as 945624001 + 99082116 = 30751^2 + 9954^2 .

It is not a de Polignac number, because 1044706117 - 23 = 1044706109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044706111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5771767 + ... + 5771947.

It is an arithmetic number, because the mean of its divisors is an integer number (19933641).

Almost surely, 21044706117 is an apocalyptic number.

1044706117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1044706117 is a deficient number, since it is larger than the sum of its proper divisors (390516035).

1044706117 is a wasteful number, since it uses less digits than its factorization.

1044706117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 1044706117 is about 32321.9138820708. The cubic root of 1044706117 is about 1014.6853245693.

The spelling of 1044706117 in words is "one billion, forty-four million, seven hundred six thousand, one hundred seventeen".

Divisors: 1 7 13 17 41 49 91 119 169 181 221 287 533 637 697 833 1183 1267 1547 2009 2353 2873 3077 3731 4879 6929 7421 8281 8869 9061 10829 16471 20111 21539 26117 30589 34153 40001 48503 51947 63427 96473 115297 117793 126157 140777 150773 214123 280007 339521 363629 443989 520013 675311 824551 883099 1254149 1498861 1640041 1960049 3640091 4727177 5771857 6181693 8779043 11480287 21320533 25480637 61453301 80362009 149243731 1044706117