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1044249814076 = 2273717923923561
BaseRepresentation
bin11110011001000100010…
…00111010010000111100
310200211101120020212220212
433030202020322100330
5114102110423022301
62115415521331552
7135305324652230
oct17144210722074
93624346225825
101044249814076
11372955884177
1214a471196bb8
137761a948691
14387831d65c0
151c26b3bc4bb
hexf32223a43c

1044249814076 has 96 divisors (see below), whose sum is σ = 2166045235200. Its totient is φ = 431177402880.

The previous prime is 1044249814031. The next prime is 1044249814079. The reversal of 1044249814076 is 6704189424401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044249814079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44309336 + ... + 44332896.

It is an arithmetic number, because the mean of its divisors is an integer number (22562971200).

Almost surely, 21044249814076 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 1044249814076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083022617600).

1044249814076 is an abundant number, since it is smaller than the sum of its proper divisors (1121795421124).

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

1044249814076 is a wasteful number, since it uses less digits than its factorization.

1044249814076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24027 (or 24025 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 1044249814076 in words is "one trillion, forty-four billion, two hundred forty-nine million, eight hundred fourteen thousand, seventy-six".

Divisors: 1 2 4 7 14 28 37 74 148 179 239 259 358 478 518 716 956 1036 1253 1673 2506 3346 5012 6623 6692 8843 13246 17686 23561 26492 35372 42781 46361 47122 61901 85562 92722 94244 123802 164927 171124 185444 247604 299467 329854 598934 659708 871757 1197868 1582897 1743514 3165794 3487028 4217419 5631079 6102299 6331588 8434838 11080279 11262158 12204598 16869676 22160558 22524316 24409196 29521933 39417553 44321116 59043866 78835106 118087732 156044503 157670212 208349923 312089006 416699846 624178012 833399692 1007963141 1092311521 1458449461 2015926282 2184623042 2916898922 4031852564 4369246084 5833797844 7055741987 14111483974 28222967948 37294636217 74589272434 149178544868 261062453519 522124907038 1044249814076