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1045141104 = 24375952721
BaseRepresentation
bin111110010010111…
…001011001110000
32200211121200001210
4332102321121300
54120024003404
6251413000120
734620360420
oct7622713160
92624550053
101045141104
11496a55a87
12252023040
131386b3ab7
149cb3c480
1561b4b689
hex3e4b9670

1045141104 has 80 divisors (see below), whose sum is σ = 3138013440. Its totient is φ = 293544960.

The previous prime is 1045141081. The next prime is 1045141157. The reversal of 1045141104 is 4011415401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 6537 + ... + 46184.

It is an arithmetic number, because the mean of its divisors is an integer number (39225168).

Almost surely, 21045141104 is an apocalyptic number.

1045141104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569006720).

1045141104 is an abundant number, since it is smaller than the sum of its proper divisors (2092872336).

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

1045141104 is a wasteful number, since it uses less digits than its factorization.

1045141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52798 (or 52792 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1045141104 is about 32328.6421614023. The cubic root of 1045141104 is about 1014.8261340830.

Adding to 1045141104 its reverse (4011415401), we get a palindrome (5056556505).

The spelling of 1045141104 in words is "one billion, forty-five million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 19824 52721 105442 158163 210884 316326 369047 421768 632652 738094 843536 1107141 1265304 1476188 2214282 2530608 2952376 3110539 4428564 5904752 6221078 8857128 9331617 12442156 17714256 18663234 21773773 24884312 37326468 43547546 49768624 65321319 74652936 87095092 130642638 149305872 174190184 261285276 348380368 522570552 1045141104