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1104233312440 = 235192379201769
BaseRepresentation
bin10000000100011001011…
…011110011000010111000
310220120012220210022200101
4100010121123303002320
5121042432211444230
62203140000045144
7142530634201216
oct20043133630270
93816186708611
101104233312440
11396336a10315
1215a0116037b4
1380189b4888b
143b6337d1cb6
151dacc460aca
hex101196f30b8

1104233312440 has 96 divisors (see below), whose sum is σ = 2629103454000. Its totient is φ = 417340159488.

The previous prime is 1104233312407. The next prime is 1104233312449. The reversal of 1104233312440 is 442133324011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1104233312399 and 1104233312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104233312449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5371876 + ... + 5573644.

Almost surely, 21104233312440 is an apocalyptic number.

1104233312440 is a gapful number since it is divisible by the number (10) 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 1104233312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314551727000).

1104233312440 is an abundant number, since it is smaller than the sum of its proper divisors (1524870141560).

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

1104233312440 is a wasteful number, since it uses less digits than its factorization.

1104233312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202197 (or 202174 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1104233312440 its reverse (442133324011), we get a palindrome (1546366636451).

The spelling of 1104233312440 in words is "one trillion, one hundred four billion, two hundred thirty-three million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 379 380 722 758 760 1444 1516 1805 1895 2888 3032 3610 3790 7201 7220 7580 14402 14440 15160 28804 36005 57608 72010 136819 144020 201769 273638 288040 403538 547276 684095 807076 1008845 1094552 1368190 1614152 2017690 2736380 3833611 4035380 5472760 7667222 8070760 15334444 19168055 30668888 38336110 72838609 76470451 76672220 145677218 152940902 153344440 291354436 305881804 364193045 382352255 582708872 611763608 728386090 764704510 1452938569 1456772180 1529409020 2905877138 2913544360 3058818040 5811754276 7264692845 11623508552 14529385690 27605832811 29058771380 55211665622 58117542760 110423331244 138029164055 220846662488 276058328110 552116656220 1104233312440