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1104133001440 = 25572472996453
BaseRepresentation
bin10000000100010011011…
…101001001000011100000
310220112221221000222212011
4100010103131021003200
5121042231022021230
62203122014042304
7142525305442300
oct20042335110340
93815857028764
101104133001440
11396295327167
12159ba3aa9394
1380172126661
143b62435d600
151dac3748e2a
hex101137490e0

1104133001440 has 144 divisors (see below), whose sum is σ = 3098956698432. Its totient is φ = 370505296896.

The previous prime is 1104133001431. The next prime is 1104133001449. The reversal of 1104133001440 is 441003314011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1104133001431) and next prime (1104133001449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104133001449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129747 + ... + 1866706.

It is an arithmetic number, because the mean of its divisors is an integer number (21520532628).

Almost surely, 21104133001440 is an apocalyptic number.

1104133001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104133001440 is an abundant number, since it is smaller than the sum of its proper divisors (1994823696992).

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

1104133001440 is a wasteful number, since it uses less digits than its factorization.

1104133001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996529 (or 2996514 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1104133001440 its reverse (441003314011), we get a palindrome (1545136315451).

The spelling of 1104133001440 in words is "one trillion, one hundred four billion, one hundred thirty-three million, one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 49 56 70 80 94 98 112 140 160 188 196 224 235 245 280 329 376 392 470 490 560 658 752 784 940 980 1120 1316 1504 1568 1645 1880 1960 2303 2632 3290 3760 3920 4606 5264 6580 7520 7840 9212 10528 11515 13160 18424 23030 26320 36848 46060 52640 73696 92120 184240 368480 2996453 5992906 11985812 14982265 20975171 23971624 29964530 41950342 47943248 59929060 83900684 95886496 104875855 119858120 140833291 146826197 167801368 209751710 239716240 281666582 293652394 335602736 419503420 479432480 563333164 587304788 671205472 704166455 734130985 839006840 985833037 1126666328 1174609576 1408332910 1468261970 1678013680 1971666074 2253332656 2349219152 2816665820 2936523940 3356027360 3943332148 4506665312 4698438304 4929165185 5633331640 5873047880 6900831259 7886664296 9858330370 11266663280 11746095760 13801662518 15773328592 19716660740 22533326560 23492191520 27603325036 31546657184 34504156295 39433321480 55206650072 69008312590 78866642960 110413300144 138016625180 157733285920 220826600288 276033250360 552066500720 1104133001440