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1104104000440 = 235788715672837
BaseRepresentation
bin10000000100010001101…
…110100000101110111000
310220112212220110120222001
4100010101232200232320
5121042201111003230
62203115100310344
7142524504104260
oct20042156405670
93815786416861
101104104000440
1139627aa192a1
12159b962423b4
13801691112bc
143b6205707a0
151dac0e1b0ca
hex10111ba0bb8

1104104000440 has 128 divisors (see below), whose sum is σ = 2845141770240. Its totient is φ = 377748665856.

The previous prime is 1104104000429. The next prime is 1104104000453. The reversal of 1104104000440 is 440004014011.

It is a super-2 number, since 2×11041040004402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389178702 + ... + 389181538.

It is an arithmetic number, because the mean of its divisors is an integer number (22227670080).

Almost surely, 21104104000440 is an apocalyptic number.

1104104000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104104000440 is an abundant number, since it is smaller than the sum of its proper divisors (1741037769800).

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

1104104000440 is a wasteful number, since it uses less digits than its factorization.

1104104000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1104104000440 its reverse (440004014011), we get a palindrome (1544108014451).

The spelling of 1104104000440 in words is "one trillion, one hundred four billion, one hundred four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 887 1567 1774 2837 3134 3548 4435 5674 6209 6268 7096 7835 8870 10969 11348 12418 12536 14185 15670 17740 19859 21938 22696 24836 28370 31045 31340 35480 39718 43876 49672 54845 56740 62090 62680 79436 87752 99295 109690 113480 124180 158872 198590 219380 248360 397180 438760 794360 1389929 2516419 2779858 4445579 5032838 5559716 6949645 8891158 9729503 10065676 11119432 12582095 13899290 17614933 17782316 19459006 20131352 22227895 25164190 27798580 31119053 35229866 35564632 38918012 44455790 48647515 50328380 55597160 62238106 70459732 77836024 88074665 88911580 97295030 100656760 124476212 140919464 155595265 176149330 177823160 194590060 248952424 311190530 352298660 389180120 622381060 704597320 1244762120 3943228573 7886457146 15772914292 19716142865 27602600011 31545828584 39432285730 55205200022 78864571460 110410400044 138013000055 157729142920 220820800088 276026000110 552052000220 1104104000440