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2104340015440 = 2451313164723873
BaseRepresentation
bin11110100111110100011…
…100000110100101010000
321110011200001222211011101
4132213310130012211100
5233434142020443230
64250415341354144
7305014336000555
oct36476434064520
97404601884141
102104340015440
1174149a095803
1229ba03268954
13123591263b90
1473bca092a2c
1539b13252aca
hex1e9f4706950

2104340015440 has 160 divisors (see below), whose sum is σ = 5317593152256. Its totient is φ = 769831895040.

The previous prime is 2104340015419. The next prime is 2104340015441. The reversal of 2104340015440 is 445100434012.

It is a junction number, because it is equal to n+sod(n) for n = 2104340015399 and 2104340015408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104340015441) 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, 88135344 + ... + 88159216.

Almost surely, 22104340015440 is an apocalyptic number.

2104340015440 is a gapful number since it is divisible by the number (20) 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 2104340015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658796576128).

2104340015440 is an abundant number, since it is smaller than the sum of its proper divisors (3213253136816).

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

2104340015440 is a wasteful number, since it uses less digits than its factorization.

2104340015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24677 (or 24671 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2104340015440 its reverse (445100434012), we get a palindrome (2549440449452).

The spelling of 2104340015440 in words is "two trillion, one hundred four billion, three hundred forty million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 208 260 262 520 524 647 655 1040 1048 1294 1310 1703 2096 2588 2620 3235 3406 5176 5240 6470 6812 8411 8515 10352 10480 12940 13624 16822 17030 23873 25880 27248 33644 34060 42055 47746 51760 67288 68120 84110 84757 95492 119365 134576 136240 168220 169514 190984 238730 310349 336440 339028 381968 423785 477460 620698 672880 678056 847570 954920 1101841 1241396 1356112 1551745 1695140 1909840 2203682 2482792 3103490 3127363 3390280 4407364 4965584 5509205 6206980 6254726 6780560 8814728 11018410 12413960 12509452 15445831 15636815 17629456 22036820 24827920 25018904 30891662 31273630 40655719 44073640 50037808 61783324 62547260 77229155 81311438 88147280 123566648 125094520 154458310 162622876 200795803 203278595 247133296 250189040 308916620 325245752 401591606 406557190 617833240 650491504 803183212 813114380 1003979015 1235666480 1606366424 1626228760 2007958030 2023403861 3212732848 3252457520 4015916060 4046807722 8031832120 8093615444 10117019305 16063664240 16187230888 20234038610 26304250193 32374461776 40468077220 52608500386 80936154440 105217000772 131521250965 161872308880 210434001544 263042501930 420868003088 526085003860 1052170007720 2104340015440