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2104100023440 = 2435127131526963
BaseRepresentation
bin11110100111100110001…
…000100110110010010000
321110011001100101222000210
4132213212020212302100
5233433144101222230
64250335445444120
7305005363050462
oct36474610466220
97404040358023
102104100023440
11741386678208
1229b956a10640
1312355361688c
1473ba6260132
1539aec148eb0
hex1e9e6226c90

2104100023440 has 160 divisors (see below), whose sum is σ = 6624266305536. Its totient is φ = 552424803840.

The previous prime is 2104100023411. The next prime is 2104100023451. The reversal of 2104100023440 is 443200014012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3729399 + ... + 4256361.

Almost surely, 22104100023440 is an apocalyptic number.

2104100023440 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 2104100023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312133152768).

2104100023440 is an abundant number, since it is smaller than the sum of its proper divisors (4520166282096).

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

2104100023440 is a wasteful number, since it uses less digits than its factorization.

2104100023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527237 (or 527231 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2104100023440 its reverse (443200014012), we get a palindrome (2547300037452).

The spelling of 2104100023440 in words is "two trillion, one hundred four billion, one hundred million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 131 240 254 262 381 393 508 524 635 655 762 786 1016 1048 1270 1310 1524 1572 1905 1965 2032 2096 2540 2620 3048 3144 3810 3930 5080 5240 6096 6288 7620 7860 10160 10480 15240 15720 16637 30480 31440 33274 49911 66548 83185 99822 133096 166370 199644 249555 266192 332740 399288 499110 526963 665480 798576 998220 1053926 1330960 1580889 1996440 2107852 2634815 3161778 3992880 4215704 5269630 6323556 7904445 8431408 10539260 12647112 15808890 21078520 25294224 31617780 42157040 63235560 66924301 69032153 126471120 133848602 138064306 200772903 207096459 267697204 276128612 334621505 345160765 401545806 414192918 535394408 552257224 669243010 690321530 803091612 828385836 1003864515 1035482295 1070788816 1104514448 1338486020 1380643060 1606183224 1656771672 2007729030 2070964590 2676972040 2761286120 3212366448 3313543344 4015458060 4141929180 5353944080 5522572240 8030916120 8283858360 8767083431 16061832240 16567716720 17534166862 26301250293 35068333724 43835417155 52602500586 70136667448 87670834310 105205001172 131506251465 140273334896 175341668620 210410002344 263012502930 350683337240 420820004688 526025005860 701366674480 1052050011720 2104100023440