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2114141320440 = 2332514094167931
BaseRepresentation
bin11110110000111100101…
…001000111010011111000
321111002222010212200222200
4132300330221013103320
5234114230134223230
64255120105350200
7305512251502032
oct36607451072370
97432863780880
102114141320440
11745669729276
122a1899798360
13124493a33036
1474479a92c52
1539ed8963160
hex1ec3ca474f8

2114141320440 has 96 divisors (see below), whose sum is σ = 6875837420400. Its totient is φ = 563370762240.

The previous prime is 2114141320433. The next prime is 2114141320457. The reversal of 2114141320440 is 440231414112.

2114141320440 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 413 + 204 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576726 + ... + 2591205.

Almost surely, 22114141320440 is an apocalyptic number.

2114141320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114141320440 is an abundant number, since it is smaller than the sum of its proper divisors (4761696099960).

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

2114141320440 is a wasteful number, since it uses less digits than its factorization.

2114141320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169357 (or 4169350 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2114141320440 its reverse (440231414112), we get a palindrome (2554372734552).

The spelling of 2114141320440 in words is "two trillion, one hundred fourteen billion, one hundred forty-one million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1409 2818 4227 5636 7045 8454 11272 12681 14090 16908 21135 25362 28180 33816 42270 50724 56360 63405 84540 101448 126810 169080 253620 507240 4167931 8335862 12503793 16671724 20839655 25007586 33343448 37511379 41679310 50015172 62518965 75022758 83358620 100030344 125037930 150045516 166717240 187556895 250075860 300091032 375113790 500151720 750227580 1500455160 5872614779 11745229558 17617844337 23490459116 29363073895 35235688674 46980918232 52853533011 58726147790 70471377348 88089221685 105707066022 117452295580 140942754696 176178443370 211414132044 234904591160 264267665055 352356886740 422828264088 528535330110 704713773480 1057070660220 2114141320440