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2124044141400 = 2332521736820951
BaseRepresentation
bin11110111010001010111…
…001011000001101011000
321112001112021210010112100
4132322022321120031120
5234300020300011100
64303434501243400
7306312536211126
oct36721271301530
97461467703470
102124044141400
117498905a9225
122a37a2103560
131253b15569cc
1474b38d5a916
153a3b8027400
hex1ee8ae58358

2124044141400 has 144 divisors (see below), whose sum is σ = 7174481942160. Its totient is φ = 563137632000.

The previous prime is 2124044141393. The next prime is 2124044141411. The reversal of 2124044141400 is 41414404212.

It is a happy number.

2124044141400 is a `hidden beast` number, since 2 + 1 + 240 + 4 + 4 + 1 + 414 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3099076 + ... + 3721875.

It is an arithmetic number, because the mean of its divisors is an integer number (49822791265).

Almost surely, 22124044141400 is an apocalyptic number.

2124044141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124044141400 is an abundant number, since it is smaller than the sum of its proper divisors (5050437800760).

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

2124044141400 is a wasteful number, since it uses less digits than its factorization.

2124044141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821146 (or 6821134 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2124044141400 its reverse (41414404212), we get a palindrome (2165458545612).

The spelling of 2124044141400 in words is "two trillion, one hundred twenty-four billion, forty-four million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 173 180 200 225 300 346 360 450 519 600 692 865 900 1038 1384 1557 1730 1800 2076 2595 3114 3460 4152 4325 5190 6228 6920 7785 8650 10380 12456 12975 15570 17300 20760 25950 31140 34600 38925 51900 62280 77850 103800 155700 311400 6820951 13641902 20462853 27283804 34104755 40925706 54567608 61388559 68209510 81851412 102314265 122777118 136419020 163702824 170523775 204628530 245554236 272838040 306942795 341047550 409257060 491108472 511571325 613885590 682095100 818514120 1023142650 1180024523 1227771180 1364190200 1534713975 2046285300 2360049046 2455542360 3069427950 3540073569 4092570600 4720098092 5900122615 6138855900 7080147138 9440196184 10620220707 11800245230 12277711800 14160294276 17700367845 21240441414 23600490460 28320588552 29500613075 35400735690 42480882828 47200980920 53101103535 59001226150 70801471380 84961765656 88501839225 106202207070 118002452300 141602942760 177003678450 212404414140 236004904600 265505517675 354007356900 424808828280 531011035350 708014713800 1062022070700 2124044141400