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214441121241200 = 2452776586114729
BaseRepresentation
bin110000110000100001110110…
…110110110101100001110000
31001010021101000102222212121002
4300300201312312311201300
5211101400404014204300
62040024520251421132
763111600614451650
oct6060416666654160
91033241012885532
10214441121241200
1162366a72521497
12200741617547a8
139286931cb0739
143ad50116d0360
1519bd18b9ec5d5
hexc30876db5870

214441121241200 has 60 divisors (see below), whose sum is σ = 588794050044240. Its totient is φ = 73522670138880.

The previous prime is 214441121241121. The next prime is 214441121241239. The reversal of 214441121241200 is 2142121144412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38293054565 + ... + 38293060164.

It is an arithmetic number, because the mean of its divisors is an integer number (9813234167404).

Almost surely, 2214441121241200 is an apocalyptic number.

214441121241200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214441121241200 is an abundant number, since it is smaller than the sum of its proper divisors (374352928803040).

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

214441121241200 is a wasteful number, since it uses less digits than its factorization.

214441121241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76586114754 (or 76586114743 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 214441121241200 its reverse (2142121144412), we get a palindrome (216583242385612).

The spelling of 214441121241200 in words is "two hundred fourteen trillion, four hundred forty-one billion, one hundred twenty-one million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 76586114729 153172229458 306344458916 382930573645 536102803103 612688917832 765861147290 1072205606206 1225377835664 1531722294580 1914652868225 2144411212412 2680514015515 3063444589160 3829305736450 4288822424824 5361028031030 6126889178320 7658611472900 8577644849648 10722056062060 13402570077575 15317222945800 21444112124120 26805140155150 30634445891600 42888224248240 53610280310300 107220560620600 214441121241200