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214243040444000 = 2553274071954273
BaseRepresentation
bin110000101101101001011000…
…010100100011111001100000
31001002120102201212000210101212
4300231221120110203321200
5211040124221323202000
62035353521040445252
763061356156453251
oct6055513024437140
91032512655023355
10214243040444000
116229aa66031807
12200418a0919828
139271055489729
143ac95c0474b28
1519b7e46ccac35
hexc2da58523e60

214243040444000 has 96 divisors (see below), whose sum is σ = 526414626331776. Its totient is φ = 85694045491200.

The previous prime is 214243040443981. The next prime is 214243040444011. The reversal of 214243040444000 is 444040342412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108650864 + ... + 110605136.

It is an arithmetic number, because the mean of its divisors is an integer number (5483485690956).

Almost surely, 2214243040444000 is an apocalyptic number.

214243040444000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214243040444000 is an abundant number, since it is smaller than the sum of its proper divisors (312171585887776).

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

214243040444000 is a wasteful number, since it uses less digits than its factorization.

214243040444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981705 (or 1981687 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 214243040444000 its reverse (444040342412), we get a palindrome (214687080786412).

The spelling of 214243040444000 in words is "two hundred fourteen trillion, two hundred forty-three billion, forty million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 27407 54814 109628 137035 219256 274070 438512 548140 685175 877024 1096280 1370350 1954273 2192560 2740700 3425875 3908546 4385120 5481400 6851750 7817092 9771365 10962800 13703500 15634184 19542730 21925600 27407000 31268368 39085460 48856825 54814000 62536736 78170920 97713650 109628000 156341840 195427300 244284125 312683680 390854600 488568250 781709200 977136500 1563418400 1954273000 3908546000 7817092000 53560760111 107121520222 214243040444 267803800555 428486080888 535607601110 856972161776 1071215202220 1339019002775 1713944323552 2142430404440 2678038005550 4284860808880 5356076011100 6695095013875 8569721617760 10712152022200 13390190027750 21424304044400 26780380055500 42848608088800 53560760111000 107121520222000 214243040444000