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335053242000 = 24325318614069
BaseRepresentation
bin1001110000000101011…
…10101011111010010000
31012000211102210012222100
410320002232223322100
520442142112221000
6413531001440400
733130634365221
oct4700256537220
91160742705870
10335053242000
1111a105902894
1254b287a0100
13257980a4519
141230674b248
158aaec59a00
hex4e02babe90

335053242000 has 120 divisors (see below), whose sum is σ = 1170229352760. Its totient is φ = 89347526400.

The previous prime is 335053241993. The next prime is 335053242071. The reversal of 335053242000 is 242350533.

335053242000 is a `hidden beast` number, since 335 + 0 + 5 + 324 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7919576064 + 327133665936 = 88992^2 + 571956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3350532420002 (a number of 24 digits) contains 22 as substring.

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, 9289035 + ... + 9325034.

It is an arithmetic number, because the mean of its divisors is an integer number (9751911273).

Almost surely, 2335053242000 is an apocalyptic number.

335053242000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

335053242000 is an abundant number, since it is smaller than the sum of its proper divisors (835176110760).

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

335053242000 is a wasteful number, since it uses less digits than its factorization.

335053242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18614098 (or 18614079 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 335053242000 its reverse (242350533), we get a palindrome (335295592533).

The spelling of 335053242000 in words is "three hundred thirty-five billion, fifty-three million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 18614069 37228138 55842207 74456276 93070345 111684414 148912552 167526621 186140690 223368828 279211035 297825104 335053242 372281380 446737656 465351725 558422070 670106484 744562760 837633105 893475312 930703450 1116844140 1340212968 1396055175 1489125520 1675266210 1861406900 2233688280 2326758625 2680425936 2792110350 3350532420 3722813800 4188165525 4467376560 4653517250 5584220700 6701064840 6980275875 7445627600 8376331050 9307034500 11168441400 13402129680 13960551750 16752662100 18614069000 20940827625 22336882800 27921103500 33505324200 37228138000 41881655250 55842207000 67010648400 83763310500 111684414000 167526621000 335053242000