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206288145140 = 225711133953341
BaseRepresentation
bin1100000000011110111…
…0110100101011110100
3201201110120112112222212
43000013232310223310
511334434231121030
6234433434512552
720622004205450
oct3000756645364
9651416475885
10206288145140
117a539309770
1233b91595758
13165b6cc4b0c
149dad299660
155575528595
hex3007bb4af4

206288145140 has 48 divisors (see below), whose sum is σ = 540099874944. Its totient is φ = 64297603200.

The previous prime is 206288145059. The next prime is 206288145169. The reversal of 206288145140 is 41541882602.

206288145140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66975131 + ... + 66978210.

It is an arithmetic number, because the mean of its divisors is an integer number (11252080728).

Almost surely, 2206288145140 is an apocalyptic number.

206288145140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206288145140 is an abundant number, since it is smaller than the sum of its proper divisors (333811729804).

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

206288145140 is a wasteful number, since it uses less digits than its factorization.

206288145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133953368 (or 133953366 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 206288145140 in words is "two hundred six billion, two hundred eighty-eight million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 133953341 267906682 535813364 669766705 937673387 1339533410 1473486751 1875346774 2679066820 2946973502 3750693548 4688366935 5893947004 7367433755 9376733870 10314407257 14734867510 18753467740 20628814514 29469735020 41257629028 51572036285 103144072570 206288145140