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1145347216128 = 283455234723
BaseRepresentation
bin10000101010101100000…
…000111001001100000000
311001111100012212000210000
4100222230000321030000
5122231132341404003
62234055405440000
7145514525463513
oct20525400711400
94044305760700
101145347216128
1140181470a715
12165b86570000
138400c90943b
143d613cbad7a
151ebd6b281a3
hex10aac039300

1145347216128 has 90 divisors (see below), whose sum is σ = 3415218219644. Its totient is φ = 381782398464.

The previous prime is 1145347216099. The next prime is 1145347216199. The reversal of 1145347216128 is 8216127435411.

1145347216128 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 4 + 7 + 21 + 612 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27596626 + ... + 27638097.

Almost surely, 21145347216128 is an apocalyptic number.

1145347216128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1145347216128 is an abundant number, since it is smaller than the sum of its proper divisors (2269871003516).

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

1145347216128 is an frugal number, since it uses more digits than its factorization.

1145347216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55234751 (or 55234728 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 1145347216128 in words is "one trillion, one hundred forty-five billion, three hundred forty-seven million, two hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 55234723 110469446 165704169 220938892 331408338 441877784 497112507 662816676 883755568 994225014 1325633352 1491337521 1767511136 1988450028 2651266704 2982675042 3535022272 3976900056 4474012563 5302533408 5965350084 7070044544 7953800112 8948025126 10605066816 11930700168 14140089088 15907600224 17896050252 21210133632 23861400336 31815200448 35792100504 42420267264 47722800672 63630400896 71584201008 95445601344 127260801792 143168402016 190891202688 286336804032 381782405376 572673608064 1145347216128