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12144271545 = 3357314110111
BaseRepresentation
bin10110100111101101…
…01110000010111001
31011100100120220201000
423103312232002321
5144332413142140
65325021515213
7606642414330
oct132366560271
934310526630
1012144271545
115172140a5a
12242b112b09
1311b70091c3
14832c54d17
154b126ca30
hex2d3dae0b9

12144271545 has 128 divisors (see below), whose sum is σ = 26093813760. Its totient is φ = 5241024000.

The previous prime is 12144271541. The next prime is 12144271567. The reversal of 12144271545 is 54517244121.

12144271545 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 42 + 71 + 545 = 666.

It is not a de Polignac number, because 12144271545 - 22 = 12144271541 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12144271541) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1196040 + ... + 1206150.

It is an arithmetic number, because the mean of its divisors is an integer number (203857920).

Almost surely, 212144271545 is an apocalyptic number.

12144271545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12144271545 is an abundant number, since it is smaller than the sum of its proper divisors (13949542215).

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

12144271545 is a wasteful number, since it uses less digits than its factorization.

12144271545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10198 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The spelling of 12144271545 in words is "twelve billion, one hundred forty-four million, two hundred seventy-one thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 41 45 63 93 105 123 135 155 189 205 217 279 287 315 369 465 615 651 837 861 945 1085 1107 1271 1395 1435 1845 1953 2583 3255 3813 4185 4305 5535 5859 6355 7749 8897 9765 10111 11439 12915 19065 26691 29295 30333 34317 38745 44485 50555 57195 70777 80073 90999 133455 151665 171585 212331 240219 272997 313441 353885 400365 414551 454995 636993 940323 1061655 1201095 1243653 1364985 1567205 1910979 2072755 2194087 2820969 2901857 3184965 3730959 4701615 6218265 6582261 8462907 8705571 9554895 10970435 11192877 12851081 14104845 14509285 18654795 19746783 26116713 32911305 38553243 42314535 43527855 55964385 59240349 64255405 78350139 89957567 98733915 115659729 130583565 192766215 269872701 296201745 346979187 391750695 449787835 578298645 809618103 1349363505 1734895935 2428854309 4048090515 12144271545