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3144000015 = 345131953593
BaseRepresentation
bin1011101101100101…
…1010001000001111
322010002222202020000
42323121122020033
522414331000030
61235550455343
7140624362542
oct27331321017
98102882200
103144000015
111373784822
12738b04553
133b1492450
1421b7ac859
1513603a860
hexbb65a20f

3144000015 has 160 divisors (see below), whose sum is σ = 6520409280. Its totient is φ = 1436258304.

The previous prime is 3144000011. The next prime is 3144000031. The reversal of 3144000015 is 5100004413.

It is a happy number.

It is not a de Polignac number, because 3144000015 - 22 = 3144000011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5301559 + ... + 5302151.

It is an arithmetic number, because the mean of its divisors is an integer number (40752558).

Almost surely, 23144000015 is an apocalyptic number.

3144000015 is an abundant number, since it is smaller than the sum of its proper divisors (3376409265).

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

3144000015 is a wasteful number, since it uses less digits than its factorization.

3144000015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3144000015 is about 56071.3832092628. The cubic root of 3144000015 is about 1464.9658912566.

Adding to 3144000015 its reverse (5100004413), we get a palindrome (8244004428).

The spelling of 3144000015 in words is "three billion, one hundred forty-four million, fifteen", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 19 27 39 45 53 57 65 81 95 117 135 159 171 195 247 265 285 351 405 477 513 585 593 689 741 795 855 1007 1053 1235 1431 1539 1755 1779 2067 2223 2385 2565 2965 3021 3445 3705 4293 5035 5265 5337 6201 6669 7155 7695 7709 8895 9063 10335 11115 11267 13091 15105 16011 18603 20007 21465 23127 26685 27189 31005 31429 33345 33801 38545 39273 45315 48033 55809 56335 65455 69381 80055 81567 93015 94287 100035 101403 115635 117819 135945 146471 157145 169005 196365 208143 240165 279045 282861 304209 346905 353457 407835 408577 439413 471435 507015 589095 597151 624429 732355 848583 912627 1040715 1060371 1225731 1318239 1414305 1521045 1767285 1791453 2042885 2197065 2545749 2985755 3122145 3677193 3954717 4242915 4563135 5301855 5374359 6128655 6591195 7762963 8957265 11031579 11864151 12728745 16123077 18385965 19773585 23288889 26871795 33094737 38814815 48369231 55157895 59320755 69866667 80615385 116444445 165473685 209600001 241846155 349333335 628800003 1048000005 3144000015