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515144041005 = 351141735471907
BaseRepresentation
bin1110111111100001111…
…10100100001000101101
31211020200021101201001010
413133300332210020231
531420003333303010
61032353124335433
752134515046366
oct7376076441055
91736607351033
10515144041005
11189520421670
1283a08844579
133976878a599
141ad0c620b6d
15d6003eb620
hex77f0fa422d

515144041005 has 128 divisors (see below), whose sum is σ = 935906420736. Its totient is φ = 239771750400.

The previous prime is 515144041001. The next prime is 515144041007. The reversal of 515144041005 is 500140441515.

It is not a de Polignac number, because 515144041005 - 22 = 515144041001 is a prime.

It is a super-2 number, since 2×5151440410052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515144041001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270132262 + ... + 270134168.

It is an arithmetic number, because the mean of its divisors is an integer number (7311768912).

Almost surely, 2515144041005 is an apocalyptic number.

515144041005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

515144041005 is a deficient number, since it is larger than the sum of its proper divisors (420762379731).

515144041005 is a wasteful number, since it uses less digits than its factorization.

515144041005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587.

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 515144041005 in words is "five hundred fifteen billion, one hundred forty-four million, forty-one thousand, five".

Divisors: 1 3 5 11 15 33 41 55 73 123 165 205 219 365 451 547 615 803 1095 1353 1641 1907 2255 2409 2735 2993 4015 5721 6017 6765 8205 8979 9535 12045 14965 18051 20977 22427 28605 30085 32923 39931 44895 62931 67281 78187 90255 98769 104885 112135 119793 139211 164615 199655 234561 246697 314655 336405 390935 417633 439241 493845 598965 696055 740091 860057 1043129 1172805 1233485 1317723 1531321 1637171 2088165 2196205 2580171 3129387 3700455 4300285 4593963 4911513 5215645 5707651 6588615 7656605 8185855 11474419 12900855 15646935 17122953 18008881 22969815 24557565 28538255 34423257 42768289 54026643 57372095 62784161 76148417 85614765 90044405 128304867 172116285 188352483 213841445 228445251 270133215 313920805 380742085 470451179 641524335 837632587 941762415 1142226255 1411353537 2352255895 2512897761 3122085097 4188162935 7056767685 9366255291 12564488805 15610425485 34342936067 46831276455 103028808201 171714680335 515144041005