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514400540150 = 25278917779293
BaseRepresentation
bin1110111110001001010…
…10010101010111110110
31211011202110100221121102
413133010222111113312
531411443014241100
61032151244450102
752110216306410
oct7370452252766
91734673327542
10514400540150
11189179770452
128383b849932
133967a72a053
141ac7b9a19b0
15d5a9ed4cd5
hex77c4a955f6

514400540150 has 96 divisors (see below), whose sum is σ = 1106496054720. Its totient is φ = 174267371520.

The previous prime is 514400540149. The next prime is 514400540161. The reversal of 514400540150 is 51045004415.

It is a super-2 number, since 2×5144005401502 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55348904 + ... + 55358196.

It is an arithmetic number, because the mean of its divisors is an integer number (11526000570).

Almost surely, 2514400540150 is an apocalyptic number.

514400540150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

514400540150 is an abundant number, since it is smaller than the sum of its proper divisors (592095514570).

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

514400540150 is a wasteful number, since it uses less digits than its factorization.

514400540150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 514400540150 its reverse (51045004415), we get a palindrome (565445544565).

The spelling of 514400540150 in words is "five hundred fourteen billion, four hundred million, five hundred forty thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 89 175 178 350 445 623 890 1246 1777 2225 3115 3554 4450 6230 8885 9293 12439 15575 17770 18586 24878 31150 44425 46465 62195 65051 88850 92930 124390 130102 158153 232325 310975 316306 325255 464650 621950 650510 790765 827077 1107071 1581530 1626275 1654154 2214142 3252550 3953825 4135385 5535355 5789539 7907650 8270770 11070710 11579078 16513661 20676925 27676775 28947695 33027322 41353850 55353550 57895390 82568305 115595627 144738475 165136610 231191254 289476950 412841525 577978135 825683050 1155956270 1469715829 2889890675 2939431658 5779781350 7348579145 10288010803 14697158290 20576021606 36742895725 51440054015 73485791450 102880108030 257200270075 514400540150