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514252520240 = 24510799760257
BaseRepresentation
bin1110111101110111101…
…01101011101100110000
31211011101010211202110112
413132323311223230300
531411142121121430
61032124440120452
752103441204444
oct7367365535460
91734333752415
10514252520240
11189103160948
12837ba166128
1339655b724c4
141ac66070824
15d59bee7195
hex77bbd6bb30

514252520240 has 80 divisors (see below), whose sum is σ = 1208041778592. Its totient is φ = 203570798592.

The previous prime is 514252520239. The next prime is 514252520279. The reversal of 514252520240 is 42025252415.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 514252520197 and 514252520206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8504192 + ... + 8564448.

Almost surely, 2514252520240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514252520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604020889296).

514252520240 is an abundant number, since it is smaller than the sum of its proper divisors (693789258352).

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

514252520240 is a wasteful number, since it uses less digits than its factorization.

514252520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61374 (or 61368 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 514252520240 its reverse (42025252415), we get a palindrome (556277772655).

The spelling of 514252520240 in words is "five hundred fourteen billion, two hundred fifty-two million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 997 1070 1712 1994 2140 3988 4280 4985 7976 8560 9970 15952 19940 39880 60257 79760 106679 120514 213358 241028 301285 426716 482056 533395 602570 853432 964112 1066790 1205140 1706864 2133580 2410280 4267160 4820560 6447499 8534320 12894998 25789996 32237495 51579992 60076229 64474990 103159984 120152458 128949980 240304916 257899960 300381145 480609832 515799920 600762290 961219664 1201524580 2403049160 4806098320 6428156503 12856313006 25712626012 32140782515 51425252024 64281565030 102850504048 128563130060 257126260120 514252520240