Search a number
-
+
714195506240 = 2659001247957
BaseRepresentation
bin10100110010010010101…
…11101001010001000000
32112021110111211211110022
422121021113221101000
543200133022144430
61304032532153012
7102412300432046
oct12311127512100
92467414754408
10714195506240
11255985820637
12b64ba768768
135246b41b888
14267d2750396
15138a04584e5
hexa6495e9440

714195506240 has 56 divisors (see below), whose sum is σ = 1700873851992. Its totient is φ = 285645312000.

The previous prime is 714195506237. The next prime is 714195506263. The reversal of 714195506240 is 42605591417.

It can be written as a sum of positive squares in 4 ways, for example, as 83835727936 + 630359778304 = 289544^2 + 793952^2 .

It is a super-3 number, since 3×7141955062403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 714195506191 and 714195506200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2756342 + ... + 3004298.

It is an arithmetic number, because the mean of its divisors is an integer number (30372747357).

Almost surely, 2714195506240 is an apocalyptic number.

It is an amenable number.

714195506240 is an abundant number, since it is smaller than the sum of its proper divisors (986678345752).

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

714195506240 is a wasteful number, since it uses less digits than its factorization.

714195506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256975 (or 256965 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 714195506240 in words is "seven hundred fourteen billion, one hundred ninety-five million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 9001 18002 36004 45005 72008 90010 144016 180020 247957 288032 360040 495914 576064 720080 991828 1239785 1440160 1983656 2479570 2880320 3967312 4959140 7934624 9918280 15869248 19836560 39673120 79346240 2231860957 4463721914 8927443828 11159304785 17854887656 22318609570 35709775312 44637219140 71419550624 89274438280 142839101248 178548876560 357097753120 714195506240