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314708287503488 = 27312505812
BaseRepresentation
bin100011110001110011011101…
…1101011110011110010000000
31112021021211002122202201220012
41013203212323223303302000
5312222140033100102423
63033154554050404052
7123200631512446004
oct10743467353636200
91467254078681805
10314708287503488
119130404295a83a
122b3686a8890628
131067ab3077c8c8
14579dd68b12704
15265b4411a1078
hex11e39bbaf3c80

314708287503488 has 72 divisors (see below), whose sum is σ = 647847575129745. Its totient is φ = 152275193049600.

The previous prime is 314708287503487. The next prime is 314708287503503. The reversal of 314708287503488 is 884305782807413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 303517442749504 + 11190844753984 = 17421752^2 + 3345272^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12544088.

It is a super-2 number, since 2×3147082875034882 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314708287503487) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6221842358 + ... + 6221892938.

Almost surely, 2314708287503488 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 314708287503488

314708287503488 is an abundant number, since it is smaller than the sum of its proper divisors (333139287626257).

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

314708287503488 is an frugal number, since it uses more digits than its factorization.

314708287503488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101238 (or 50614 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 68.

The spelling of 314708287503488 in words is "three hundred fourteen trillion, seven hundred eight billion, two hundred eighty-seven million, five hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1922 1984 3844 3968 7688 15376 30752 50581 61504 101162 123008 202324 404648 809296 1568011 1618592 3136022 3237184 6272044 6474368 12544088 25088176 48608341 50176352 97216682 100352704 194433364 200705408 388866728 777733456 1555466912 2558437561 3110933824 5116875122 6221867648 10233750244 20467500488 40935000976 79311564391 81870001952 158623128782 163740003904 317246257564 327480007808 634492515128 1268985030256 2458658496121 2537970060512 4917316992242 5075940121024 9834633984484 10151880242048 19669267968968 39338535937936 78677071875872 157354143751744 314708287503488