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248808397314 = 23194356989203
BaseRepresentation
bin1110011110111000100…
…0101101101000000010
3212210012212220011112110
43213232020231220002
513034024422203224
6310145003240150
723655463324311
oct3475610555002
9783185804473
10248808397314
1196578943544
1240279519056
131a602247949
14c08446a278
1567133db929
hex39ee22da02

248808397314 has 64 divisors (see below), whose sum is σ = 536936716800. Its totient is φ = 76608104832.

The previous prime is 248808397301. The next prime is 248808397319. The reversal of 248808397314 is 413793808842.

It is a super-2 number, since 2×2488083973142 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (248808397319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2744637 + ... + 2833839.

It is an arithmetic number, because the mean of its divisors is an integer number (8389636200).

Almost surely, 2248808397314 is an apocalyptic number.

248808397314 is an abundant number, since it is smaller than the sum of its proper divisors (288128319486).

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

248808397314 is a wasteful number, since it uses less digits than its factorization.

248808397314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89839.

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 248808397314 in words is "two hundred forty-eight billion, eight hundred eight million, three hundred ninety-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 38 43 57 86 114 129 258 569 817 1138 1634 1707 2451 3414 4902 10811 21622 24467 32433 48934 64866 73401 89203 146802 178406 267609 464873 535218 929746 1394619 1694857 2789238 3389714 3835729 5084571 7671458 10169142 11507187 23014374 50756507 72878851 101513014 145757702 152269521 218636553 304539042 437273106 964373633 1928747266 2182529801 2893120899 4365059602 5786241798 6547589403 13095178806 41468066219 82936132438 124404198657 248808397314