Search a number
-
+
259027071440 = 24519170412547
BaseRepresentation
bin1111000100111100110…
…1110111000111010000
3220202121001010121011112
43301033031313013100
513220441412241230
6314555001032452
724466634531204
oct3611715670720
9822531117145
10259027071440
119a942035675
124224b785728
131b57032a197
14c773672b04
156b10591d95
hex3c4f3771d0

259027071440 has 40 divisors (see below), whose sum is σ = 633934678560. Its totient is φ = 98157626496.

The previous prime is 259027071439. The next prime is 259027071461. The reversal of 259027071440 is 44170720952.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 85204754 + ... + 85207793.

It is an arithmetic number, because the mean of its divisors is an integer number (15848366964).

Almost surely, 2259027071440 is an apocalyptic number.

259027071440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259027071440 is an abundant number, since it is smaller than the sum of its proper divisors (374907607120).

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

259027071440 is a wasteful number, since it uses less digits than its factorization.

259027071440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170412579 (or 170412573 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 259027071440 in words is "two hundred fifty-nine billion, twenty-seven million, seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 170412547 340825094 681650188 852062735 1363300376 1704125470 2726600752 3237838393 3408250940 6475676786 6816501880 12951353572 13633003760 16189191965 25902707144 32378383930 51805414288 64756767860 129513535720 259027071440