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14058250000 = 2456531061
BaseRepresentation
bin11010001011110111…
…11101111100010000
31100021202002002112221
431011323331330100
5212242403000000
610242553030424
71005243103414
oct150573757420
940252062487
1014058250000
115a64574333
1228840b5414
1314306c5432
1497511ad44
155742dc61a
hex345efdf10

14058250000 has 140 divisors (see below), whose sum is σ = 34721977428. Its totient is φ = 5512000000.

The previous prime is 14058249983. The next prime is 14058250001. The reversal of 14058250000 is 5285041.

It can be written as a sum of positive squares in 14 ways, for example, as 13323623184 + 734626816 = 115428^2 + 27104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14058250001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13249470 + ... + 13250530.

Almost surely, 214058250000 is an apocalyptic number.

14058250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14058250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360988714).

14058250000 is an abundant number, since it is smaller than the sum of its proper divisors (20663727428).

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

14058250000 is an frugal number, since it uses more digits than its factorization.

14058250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 14058250000 in words is "fourteen billion, fifty-eight million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1061 1250 1325 2000 2120 2122 2500 2650 3125 4240 4244 5000 5300 5305 6250 6625 8488 10000 10600 10610 12500 13250 15625 16976 21200 21220 25000 26500 26525 31250 33125 42440 50000 53000 53050 56233 62500 66250 84880 106000 106100 112466 125000 132500 132625 165625 212200 224932 250000 265000 265250 281165 331250 424400 449864 530000 530500 562330 662500 663125 828125 899728 1061000 1124660 1325000 1326250 1405825 1656250 2122000 2249320 2650000 2652500 2811650 3312500 3315625 4498640 5305000 5623300 6625000 6631250 7029125 10610000 11246600 13250000 13262500 14058250 16578125 22493200 26525000 28116500 33156250 35145625 53050000 56233000 66312500 70291250 112466000 132625000 140582500 175728125 265250000 281165000 351456250 562330000 702912500 878640625 1405825000 1757281250 2811650000 3514562500 7029125000 14058250000