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14125133000 = 2353111578179
BaseRepresentation
bin11010010011110110…
…00110110011001000
31100110101221002210002
431021323012303020
5212412013224000
610253342342132
71010014435526
oct151173066310
940411832702
1014125133000
115a992a6540
1228a258a948
131441512284
1497dd6b316
1557a0ee8d5
hex349ec6cc8

14125133000 has 128 divisors (see below), whose sum is σ = 36291715200. Its totient is φ = 5103072000.

The previous prime is 14125132997. The next prime is 14125133039. The reversal of 14125133000 is 33152141.

14125133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722911 + ... + 1731089.

It is an arithmetic number, because the mean of its divisors is an integer number (283529025).

Almost surely, 214125133000 is an apocalyptic number.

14125133000 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 14125133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18145857600).

14125133000 is an abundant number, since it is smaller than the sum of its proper divisors (22166582200).

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

14125133000 is a wasteful number, since it uses less digits than its factorization.

14125133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 14125133000 its reverse (33152141), we get a palindrome (14158285141).

The spelling of 14125133000 in words is "fourteen billion, one hundred twenty-five million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 157 200 220 250 275 314 440 500 550 628 785 1000 1100 1256 1375 1570 1727 2200 2750 3140 3454 3925 5500 6280 6908 7850 8179 8635 11000 13816 15700 16358 17270 19625 31400 32716 34540 39250 40895 43175 65432 69080 78500 81790 86350 89969 157000 163580 172700 179938 204475 215875 327160 345400 359876 408950 431750 449845 719752 817900 863500 899690 1022375 1284103 1635800 1727000 1799380 2044750 2249225 2568206 3598760 4089500 4498450 5136412 6420515 8179000 8996900 10272824 11246125 12841030 14125133 17993800 22492250 25682060 28250266 32102575 44984500 51364120 56500532 64205150 70625665 89969000 113001064 128410300 141251330 160512875 256820600 282502660 321025750 353128325 565005320 642051500 706256650 1284103000 1412513300 1765641625 2825026600 3531283250 7062566500 14125133000