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14541141000 = 233538275861
BaseRepresentation
bin11011000101011100…
…00011010000001000
31101112101201111110210
431202232003100020
5214240013003000
610402523041120
71023225442041
oct154256032010
941471644423
1014541141000
116192105501
1229999701a0
1314a9769c59
149bd2db8c8
155a18c6350
hex362b83408

14541141000 has 128 divisors (see below), whose sum is σ = 45430968960. Its totient is φ = 3872288000.

The previous prime is 14541140921. The next prime is 14541141001. The reversal of 14541141000 is 14114541.

It is a super-2 number, since 2×145411410002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14541141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2478070 + ... + 2483930.

It is an arithmetic number, because the mean of its divisors is an integer number (354929445).

Almost surely, 214541141000 is an apocalyptic number.

14541141000 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 14541141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715484480).

14541141000 is an abundant number, since it is smaller than the sum of its proper divisors (30889827960).

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

14541141000 is a wasteful number, since it uses less digits than its factorization.

14541141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 14541141000 its reverse (14114541), we get a palindrome (14555255541).

The spelling of 14541141000 in words is "fourteen billion, five hundred forty-one million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 827 1000 1500 1654 2481 3000 3308 4135 4962 5861 6616 8270 9924 11722 12405 16540 17583 19848 20675 23444 24810 29305 33080 35166 41350 46888 49620 58610 62025 70332 82700 87915 99240 103375 117220 124050 140664 146525 165400 175830 206750 234440 248100 293050 310125 351660 413500 439575 496200 586100 620250 703320 732625 827000 879150 1172200 1240500 1465250 1758300 2197875 2481000 2930500 3516600 4395750 4847047 5861000 8791500 9694094 14541141 17583000 19388188 24235235 29082282 38776376 48470470 58164564 72705705 96940940 116329128 121176175 145411410 193881880 242352350 290822820 363528525 484704700 581645640 605880875 727057050 969409400 1211761750 1454114100 1817642625 2423523500 2908228200 3635285250 4847047000 7270570500 14541141000