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5153141000 = 23537857859
BaseRepresentation
bin1001100110010011…
…01011000100001000
3111022010112200112002
410303021223010020
541023201003000
62211201410132
7241461655460
oct46311530410
914263480462
105153141000
1122048a5117
12bb9939948
136417ba377
1436c566ba0
152026068d5
hex13326b108

5153141000 has 128 divisors (see below), whose sum is σ = 13813113600. Its totient is φ = 1762675200.

The previous prime is 5153140999. The next prime is 5153141033. The reversal of 5153141000 is 1413515.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5998571 + ... + 5999429.

It is an arithmetic number, because the mean of its divisors is an integer number (107914950).

Almost surely, 25153141000 is an apocalyptic number.

5153141000 is a gapful number since it is divisible by the number (50) 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 5153141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906556800).

5153141000 is an abundant number, since it is smaller than the sum of its proper divisors (8659972600).

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

5153141000 is a wasteful number, since it uses less digits than its factorization.

5153141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 5153141000 is about 71785.3815201953. The cubic root of 5153141000 is about 1727.2585133557.

Adding to 5153141000 its reverse (1413515), we get a palindrome (5154554515).

The spelling of 5153141000 in words is "five billion, one hundred fifty-three million, one hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 857 859 875 1000 1400 1714 1718 1750 3428 3436 3500 4285 4295 5999 6013 6856 6872 7000 8570 8590 11998 12026 17140 17180 21425 21475 23996 24052 29995 30065 34280 34360 42850 42950 47992 48104 59990 60130 85700 85900 107125 107375 119980 120260 149975 150325 171400 171800 214250 214750 239960 240520 299950 300650 428500 429500 599900 601300 736163 749875 751625 857000 859000 1199800 1202600 1472326 1499750 1503250 2944652 2999500 3006500 3680815 5153141 5889304 5999000 6013000 7361630 10306282 14723260 18404075 20612564 25765705 29446520 36808150 41225128 51531410 73616300 92020375 103062820 128828525 147232600 184040750 206125640 257657050 368081500 515314100 644142625 736163000 1030628200 1288285250 2576570500 5153141000