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424031141000 = 23536752312101
BaseRepresentation
bin1100010101110100011…
…10011011110010001000
31111112111110101211010002
412022322032123302020
523421403433003000
6522444110542132
742430613141405
oct6127216336210
91445443354102
10424031141000
11153915585305
126a21b207948
1330ca821babc
14167479c72ac
15b06b4db8d5
hex62ba39bc88

424031141000 has 128 divisors (see below), whose sum is σ = 1009051205760. Its totient is φ = 166747680000.

The previous prime is 424031140997. The next prime is 424031141021. The reversal of 424031141000 is 141130424.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35034950 + ... + 35047050.

It is an arithmetic number, because the mean of its divisors is an integer number (7883212545).

Almost surely, 2424031141000 is an apocalyptic number.

424031141000 is a gapful number since it is divisible by the number (40) 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 424031141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504525602880).

424031141000 is an abundant number, since it is smaller than the sum of its proper divisors (585020064760).

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

424031141000 is a wasteful number, since it uses less digits than its factorization.

424031141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 424031141000 its reverse (141130424), we get a palindrome (424172271424).

The spelling of 424031141000 in words is "four hundred twenty-four billion, thirty-one million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 523 536 670 1000 1046 1340 1675 2092 2615 2680 3350 4184 5230 6700 8375 10460 12101 13075 13400 16750 20920 24202 26150 33500 35041 48404 52300 60505 65375 67000 70082 96808 104600 121010 130750 140164 175205 242020 261500 280328 302525 350410 484040 523000 605050 700820 810767 876025 1210100 1401640 1512625 1621534 1752050 2420200 3025250 3243068 3504100 4053835 4380125 6050500 6328823 6486136 7008200 8107670 8760250 12101000 12657646 16215340 17520500 20269175 25315292 31644115 32430680 35041000 40538350 50630584 63288230 81076700 101345875 126576460 158220575 162153400 202691750 253152920 316441150 405383500 424031141 632882300 791102875 810767000 848062282 1265764600 1582205750 1696124564 2120155705 3164411500 3392249128 4240311410 6328823000 8480622820 10600778525 16961245640 21201557050 42403114100 53003892625 84806228200 106007785250 212015570500 424031141000