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4314021000 = 233535924373
BaseRepresentation
bin1000000010010001…
…01011110010001000
3102010122120222021120
410001020223302020
532313342133000
61552024235240
7211622400462
oct40110536210
912118528246
104314021000
111914174913
12a0490bb20
135399bb363
142ccd37132
151a3b036a0
hex10122bc88

4314021000 has 128 divisors (see below), whose sum is σ = 13688438400. Its totient is φ = 1130860800.

The previous prime is 4314020999. The next prime is 4314021011. The reversal of 4314021000 is 1204134.

It is a super-2 number, since 2×43140210002 = 37221554376882000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164814 + ... + 189186.

It is an arithmetic number, because the mean of its divisors is an integer number (106940925).

Almost surely, 24314021000 is an apocalyptic number.

4314021000 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 4314021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844219200).

4314021000 is an abundant number, since it is smaller than the sum of its proper divisors (9374417400).

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

4314021000 is a wasteful number, since it uses less digits than its factorization.

4314021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24456 (or 24442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4314021000 is about 65681.2073579650. The cubic root of 4314021000 is about 1627.8988571767.

Adding to 4314021000 its reverse (1204134), we get a palindrome (4315225134).

The spelling of 4314021000 in words is "four billion, three hundred fourteen million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 295 300 354 375 472 500 590 600 708 750 885 1000 1180 1416 1475 1500 1770 2360 2950 3000 3540 4425 5900 7080 7375 8850 11800 14750 17700 22125 24373 29500 35400 44250 48746 59000 73119 88500 97492 121865 146238 177000 194984 243730 292476 365595 487460 584952 609325 731190 974920 1218650 1438007 1462380 1827975 2437300 2876014 2924760 3046625 3655950 4314021 4874600 5752028 6093250 7190035 7311900 8628042 9139875 11504056 12186500 14380070 14623800 17256084 18279750 21570105 24373000 28760140 34512168 35950175 36559500 43140210 57520280 71900350 73119000 86280420 107850525 143800700 172560840 179750875 215701050 287601400 359501750 431402100 539252625 719003500 862804200 1078505250 1438007000 2157010500 4314021000