Search a number
-
+
4401405000 = 23335432603
BaseRepresentation
bin1000001100101100…
…00001110001001000
3102100202000112121000
410012112001301020
533003224430000
62004425215000
7214033216356
oct40626016110
912322015530
104401405000
1119595297a3
12a2a031460
13551b35675
142da7a27d6
151ab615000
hex106581c48

4401405000 has 160 divisors (see below), whose sum is σ = 15278234400. Its totient is φ = 1173672000.

The previous prime is 4401404999. The next prime is 4401405059. The reversal of 4401405000 is 5041044.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 118699 + ... + 151301.

It is an arithmetic number, because the mean of its divisors is an integer number (95488965).

Almost surely, 24401405000 is an apocalyptic number.

4401405000 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 4401405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639117200).

4401405000 is an abundant number, since it is smaller than the sum of its proper divisors (10876829400).

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

4401405000 is a wasteful number, since it uses less digits than its factorization.

4401405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32638 (or 32613 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4401405000 is about 66343.0855477796. The cubic root of 4401405000 is about 1638.8169387588.

Adding to 4401405000 its reverse (5041044), we get a palindrome (4406446044).

The spelling of 4401405000 in words is "four billion, four hundred one million, four hundred five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3375 3750 4500 5000 5400 5625 6750 7500 9000 11250 13500 15000 16875 22500 27000 32603 33750 45000 65206 67500 97809 130412 135000 163015 195618 260824 293427 326030 391236 489045 586854 652060 782472 815075 880281 978090 1173708 1304120 1467135 1630150 1760562 1956180 2347416 2445225 2934270 3260300 3521124 3912360 4075375 4401405 4890450 5868540 6520600 7042248 7335675 8150750 8802810 9780900 11737080 12226125 14671350 16301500 17605620 19561800 20376875 22007025 24452250 29342700 32603000 35211240 36678375 40753750 44014050 48904500 58685400 61130625 73356750 81507500 88028100 97809000 110035125 122261250 146713500 163015000 176056200 183391875 220070250 244522500 293427000 366783750 440140500 489045000 550175625 733567500 880281000 1100351250 1467135000 2200702500 4401405000