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4401341000 = 235375910657
BaseRepresentation
bin1000001100101011…
…10010001001001000
3102100201220021210122
410012111302021020
533003220403000
62004424002412
7214032531650
oct40625621110
912321807718
104401341000
111959495701
12a2a000408
13551b124b4
142da787360
151ab601085
hex106572248

4401341000 has 128 divisors (see below), whose sum is σ = 11971065600. Its totient is φ = 1483315200.

The previous prime is 4401340997. The next prime is 4401341027. The reversal of 4401341000 is 1431044.

It is a self number, because there is not a number n which added to its sum of digits gives 4401341000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407672 + ... + 418328.

It is an arithmetic number, because the mean of its divisors is an integer number (93523950).

Almost surely, 24401341000 is an apocalyptic number.

4401341000 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 4401341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985532800).

4401341000 is an abundant number, since it is smaller than the sum of its proper divisors (7569724600).

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

4401341000 is a wasteful number, since it uses less digits than its factorization.

4401341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4401341000 is about 66342.6032048788. The cubic root of 4401341000 is about 1638.8089954776.

Adding to 4401341000 its reverse (1431044), we get a palindrome (4402772044).

The spelling of 4401341000 in words is "four billion, four hundred one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 125 140 175 200 236 250 280 295 350 413 472 500 590 700 826 875 1000 1180 1400 1475 1652 1750 2065 2360 2950 3304 3500 4130 5900 7000 7375 8260 10325 10657 11800 14750 16520 20650 21314 29500 41300 42628 51625 53285 59000 74599 82600 85256 103250 106570 149198 206500 213140 266425 298396 372995 413000 426280 532850 596792 628763 745990 1065700 1257526 1332125 1491980 1864975 2131400 2515052 2664250 2983960 3143815 3729950 4401341 5030104 5328500 6287630 7459900 8802682 9324875 10657000 12575260 14919800 15719075 17605364 18649750 22006705 25150520 31438150 35210728 37299500 44013410 62876300 74599000 78595375 88026820 110033525 125752600 157190750 176053640 220067050 314381500 440134100 550167625 628763000 880268200 1100335250 2200670500 4401341000