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4400420040 = 233354074463
BaseRepresentation
bin1000001100100100…
…10001010011001000
3102100200011111111000
410012102101103020
533003001420130
62004352135000
7214021644642
oct40622212310
912320144430
104400420040
111958a16785
12a29837460
1355187c253
142da5c7892
151ab4bd260
hex1064914c8

4400420040 has 64 divisors (see below), whose sum is σ = 14668070400. Its totient is φ = 1173445056.

The previous prime is 4400420033. The next prime is 4400420051. The reversal of 4400420040 is 400240044.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4400419995 and 4400420022.

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 15 ways as a sum of consecutive naturals, for example, 2036152 + ... + 2038311.

It is an arithmetic number, because the mean of its divisors is an integer number (229188600).

Almost surely, 24400420040 is an apocalyptic number.

4400420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400420040 is an abundant number, since it is smaller than the sum of its proper divisors (10267650360).

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

4400420040 is a wasteful number, since it uses less digits than its factorization.

4400420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074483 (or 4074473 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4400420040 is about 66335.6619021775. The cubic root of 4400420040 is about 1638.6946831340.

Adding to 4400420040 its reverse (400240044), we get a palindrome (4800660084).

The spelling of 4400420040 in words is "four billion, four hundred million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 4074463 8148926 12223389 16297852 20372315 24446778 32595704 36670167 40744630 48893556 61116945 73340334 81489260 97787112 110010501 122233890 146680668 162978520 183350835 220021002 244467780 293361336 366701670 440042004 488935560 550052505 733403340 880084008 1100105010 1466806680 2200210020 4400420040