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4401423120 = 243525771359
BaseRepresentation
bin1000001100101100…
…00110001100010000
3102100202001110110010
410012112012030100
533003231014440
62004425434520
7214033323243
oct40626061420
912322043403
104401423120
111959541376
12a2a03ba40
13551b409a3
142da7a925a
151ab61a580
hex106586310

4401423120 has 80 divisors (see below), whose sum is σ = 13697694720. Its totient is φ = 1169129472.

The previous prime is 4401423101. The next prime is 4401423127. The reversal of 4401423120 is 213241044.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4401423127) by changing a digit.

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, 26001 + ... + 97359.

It is an arithmetic number, because the mean of its divisors is an integer number (171221184).

Almost surely, 24401423120 is an apocalyptic number.

4401423120 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 4401423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848847360).

4401423120 is an abundant number, since it is smaller than the sum of its proper divisors (9296271600).

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

4401423120 is a wasteful number, since it uses less digits than its factorization.

4401423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71632 (or 71626 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4401423120 is about 66343.2221104764. Note that the first 3 decimals coincide. The cubic root of 4401423120 is about 1638.8191876863.

Adding to 4401423120 its reverse (213241044), we get a palindrome (4614664164).

The spelling of 4401423120 in words is "four billion, four hundred one million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 10280 12336 15420 20560 30840 61680 71359 142718 214077 285436 356795 428154 570872 713590 856308 1070385 1141744 1427180 1712616 2140770 2854360 3425232 4281540 5708720 8563080 17126160 18339263 36678526 55017789 73357052 91696315 110035578 146714104 183392630 220071156 275088945 293428208 366785260 440142312 550177890 733570520 880284624 1100355780 1467141040 2200711560 4401423120