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4120423440 = 243572452633
BaseRepresentation
bin1111010110011000…
…1010110000010000
3101122011022012100120
43311212022300100
531414312022230
61520510550240
7204052010220
oct36546126020
911564265316
104120423440
111824965131
1296bb08380
135088662a3
142b1340080
15191b11310
hexf598ac10

4120423440 has 80 divisors (see below), whose sum is σ = 14598077568. Its totient is φ = 941810688.

The previous prime is 4120423427. The next prime is 4120423441. The reversal of 4120423440 is 443240214.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4120423440.

It is not an unprimeable number, because it can be changed into a prime (4120423441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224637 + ... + 1227996.

Almost surely, 24120423440 is an apocalyptic number.

4120423440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120423440 is an abundant number, since it is smaller than the sum of its proper divisors (10477654128).

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

4120423440 is a wasteful number, since it uses less digits than its factorization.

4120423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452656 (or 2452650 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4120423440 is about 64190.5245343890. The cubic root of 4120423440 is about 1603.1738354840.

Adding to 4120423440 its reverse (443240214), we get a palindrome (4563663654).

The spelling of 4120423440 in words is "four billion, one hundred twenty million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2452633 4905266 7357899 9810532 12263165 14715798 17168431 19621064 24526330 29431596 34336862 36789495 39242128 49052660 51505293 58863192 68673724 73578990 85842155 98105320 103010586 117726384 137347448 147157980 171684310 196210640 206021172 257526465 274694896 294315960 343368620 412042344 515052930 588631920 686737240 824084688 1030105860 1373474480 2060211720 4120423440