Search a number
-
+
2440064000040 = 233547432635461
BaseRepresentation
bin100011100000011111001…
…001011110000000101000
322122021020020220022000020
4203200133021132000220
5304434222341000130
65104541103440440
7341201026533642
oct43403711360050
98567206808006
102440064000040
11860909574417
12334a985b6120
131491352a27c4
148615791d892
1543711d00e10
hex2381f25e028

2440064000040 has 64 divisors (see below), whose sum is σ = 7475940783360. Its totient is φ = 636839397120.

The previous prime is 2440064000021. The next prime is 2440064000081. The reversal of 2440064000040 is 400004600442.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216312091 + ... + 216323370.

It is an arithmetic number, because the mean of its divisors is an integer number (116811574740).

Almost surely, 22440064000040 is an apocalyptic number.

2440064000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440064000040 is an abundant number, since it is smaller than the sum of its proper divisors (5035876783320).

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

2440064000040 is a wasteful number, since it uses less digits than its factorization.

2440064000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432635522 (or 432635518 counting only the distinct ones).

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

Adding to 2440064000040 its reverse (400004600442), we get a palindrome (2840068600482).

The spelling of 2440064000040 in words is "two trillion, four hundred forty billion, sixty-four million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 432635461 865270922 1297906383 1730541844 2163177305 2595812766 3461083688 4326354610 5191625532 6489531915 8652709220 10383251064 12979063830 17305418440 20333866667 25958127660 40667733334 51916255320 61001600001 81335466668 101669333335 122003200002 162670933336 203338666670 244006400004 305008000005 406677333340 488012800008 610016000010 813354666680 1220032000020 2440064000040