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4514240000 = 295414107
BaseRepresentation
bin1000011010001000…
…11101011000000000
3102122121100011010002
410031010131120000
533221121140000
62023535455132
7216603256364
oct41504353000
912577304102
104514240000
111a07197366
12a5b9874a8
1356c32123a
1430b7752a4
151b64a28d5
hex10d11d600

4514240000 has 100 divisors (see below), whose sum is σ = 11271770004. Its totient is φ = 1805568000.

The previous prime is 4514239981. The next prime is 4514240023. The reversal of 4514240000 is 424154.

It is a tau number, because it is divible by the number of its divisors (100).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 312947 + ... + 327053.

Almost surely, 24514240000 is an apocalyptic number.

4514240000 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 4514240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635885002).

4514240000 is an abundant number, since it is smaller than the sum of its proper divisors (6757530004).

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

4514240000 is an frugal number, since it uses more digits than its factorization.

4514240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14145 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4514240000 is about 67188.0941834191. The cubic root of 4514240000 is about 1652.7032516409.

Adding to 4514240000 its reverse (424154), we get a palindrome (4514664154).

The spelling of 4514240000 in words is "four billion, five hundred fourteen million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 14107 16000 20000 28214 32000 40000 56428 64000 70535 80000 112856 141070 160000 225712 282140 320000 352675 451424 564280 705350 902848 1128560 1410700 1763375 1805696 2257120 2821400 3526750 3611392 4514240 5642800 7053500 7222784 8816875 9028480 11285600 14107000 17633750 18056960 22571200 28214000 35267500 36113920 45142400 56428000 70535000 90284800 112856000 141070000 180569600 225712000 282140000 451424000 564280000 902848000 1128560000 2257120000 4514240000