Search a number
-
+
244140625000000 = 26518
BaseRepresentation
bin110111100000101101101011…
…001110100111011001000000
31012000102121121220222221101101
4313200231223032213121000
5224000000000000000000
62223124353233344144
7102265402165225261
oct6740555316473100
91160377556887341
10244140625000000
1170877504096953
1223470109408054
13a62c492853b31
14444067da80968
151d359d0792e6a
hexde0b6b3a7640

244140625000000 has 133 divisors (see below), whose sum is σ = 605583190917937. Its totient is φ = 97656250000000.

The previous prime is 244140624999989. The next prime is 244140625000003. The reversal of 244140625000000 is 526041442.

The square root of 244140625000000 is 15625000.

The cubic root of 244140625000000 is 62500.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

244140625000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 54414463611456 + 189726161388544 = 7376616^2 + 13774112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (244140625000003) by changing a digit.

It is a polite number, since it can be written in 18 ways as a sum of consecutive naturals, for example, 48828124999998 + ... + 48828125000002.

Almost surely, 2244140625000000 is an apocalyptic number.

244140625000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

244140625000000 is the 15625000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244140625000000

244140625000000 is an abundant number, since it is smaller than the sum of its proper divisors (361442565917937).

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

244140625000000 is an frugal number, since it uses more digits than its factorization.

244140625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 244140625000000 in words is "two hundred forty-four trillion, one hundred forty billion, six hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 78125 100000 125000 156250 200000 250000 312500 390625 500000 625000 781250 1000000 1250000 1562500 1953125 2500000 3125000 3906250 5000000 6250000 7812500 9765625 12500000 15625000 19531250 25000000 31250000 39062500 48828125 62500000 78125000 97656250 125000000 156250000 195312500 244140625 312500000 390625000 488281250 625000000 781250000 976562500 1220703125 1562500000 1953125000 2441406250 3125000000 3906250000 4882812500 6103515625 7812500000 9765625000 12207031250 15625000000 19531250000 24414062500 30517578125 39062500000 48828125000 61035156250 78125000000 97656250000 122070312500 152587890625 195312500000 244140625000 305175781250 390625000000 488281250000 610351562500 762939453125 976562500000 1220703125000 1525878906250 1953125000000 2441406250000 3051757812500 3814697265625 4882812500000 6103515625000 7629394531250 9765625000000 12207031250000 15258789062500 24414062500000 30517578125000 48828125000000 61035156250000 122070312500000 244140625000000