Search a number
-
+
1144262268205 = 5782139821203
BaseRepresentation
bin10000101001101011010…
…110001001010100101101
311001101112121022222000121
4100221223112021110231
5122221422120040310
62233400011324541
7145445612541160
oct20515326112455
94041477288017
101144262268205
11401308246241
12165923150751
1383b98bc8a14
143d54db79ad7
151eb717670da
hex10a6b58952d

1144262268205 has 16 divisors (see below), whose sum is σ = 1571185425024. Its totient is φ = 783681255360.

The previous prime is 1144262268181. The next prime is 1144262268217. The reversal of 1144262268205 is 5028622624411.

It is not a de Polignac number, because 1144262268205 - 213 = 1144262260013 is a prime.

It is a super-4 number, since 4×11442622682054 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19881867 + ... + 19939336.

It is an arithmetic number, because the mean of its divisors is an integer number (98199089064).

Almost surely, 21144262268205 is an apocalyptic number.

It is an amenable number.

1144262268205 is a deficient number, since it is larger than the sum of its proper divisors (426923156819).

1144262268205 is an equidigital number, since it uses as much as digits as its factorization.

1144262268205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39822036.

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 1144262268205 in words is "one trillion, one hundred forty-four billion, two hundred sixty-two million, two hundred sixty-eight thousand, two hundred five".

Divisors: 1 5 7 35 821 4105 5747 28735 39821203 199106015 278748421 1393742105 32693207663 163466038315 228852453641 1144262268205