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1144244163104 = 25721597456949
BaseRepresentation
bin10000101001101010010…
…001000101001000100000
311001101111100021010111022
4100221222101011020200
5122221403001204404
62233354123305012
7145445302623500
oct20515221051040
94041440233438
101144244163104
114012a8aaa649
1216591907b168
1383b95229c43
143d54b5c5a00
151eb6ed8c8be
hex10a6a445220

1144244163104 has 72 divisors (see below), whose sum is σ = 2622170105100. Its totient is φ = 490082213376.

The previous prime is 1144244163079. The next prime is 1144244163113. The reversal of 1144244163104 is 4013614424411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 980202962704 + 164041200400 = 990052^2 + 405020^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2275622 + ... + 2732570.

Almost surely, 21144244163104 is an apocalyptic number.

1144244163104 is a gapful number since it is divisible by the number (14) 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 1144244163104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311085052550).

1144244163104 is an abundant number, since it is smaller than the sum of its proper divisors (1477925941996).

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

1144244163104 is a wasteful number, since it uses less digits than its factorization.

1144244163104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458570 (or 458555 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 1144244163104 its reverse (4013614424411), we get a palindrome (5157858587515).

The spelling of 1144244163104 in words is "one trillion, one hundred forty-four billion, two hundred forty-four million, one hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1597 3194 6388 11179 12776 22358 25552 44716 51104 78253 89432 156506 178864 313012 357728 456949 626024 913898 1252048 1827796 2504096 3198643 3655592 6397286 7311184 12794572 14622368 22390501 25589144 44781002 51178288 89562004 102356576 179124008 358248016 716496032 729747553 1459495106 2918990212 5108232871 5837980424 10216465742 11675960848 20432931484 23351921696 35757630097 40865862968 71515260194 81731725936 143030520388 163463451872 286061040776 572122081552 1144244163104