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1144244112240 = 24357365310737
BaseRepresentation
bin10000101001101010010…
…000111000101101110000
311001101111100011112201110
4100221222100320231300
5122221402443042430
62233354122233320
7145445302322265
oct20515220705560
94041440145643
101144244112240
114012a8a75409
12165919055840
1383b9520ca48
143d54b5b126c
151eb6ed7c7b0
hex10a6a438b70

1144244112240 has 80 divisors (see below), whose sum is σ = 3595747991328. Its totient is φ = 300951871488.

The previous prime is 1144244112229. The next prime is 1144244112241. The reversal of 1144244112240 is 422114424411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1144244112198 and 1144244112207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144244112241) by changing a digit.

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, 32637849 + ... + 32672888.

Almost surely, 21144244112240 is an apocalyptic number.

1144244112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144244112240 is an abundant number, since it is smaller than the sum of its proper divisors (2451503879088).

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

1144244112240 is a wasteful number, since it uses less digits than its factorization.

1144244112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65310826 (or 65310820 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 1144244112240 its reverse (422114424411), we get a palindrome (1566358536651).

The spelling of 1144244112240 in words is "one trillion, one hundred forty-four billion, two hundred forty-four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 65310737 130621474 195932211 261242948 326553685 391864422 522485896 653107370 783728844 979661055 1044971792 1306214740 1567457688 1959322110 2612429480 3134915376 3918644220 4767683801 5224858960 7837288440 9535367602 14303051403 15674576880 19070735204 23838419005 28606102806 38141470408 47676838010 57212205612 71515257015 76282940816 95353676020 114424411224 143030514030 190707352040 228848822448 286061028060 381414704080 572122056120 1144244112240