Search a number
-
+
1144244132340 = 223571751357659
BaseRepresentation
bin10000101001101010010…
…000111101100111110100
311001101111100012120021220
4100221222100331213310
5122221402444213330
62233354122510340
7145445302435011
oct20515220754764
94041440176256
101144244132340
114012a8a89521
121659190653b0
1383b95218c3a
143d54b5b8708
151eb6ed83710
hex10a6a43d9f4

1144244132340 has 96 divisors (see below), whose sum is σ = 3253344030720. Its totient is φ = 300432720000.

The previous prime is 1144244132327. The next prime is 1144244132371. The reversal of 1144244132340 is 432314424411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3020431 + ... + 3378089.

It is an arithmetic number, because the mean of its divisors is an integer number (33889000320).

Almost surely, 21144244132340 is an apocalyptic number.

1144244132340 is a gapful number since it is divisible by the number (10) 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 1144244132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626672015360).

1144244132340 is an abundant number, since it is smaller than the sum of its proper divisors (2109099898380).

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

1144244132340 is a wasteful number, since it uses less digits than its factorization.

1144244132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358493 (or 358491 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1144244132340 its reverse (432314424411), we get a palindrome (1576558556751).

The spelling of 1144244132340 in words is "one trillion, one hundred forty-four billion, two hundred forty-four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 751 852 1065 1420 1502 2130 2253 3004 3755 4260 4506 7510 9012 11265 15020 22530 45060 53321 106642 159963 213284 266605 319926 357659 533210 639852 715318 799815 1066420 1072977 1430636 1599630 1788295 2145954 3199260 3576590 4291908 5364885 7153180 10729770 21459540 25393789 50787578 76181367 101575156 126968945 152362734 253937890 268601909 304725468 380906835 507875780 537203818 761813670 805805727 1074407636 1343009545 1523627340 1611611454 2686019090 3223222908 4029028635 5372038180 8058057270 16116114540 19070735539 38141471078 57212206617 76282942156 95353677695 114424413234 190707355390 228848826468 286061033085 381414710780 572122066170 1144244132340