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1144403134110 = 2325591451148531
BaseRepresentation
bin10000101001110011101…
…111100000011010011110
311001101220102101200201100
4100221303233200122132
5122222214200242420
62233422002453530
7145452243066015
oct20516357403236
94041812350640
101144403134110
1140137a809945
121659623642a6
1383bbc14a222
143d564767a7c
151eb7dce0190
hex10a73be069e

1144403134110 has 96 divisors (see below), whose sum is σ = 3027985234560. Its totient is φ = 299792952000.

The previous prime is 1144403134087. The next prime is 1144403134117. The reversal of 1144403134110 is 114313044411.

1144403134110 is a `hidden beast` number, since 1 + 14 + 4 + 403 + 134 + 110 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144403134117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7630545 + ... + 7779075.

It is an arithmetic number, because the mean of its divisors is an integer number (31541512860).

Almost surely, 21144403134110 is an apocalyptic number.

1144403134110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144403134110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513992617280).

1144403134110 is an abundant number, since it is smaller than the sum of its proper divisors (1883582100450).

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

1144403134110 is a wasteful number, since it uses less digits than its factorization.

1144403134110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150054 (or 150051 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1144403134110 its reverse (114313044411), we get a palindrome (1258716178521).

The spelling of 1144403134110 in words is "one trillion, one hundred forty-four billion, four hundred three million, one hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1451 1770 2655 2902 4353 5310 7255 8706 13059 14510 21765 26118 43530 65295 85609 130590 148531 171218 256827 297062 428045 445593 513654 742655 770481 856090 891186 1284135 1336779 1485310 1540962 2227965 2568270 2673558 3852405 4455930 6683895 7704810 8763329 13367790 17526658 26289987 43816645 52579974 78869961 87633290 131449935 157739922 215518481 262899870 394349805 431036962 646555443 788699610 1077592405 1293110886 1939666329 2155184810 3232777215 3879332658 6465554430 9698331645 12715590379 19396663290 25431180758 38146771137 63577951895 76293542274 114440313411 127155903790 190733855685 228880626822 381467711370 572201567055 1144403134110