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1310231114432 = 261716723330949
BaseRepresentation
bin10011000100001111110…
…111000011001011000000
311122020221020222220202022
4103010033313003023000
5132431323131130212
62441524543541012
7163442514500342
oct23041767031300
94566836886668
101310231114432
11465736340969
12191b218ba768
13967289441c6
14475b62ad292
1524137236772
hex1310fdc32c0

1310231114432 has 112 divisors (see below), whose sum is σ = 2781390830400. Its totient is φ = 610237120512.

The previous prime is 1310231114429. The next prime is 1310231114447. The reversal of 1310231114432 is 2344111320131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42319694 + ... + 42350642.

It is an arithmetic number, because the mean of its divisors is an integer number (24833846700).

Almost surely, 21310231114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310231114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390695415200).

1310231114432 is an abundant number, since it is smaller than the sum of its proper divisors (1471159715968).

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

1310231114432 is a wasteful number, since it uses less digits than its factorization.

1310231114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31378 (or 31368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1310231114432 its reverse (2344111320131), we get a palindrome (3654342434563).

The spelling of 1310231114432 in words is "one trillion, three hundred ten billion, two hundred thirty-one million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 167 233 272 334 466 544 668 932 1088 1336 1864 2672 2839 3728 3961 5344 5678 7456 7922 10688 11356 14912 15844 22712 30949 31688 38911 45424 61898 63376 77822 90848 123796 126752 155644 181696 247592 253504 311288 495184 526133 622576 661487 990368 1052266 1245152 1322974 1980736 2104532 2490304 2645948 4209064 5168483 5291896 7211117 8418128 10336966 10583792 14422234 16836256 20673932 21167584 28844468 33672512 41347864 42335168 57688936 82695728 87864211 115377872 122588989 165391456 175728422 230755744 245177978 330782912 351456844 461511488 490355956 702913688 980711912 1204256539 1405827376 1961423824 2408513078 2811654752 3922847648 4817026156 5623309504 7845695296 9634052312 19268104624 20472361163 38536209248 40944722326 77072418496 81889444652 163778889304 327557778608 655115557216 1310231114432