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1340314105152 = 263111514202771
BaseRepresentation
bin10011100000010000111…
…100100011010101000000
311202010120210110011222210
4103200100330203111000
5133424430402331102
62503422022502120
7165556142626551
oct23402074432500
94663523404883
101340314105152
11477473409070
12197918594940
1399511275a29
1448c2b75c328
1524ce82a536c
hex13810f23540

1340314105152 has 112 divisors (see below), whose sum is σ = 3894254913024. Its totient is φ = 403465920000.

The previous prime is 1340314105129. The next prime is 1340314105159. The reversal of 1340314105152 is 2515014130431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340314105159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782474 + ... + 2420297.

It is an arithmetic number, because the mean of its divisors is an integer number (34770133152).

Almost surely, 21340314105152 is an apocalyptic number.

1340314105152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1340314105152 is an abundant number, since it is smaller than the sum of its proper divisors (2553940807872).

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

1340314105152 is a wasteful number, since it uses less digits than its factorization.

1340314105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202948 (or 4202938 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1340314105152 its reverse (2515014130431), we get a palindrome (3855328235583).

The spelling of 1340314105152 in words is "one trillion, three hundred forty billion, three hundred fourteen million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 151 176 192 264 302 352 453 528 604 704 906 1056 1208 1661 1812 2112 2416 3322 3624 4832 4983 6644 7248 9664 9966 13288 14496 19932 26576 28992 39864 53152 79728 106304 159456 318912 4202771 8405542 12608313 16811084 25216626 33622168 46230481 50433252 67244336 92460962 100866504 134488672 138691443 184921924 201733008 268977344 277382886 369843848 403466016 554765772 634618421 739687696 806932032 1109531544 1269236842 1479375392 1903855263 2219063088 2538473684 2958750784 3807710526 4438126176 5076947368 6980802631 7615421052 8876252352 10153894736 13961605262 15230842104 20307789472 20942407893 27923210524 30461684208 40615578944 41884815786 55846421048 60923368416 83769631572 111692842096 121846736832 167539263144 223385684192 335078526288 446771368384 670157052576 1340314105152