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1343714169728 = 27717437320173
BaseRepresentation
bin10011100011011011100…
…110110001001110000000
311202110100202021100202102
4103203123212301032000
5134003411311412403
62505143242005532
7166036326663350
oct23433346611600
94673322240672
101343714169728
11478958688997
121985071a68a8
13999337c2068
1449071144b60
1524e46a21b88
hex138db9b1380

1343714169728 has 128 divisors (see below), whose sum is σ = 3240212310720. Its totient is φ = 541851549696.

The previous prime is 1343714169727. The next prime is 1343714169737. The reversal of 1343714169728 is 8279614173431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343714169727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66599450 + ... + 66619622.

Almost surely, 21343714169728 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 1343714169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620106155360).

1343714169728 is an abundant number, since it is smaller than the sum of its proper divisors (1896498140992).

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

1343714169728 is a wasteful number, since it uses less digits than its factorization.

1343714169728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24584 (or 24572 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 56.

The spelling of 1343714169728 in words is "one trillion, three hundred forty-three billion, seven hundred fourteen million, one hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 4373 7616 8746 15232 17492 20173 30611 34984 40346 61222 69968 74341 80692 122444 139936 141211 148682 161384 244888 279872 282422 297364 322768 342941 489776 520387 559744 564844 594728 645536 685882 979552 1040774 1129688 1189456 1291072 1371764 1959104 2081548 2259376 2378912 2400587 2582144 2743528 3918208 4163096 4518752 4757824 4801174 5487056 8326192 9037504 9515648 9602348 10974112 16652384 18075008 19204696 21948224 33304768 38409392 43896448 66609536 76818784 88216529 153637568 176433058 307275136 352866116 617515703 705732232 1235031406 1411464464 1499680993 2470062812 2822928928 2999361986 4940125624 5645857856 5998723972 9880251248 10497766951 11291715712 11997447944 19760502496 20995533902 23994895888 39521004992 41991067804 47989791776 79042009984 83982135608 95979583552 167964271216 191959167104 335928542432 671857084864 1343714169728