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1309049504343 = 327223731767937
BaseRepresentation
bin10011000011001001011…
…011100100001001010111
311122010212220120220102200
4103003021123210021113
5132421413133114333
62441211413535543
7163401316124100
oct23031133441127
94563786526380
101309049504343
1146518a3557a9
121918520445b3
139659abbb339
14475033a93a7
15240b862ec13
hex130c96e4257

1309049504343 has 72 divisors (see below), whose sum is σ = 2326634695008. Its totient is φ = 705703477248.

The previous prime is 1309049504341. The next prime is 1309049504363. The reversal of 1309049504343 is 3434059409031.

It is a happy number.

1309049504343 is a `hidden beast` number, since 1 + 30 + 90 + 495 + 0 + 4 + 3 + 43 = 666.

It is not a de Polignac number, because 1309049504343 - 21 = 1309049504341 is a prime.

It is a super-3 number, since 3×13090495043433 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309049504341) 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 71 ways as a sum of consecutive naturals, for example, 143530 + ... + 1624407.

It is an arithmetic number, because the mean of its divisors is an integer number (32314370764).

Almost surely, 21309049504343 is an apocalyptic number.

1309049504343 is a deficient number, since it is larger than the sum of its proper divisors (1017585190665).

1309049504343 is a wasteful number, since it uses less digits than its factorization.

1309049504343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768053 (or 1768043 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 1309049504343 in words is "one trillion, three hundred nine billion, forty-nine million, five hundred four thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 23 49 63 69 73 147 161 207 219 441 483 511 657 1127 1449 1533 1679 3381 3577 4599 5037 10143 10731 11753 15111 32193 35259 82271 105777 246813 740439 1767937 5303811 12375559 15911433 37126677 40662551 86628913 111380031 121987653 129059401 259886739 284637857 365962959 387178203 779660217 853913571 903415807 1161534609 1992464999 2561740713 2710247421 2968366223 5977394997 6323910649 8130742263 8905098669 17932184991 18971731947 20778563561 26715296007 56915195841 62335690683 145449944927 187007072049 436349834781 1309049504343