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1309980238336 = 29711113294053
BaseRepresentation
bin10011000100000000111…
…010000010001000000000
311122020021202221002110001
4103010000322002020000
5132430314420111321
62441444022445344
7163433350206220
oct23040072021000
94566252832401
101309980238336
11465617769a50
12191a71893854
13966b8985b03
1447590c46080
15241201ccc91
hex13100e82200

1309980238336 has 160 divisors (see below), whose sum is σ = 3292143896448. Its totient is φ = 505863536640.

The previous prime is 1309980238331. The next prime is 1309980238339. The reversal of 1309980238336 is 6338320899031.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1309980238331) 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, 4307886 + ... + 4601938.

Almost surely, 21309980238336 is an apocalyptic number.

1309980238336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309980238336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646071948224).

1309980238336 is an abundant number, since it is smaller than the sum of its proper divisors (1982163658112).

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

1309980238336 is a wasteful number, since it uses less digits than its factorization.

1309980238336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294202 (or 294186 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 1309980238336 in words is "one trillion, three hundred nine billion, nine hundred eighty million, two hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 113 128 154 176 224 226 256 308 352 448 452 512 616 704 791 896 904 1232 1243 1408 1582 1792 1808 2464 2486 2816 3164 3584 3616 4928 4972 5632 6328 7232 8701 9856 9944 12656 14464 17402 19712 19888 25312 28928 34804 39424 39776 50624 57856 69608 79552 101248 139216 159104 202496 278432 294053 318208 404992 556864 588106 636416 1113728 1176212 2058371 2227456 2352424 3234583 4116742 4454912 4704848 6469166 8233484 9409696 12938332 16466968 18819392 22642081 25876664 32933936 33227989 37638784 45284162 51753328 65867872 66455978 75277568 90568324 103506656 131735744 132911956 150555136 181136648 207013312 232595923 263471488 265823912 362273296 365507879 414026624 465191846 526942976 531647824 724546592 731015758 828053248 930383692 1053885952 1063295648 1449093184 1462031516 1656106496 1860767384 2126591296 2558555153 2898186368 2924063032 3721534768 4253182592 5117110306 5796372736 5848126064 7443069536 8506365184 10234220612 11592745472 11696252128 14886139072 17012730368 20468441224 23392504256 29772278144 40936882448 46785008512 59544556288 81873764896 93570017024 119089112576 163747529792 187140034048 327495059584 654990119168 1309980238336