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1338739358140 = 2258910940117207
BaseRepresentation
bin10011011110110011000…
…101010111100110111100
311201222112001021202012101
4103132303011113212330
5133413214233430030
62503001450314444
7165502131534442
oct23366305274674
94658461252171
101338739358140
11476835515358
12197559128a24
139931cc42372
1448b1c55cb92
1524c54de37ca
hex137b31579bc

1338739358140 has 96 divisors (see below), whose sum is σ = 2876344732800. Its totient is φ = 523282636800.

The previous prime is 1338739358129. The next prime is 1338739358149. The reversal of 1338739358140 is 418539378331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338739358149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77793417 + ... + 77810623.

It is an arithmetic number, because the mean of its divisors is an integer number (29961924300).

Almost surely, 21338739358140 is an apocalyptic number.

1338739358140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338739358140 is an abundant number, since it is smaller than the sum of its proper divisors (1537605374660).

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

1338739358140 is a wasteful number, since it uses less digits than its factorization.

1338739358140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17815 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 1338739358140 in words is "one trillion, three hundred thirty-eight billion, seven hundred thirty-nine million, three hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 89 109 178 218 356 401 436 445 545 802 890 1090 1604 1780 2005 2180 4010 8020 9701 17207 19402 34414 35689 38804 43709 48505 68828 71378 86035 87418 97010 142756 172070 174836 178445 194020 218545 344140 356890 437090 713780 874180 1531423 1875563 3062846 3751126 3890101 6125692 6900007 7502252 7657115 7780202 9377815 13800014 15314230 15560404 18755630 19450505 27600028 30628460 34500035 37511260 38901010 69000070 77802020 138000140 166925107 333850214 614100623 667700428 752100763 834625535 1228201246 1504201526 1669251070 2456402492 3008403052 3070503115 3338502140 3760503815 6141006230 7521007630 12282012460 15042015260 66936967907 133873935814 267747871628 334684839535 669369679070 1338739358140