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139710740841 = 34721723492
BaseRepresentation
bin1000001000011101101…
…0001011100101101001
3111100121200101222210000
42002013122023211221
54242111422201331
6144103210013213
713044106463100
oct2020732134551
9440550358700
10139710740841
1154284086491
12230b0a17209
1310236985029
146a95053037
15397a6350e6
hex208768b969

139710740841 has 135 divisors (see below), whose sum is σ = 258639962229. Its totient is φ = 74923252992.

The previous prime is 139710740809. The next prime is 139710740863. The reversal of 139710740841 is 148047017931.

The square root of 139710740841 is 373779.

It is a perfect power (a square), and thus also a powerful number.

139710740841 is a `hidden beast` number, since 13 + 97 + 107 + 408 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36800667225 + 102910073616 = 191835^2 + 320796^2 .

It is not a de Polignac number, because 139710740841 - 25 = 139710740809 is a prime.

It is a super-2 number, since 2×1397107408412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139710740641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 400317135 + ... + 400317483.

Almost surely, 2139710740841 is an apocalyptic number.

139710740841 is the 373779-th square number.

139710740841 is the 186890-th centered octagonal number.

It is an amenable number.

139710740841 is a deficient number, since it is larger than the sum of its proper divisors (118929221388).

139710740841 is an frugal number, since it uses more digits than its factorization.

139710740841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 139710740841 in words is "one hundred thirty-nine billion, seven hundred ten million, seven hundred forty thousand, eight hundred forty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 289 349 357 441 459 567 833 867 1047 1071 1323 1377 2023 2443 2499 2601 3141 3213 3969 5933 6069 7329 7497 7803 9423 9639 14161 17101 17799 18207 21987 22491 23409 28269 41531 42483 51303 53397 54621 65961 67473 100861 121801 124593 127449 153909 160191 163863 197883 290717 302583 365403 373779 382347 461727 480573 706027 852607 872151 907749 1096209 1121337 1147041 1385181 2070617 2118081 2557821 2616453 2723247 3288627 3364011 4942189 5968249 6211851 6354243 7673463 7849359 8169741 9865881 14494319 14826567 17904747 18635553 19062729 23020389 23548077 35200489 43482957 44479701 53714241 55906659 57188187 69061167 101460233 105601467 130448871 133439103 161142723 167719977 246403423 304380699 316804401 391346613 400317309 483428169 739210269 913142097 950413203 1174039839 1724823961 2217630807 2739426291 2851239609 5174471883 6652892421 8218278873 15523415649 19958677263 46570246947 139710740841