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939141242649 = 34292472792
BaseRepresentation
bin11011010101010010010…
…11100001111100011001
310022210002100221020010000
431222221023201330121
5110341330124231044
61555234024043213
7124564536564411
oct15525113417431
93283070836100
10939141242649
11332318825815
12132018603509
136a73995530c
14336518d1641
1519668931d69
hexdaa92e1f19

939141242649 has 135 divisors (see below), whose sum is σ = 1503560385327. Its totient is φ = 584153754912.

The previous prime is 939141242573. The next prime is 939141242723. The reversal of 939141242649 is 946242141939.

The square root of 939141242649 is 969093.

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

939141242649 is a `hidden beast` number, since 9 + 39 + 141 + 2 + 426 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 492462887049 + 446678355600 = 701757^2 + 668340^2 .

It is not a de Polignac number, because 939141242649 - 225 = 939107688217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 939141242595 and 939141242604.

It is not an unprimeable number, because it can be changed into a prime (939141242749) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11887863792 + ... + 11887863870.

Almost surely, 2939141242649 is an apocalyptic number.

939141242649 is the 969093-rd square number.

939141242649 is the 484547-th centered octagonal number.

It is an amenable number.

939141242649 is a deficient number, since it is larger than the sum of its proper divisors (564419142678).

939141242649 is an frugal number, since it uses more digits than its factorization.

939141242649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 158 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 939141242649 in words is "nine hundred thirty-nine billion, one hundred forty-one million, two hundred forty-two thousand, six hundred forty-nine".

Divisors: 1 3 9 27 29 47 79 81 87 141 237 261 423 711 783 841 1269 1363 2133 2209 2291 2349 2523 3713 3807 4089 6241 6399 6627 6873 7569 11139 12267 18723 19881 20619 22707 33417 36801 39527 56169 59643 61857 64061 66439 68121 100251 107677 110403 118581 168507 174511 178929 180989 185571 192183 199317 293327 300753 323031 355743 505521 523533 542967 576549 597951 879981 969093 1067229 1570599 1628901 1729647 1793853 1857769 2639943 2907279 3122633 3201687 4711797 4886703 5060819 5188941 5248681 5381559 5573307 7919829 8506483 8721837 9367899 13786369 14135391 14660109 15182457 15746043 16719921 23759487 25519449 28103697 41359107 45547371 47238129 50159763 76558347 84311091 124077321 136642113 141714387 146763751 150479289 229675041 246688007 252933273 372231963 399804701 409926339 425143161 440291253 689025123 740064021 1116695889 1199414103 1320873759 2220192063 3598242309 3962621277 6660576189 10794726927 11594336329 11887863831 19981728567 32384180781 34783008987 104349026961 313047080883 939141242649