Search a number
-
+
13947231240 = 233459534517
BaseRepresentation
bin11001111110101000…
…11101110000001000
31100000000011202110000
430333110131300020
5212030442344430
610223545323000
71002424336515
oct147724356010
940000152400
1013947231240
115a07937298
122852a96460
1314136c4467
1496449c30c
155696ace60
hex33f51dc08

13947231240 has 160 divisors (see below), whose sum is σ = 46937773080. Its totient is φ = 3714536448.

The previous prime is 13947231217. The next prime is 13947231253. The reversal of 13947231240 is 4213274931.

It is a happy number.

13947231240 is a `hidden beast` number, since 1 + 394 + 7 + 23 + 1 + 240 = 666.

13947231240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5843990916 + 8103240324 = 76446^2 + 90018^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13947231195 and 13947231204.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3085462 + ... + 3089978.

Almost surely, 213947231240 is an apocalyptic number.

13947231240 is a gapful number since it is divisible by the number (10) 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 13947231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23468886540).

13947231240 is an abundant number, since it is smaller than the sum of its proper divisors (32990541840).

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

13947231240 is a wasteful number, since it uses less digits than its factorization.

13947231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13947231240 in words is "thirteen billion, nine hundred forty-seven million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 953 1080 1620 1906 2859 3240 3812 4517 4765 5718 7624 8577 9034 9530 11436 13551 14295 17154 18068 19060 22585 22872 25731 27102 28590 34308 36136 38120 40653 42885 45170 51462 54204 57180 67755 68616 77193 81306 85770 90340 102924 108408 114360 121959 128655 135510 154386 162612 171540 180680 203265 205848 243918 257310 271020 308772 325224 343080 365877 385965 406530 487836 514620 542040 609795 617544 731754 771930 813060 975672 1029240 1219590 1463508 1543860 1626120 1829385 2439180 2927016 3087720 3658770 4304701 4878360 7317540 8609402 12914103 14635080 17218804 21523505 25828206 34437608 38742309 43047010 51656412 64570515 77484618 86094020 103312824 116226927 129141030 154969236 172188040 193711545 232453854 258282060 309938472 348680781 387423090 464907708 516564120 581134635 697361562 774846180 929815416 1162269270 1394723124 1549692360 1743403905 2324538540 2789446248 3486807810 4649077080 6973615620 13947231240