Search a number
-
+
14106603240 = 2332589440281
BaseRepresentation
bin11010010001101000…
…11010111011101000
31100102010001200201200
431020310122323220
5212342242300430
610251441244200
71006401102102
oct151064327350
940363050650
1014106603240
115a8989a894
122898333660
13143a725112
1497b706572
1557868e460
hex348d1aee8

14106603240 has 96 divisors (see below), whose sum is σ = 46361694600. Its totient is φ = 3719485440.

The previous prime is 14106603229. The next prime is 14106603307. The reversal of 14106603240 is 4230660141.

14106603240 is a `hidden beast` number, since 1 + 4 + 10 + 6 + 603 + 2 + 40 = 666.

14106603240 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 7812084996 + 6294518244 = 88386^2 + 79338^2 .

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 23 ways as a sum of consecutive naturals, for example, 188101 + ... + 252180.

Almost surely, 214106603240 is an apocalyptic number.

14106603240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14106603240 is an abundant number, since it is smaller than the sum of its proper divisors (32255091360).

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

14106603240 is a wasteful number, since it uses less digits than its factorization.

14106603240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440387 (or 440380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 14106603240 in words is "fourteen billion, one hundred six million, six hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 440281 880562 1320843 1761124 2201405 2641686 3522248 3962529 4402810 5283372 6604215 7925058 8805620 10566744 13208430 15850116 17611240 19812645 26416860 31700232 39185009 39625290 52833720 78370018 79250580 117555027 156740036 158501160 195925045 235110054 313480072 352665081 391850090 470220108 587775135 705330162 783700180 940440216 1175550270 1410660324 1567400360 1763325405 2351100540 2821320648 3526650810 4702201080 7053301620 14106603240