Search a number
-
+
340201110040 = 235112926661529
BaseRepresentation
bin1001111001101011001…
…00001111101000011000
31012112010012102000100121
410330311210033220120
521033212441010130
6420141454243024
733402333502651
oct4746544175030
91175105360317
10340201110040
11121307726290
1255b247b6474
132610876679c
1412674300528
158cb1b6dd7a
hex4f3590fa18

340201110040 has 64 divisors (see below), whose sum is σ = 863833572000. Its totient is φ = 119443645440.

The previous prime is 340201110019. The next prime is 340201110047. The reversal of 340201110040 is 40011102043.

It is a junction number, because it is equal to n+sod(n) for n = 340201109996 and 340201110023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340201110047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13318005 + ... + 13343524.

Almost surely, 2340201110040 is an apocalyptic number.

It is an amenable number.

340201110040 is an abundant number, since it is smaller than the sum of its proper divisors (523632461960).

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

340201110040 is a wasteful number, since it uses less digits than its factorization.

340201110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26661580 (or 26661576 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 340201110040 its reverse (40011102043), we get a palindrome (380212212083).

It can be divided in two parts, 340201 and 110040, that added together give a square (450241 = 6712).

The spelling of 340201110040 in words is "three hundred forty billion, two hundred one million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 26661529 53323058 106646116 133307645 213292232 266615290 293276819 533230580 586553638 773184341 1066461160 1173107276 1466384095 1546368682 2346214552 2932768190 3092737364 3865921705 5865536380 6185474728 7731843410 8505027751 11731072760 15463686820 17010055502 30927373640 34020111004 42525138755 68040222008 85050277510 170100555020 340201110040