Search a number
-
+
41434512431320 = 23517939341147097
BaseRepresentation
bin10010110101111001110010…
…11001010001100011011000
312102201002201102010222020101
421122330321121101203120
520412330340140300240
6224042430252105144
711504354562400051
oct1132747131214330
9172632642128211
1041434512431320
1112225307087878
1247923524651b4
131a173473a3618
14a33626553728
154bcc17bec39a
hex25af396518d8

41434512431320 has 64 divisors (see below), whose sum is σ = 93751498159200. Its totient is φ = 16480682910720.

The previous prime is 41434512431311. The next prime is 41434512431329. The reversal of 41434512431320 is 2313421543414.

41434512431320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41434512431311) and next prime (41434512431329).

It is a self number, because there is not a number n which added to its sum of digits gives 41434512431320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41434512431329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281608012 + ... + 281755108.

Almost surely, 241434512431320 is an apocalyptic number.

41434512431320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41434512431320 is an abundant number, since it is smaller than the sum of its proper divisors (52316985727880).

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

41434512431320 is a wasteful number, since it uses less digits than its factorization.

41434512431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186628 (or 186624 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 41434512431320 its reverse (2313421543414), we get a palindrome (43747933974734).

The spelling of 41434512431320 in words is "forty-one trillion, four hundred thirty-four billion, five hundred twelve million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 39341 78682 147097 157364 196705 294194 314728 393410 588388 735485 786820 1176776 1470970 1573640 2941940 5883880 7042039 14084078 26330363 28168156 35210195 52660726 56336312 70420390 105321452 131651815 140840780 210642904 263303630 281681560 526607260 1053214520 5786943077 11573886154 23147772308 28934715385 46295544616 57869430770 115738861540 231477723080 1035862810783 2071725621566 4143451243132 5179314053915 8286902486264 10358628107830 20717256215660 41434512431320