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41434103520 = 2532528773683
BaseRepresentation
bin100110100101101010…
…100011111011100000
310221221121120112200200
4212211222203323200
51134324112303040
631011244345200
72664530032425
oct464552437340
9127847515620
1041434103520
1116632520267
128044245200
133ba4211a24
142010c39d4c
151127866630
hex9a5aa3ee0

41434103520 has 72 divisors (see below), whose sum is σ = 141393883176. Its totient is φ = 11049093888.

The previous prime is 41434103483. The next prime is 41434103551. The reversal of 41434103520 is 2530143414.

It is a happy number.

41434103520 is a `hidden beast` number, since 4 + 1 + 4 + 34 + 103 + 520 = 666.

41434103520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14385402 + ... + 14388281.

It is an arithmetic number, because the mean of its divisors is an integer number (1963803933).

Almost surely, 241434103520 is an apocalyptic number.

41434103520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41434103520 is an abundant number, since it is smaller than the sum of its proper divisors (99959779656).

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

41434103520 is a wasteful number, since it uses less digits than its factorization.

41434103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28773704 (or 28773693 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41434103520 its reverse (2530143414), we get a palindrome (43964246934).

The spelling of 41434103520 in words is "forty-one billion, four hundred thirty-four million, one hundred three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 28773683 57547366 86321049 115094732 143868415 172642098 230189464 258963147 287736830 345284196 431605245 460378928 517926294 575473660 690568392 863210490 920757856 1035852588 1150947320 1294815735 1381136784 1726420980 2071705176 2301894640 2589631470 2762273568 3452841960 4143410352 4603789280 5179262940 6905683920 8286820704 10358525880 13811367840 20717051760 41434103520