Search a number
-
+
41132122320 = 2435753722739
BaseRepresentation
bin100110010011101010…
…100110000011010000
310221011120100022100210
4212103222212003100
51133214310403240
630521300044120
72654202161652
oct462352460320
9127146308323
1041132122320
1116498013323
127b7b093640
133b5679c223
141dc2aac6d2
15110b0b5780
hex993aa60d0

41132122320 has 80 divisors (see below), whose sum is σ = 127532105280. Its totient is φ = 10966628352.

The previous prime is 41132122313. The next prime is 41132122321. The reversal of 41132122320 is 2322123114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132122321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797511 + ... + 1820249.

It is an arithmetic number, because the mean of its divisors is an integer number (1594151316).

Almost surely, 241132122320 is an apocalyptic number.

41132122320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41132122320 is an abundant number, since it is smaller than the sum of its proper divisors (86399982960).

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

41132122320 is a wasteful number, since it uses less digits than its factorization.

41132122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30292 (or 30286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41132122320 its reverse (2322123114), we get a palindrome (43454245434).

The spelling of 41132122320 in words is "forty-one billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7537 15074 22611 22739 30148 37685 45222 45478 60296 68217 75370 90444 90956 113055 113695 120592 136434 150740 180888 181912 226110 227390 272868 301480 341085 361776 363824 452220 454780 545736 602960 682170 904440 909560 1091472 1364340 1808880 1819120 2728680 5457360 171383843 342767686 514151529 685535372 856919215 1028303058 1371070744 1713838430 2056606116 2570757645 2742141488 3427676860 4113212232 5141515290 6855353720 8226424464 10283030580 13710707440 20566061160 41132122320