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41132115432 = 23322943458123
BaseRepresentation
bin100110010011101010…
…100100010111101000
310221011120022221220200
4212103222210113220
51133214310143212
630521255552200
72654202132612
oct462352442750
9127146287820
1041132115432
1116498009131
127b7b08b660
133b56799055
141dc2aa9db2
15110b0b36dc
hex993aa45e8

41132115432 has 96 divisors (see below), whose sum is σ = 117921117600. Its totient is φ = 12930035328.

The previous prime is 41132115379. The next prime is 41132115443. The reversal of 41132115432 is 23451123114.

41132115432 is a `hidden beast` number, since 4 + 1 + 13 + 211 + 5 + 432 = 666.

It is a super-2 number, since 2×411321154322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41132115396 and 41132115405.

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, 139278 + ... + 318845.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344975).

Almost surely, 241132115432 is an apocalyptic number.

It is an amenable number.

41132115432 is an abundant number, since it is smaller than the sum of its proper divisors (76789002168).

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

41132115432 is a wasteful number, since it uses less digits than its factorization.

41132115432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458207 (or 458200 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 41132115432 its reverse (23451123114), we get a palindrome (64583238546).

The spelling of 41132115432 in words is "forty-one billion, one hundred thirty-two million, one hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 43 58 72 86 87 116 129 172 174 232 258 261 344 348 387 516 522 696 774 1032 1044 1247 1548 2088 2494 3096 3741 4988 7482 9976 11223 14964 22446 29928 44892 89784 458123 916246 1374369 1832492 2748738 3664984 4123107 5497476 8246214 10994952 13285567 16492428 19699289 26571134 32984856 39398578 39856701 53142268 59097867 78797156 79713402 106284536 118195734 119570103 157594312 159426804 177293601 236391468 239140206 318853608 354587202 472782936 478280412 571279381 709174404 956560824 1142558762 1418348808 1713838143 2285117524 3427676286 4570235048 5141514429 6855352572 10283028858 13710705144 20566057716 41132115432