Search a number
-
+
41145352431 = 3127577187163
BaseRepresentation
bin100110010100011101…
…000100000011101111
310221012111020110122220
4212110131010003233
51133231202234211
630522451410423
72654422503501
oct462435040357
9127174213586
1041145352431
11164a452a2a7
127b835b3a13
133b594520b1
141dc4753d71
15110c32a806
hex9947440ef

41145352431 has 16 divisors (see below), whose sum is σ = 55388565504. Its totient is φ = 27166938624.

The previous prime is 41145352319. The next prime is 41145352439. The reversal of 41145352431 is 13425354114.

It is not a de Polignac number, because 41145352431 - 225 = 41111797999 is a prime.

It is a super-2 number, since 2×411453524312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41145352392 and 41145352401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145352439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 126256 + ... + 313418.

It is an arithmetic number, because the mean of its divisors is an integer number (3461785344).

Almost surely, 241145352431 is an apocalyptic number.

41145352431 is a deficient number, since it is larger than the sum of its proper divisors (14243213073).

41145352431 is a wasteful number, since it uses less digits than its factorization.

41145352431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187870.

The product of its digits is 28800, while the sum is 33.

The spelling of 41145352431 in words is "forty-one billion, one hundred forty-five million, three hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 127 381 577 1731 73279 187163 219837 561489 23769701 71309103 107993051 323979153 13715117477 41145352431