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41152013145 = 3453110930071
BaseRepresentation
bin100110010100110110…
…011110001101011001
310221012221202212110000
4212110312132031121
51133234403410040
630523250243213
72654533224465
oct462466361531
9127187685400
1041152013145
11164a8269621
127b85886509
133b5a944a49
141dc55a94a5
15110cbe4130
hex994d9e359

41152013145 has 80 divisors (see below), whose sum is σ = 76849597440. Its totient is φ = 21044188800.

The previous prime is 41152013141. The next prime is 41152013183. The reversal of 41152013145 is 54131025114.

41152013145 is a `hidden beast` number, since 4 + 1 + 1 + 520 + 131 + 4 + 5 = 666.

It is not a de Polignac number, because 41152013145 - 22 = 41152013141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41152013141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1353460 + ... + 1383530.

It is an arithmetic number, because the mean of its divisors is an integer number (960619968).

Almost surely, 241152013145 is an apocalyptic number.

41152013145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41152013145 is a deficient number, since it is larger than the sum of its proper divisors (35697584295).

41152013145 is a wasteful number, since it uses less digits than its factorization.

41152013145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30228 (or 30219 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 41152013145 its reverse (54131025114), we get a palindrome (95283038259).

The spelling of 41152013145 in words is "forty-one billion, one hundred fifty-two million, thirteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 109 135 155 279 327 405 465 545 837 981 1395 1635 2511 2943 3379 4185 4905 8829 10137 12555 14715 16895 30071 30411 44145 50685 90213 91233 150355 152055 270639 273699 451065 456165 811917 932201 1353195 1368495 2435751 2796603 3277739 4059585 4661005 8389809 9833217 12178755 13983015 16388695 25169427 29499651 41949045 49166085 75508281 88498953 101609909 125847135 147498255 265496859 304829727 377541405 442494765 508049545 914489181 1327484295 1524148635 2743467543 4572445905 8230402629 13717337715 41152013145