Search a number
-
+
41301342324 = 2232111371794253
BaseRepresentation
bin100110011101110000…
…000111100001110100
310221121100202120120100
4212131300013201310
51134041120423244
630550143034100
72661325421514
oct463560074164
9127540676510
1041301342324
1116574592870
12800789b930
133b8286a4c8
141ddb35b844
15111ad8eb69
hex99dc07874

41301342324 has 144 divisors (see below), whose sum is σ = 115390941120. Its totient is φ = 12351889920.

The previous prime is 41301342323. The next prime is 41301342343. The reversal of 41301342324 is 42324310314.

41301342324 is a `hidden beast` number, since 4 + 1 + 301 + 34 + 2 + 324 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41301342323) 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 47 ways as a sum of consecutive naturals, for example, 9708982 + ... + 9713234.

It is an arithmetic number, because the mean of its divisors is an integer number (801325980).

Almost surely, 241301342324 is an apocalyptic number.

41301342324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41301342324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57695470560).

41301342324 is an abundant number, since it is smaller than the sum of its proper divisors (74089598796).

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

41301342324 is a wasteful number, since it uses less digits than its factorization.

41301342324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41301342324 its reverse (42324310314), we get a palindrome (83625652638).

The spelling of 41301342324 in words is "forty-one billion, three hundred one million, three hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 179 198 274 358 396 411 537 548 716 822 1074 1233 1507 1611 1644 1969 2148 2466 3014 3222 3938 4253 4521 4932 5907 6028 6444 7876 8506 9042 11814 12759 13563 17012 17721 18084 23628 24523 25518 27126 35442 38277 46783 49046 51036 54252 70884 73569 76554 93566 98092 140349 147138 153108 187132 220707 269753 280698 294276 421047 441414 539506 561396 582661 761287 809259 842094 882828 1079012 1165322 1522574 1618518 1684188 1747983 2283861 2330644 2427777 3045148 3237036 3495966 4567722 4855554 5243949 6409271 6851583 6991932 8374157 9135444 9711108 10487898 12818542 13703166 16748314 19227813 20975796 25122471 25637084 27406332 33496628 38455626 50244942 57683439 75367413 76911252 100489884 104296319 115366878 150734826 208592638 230733756 301469652 312888957 417185276 625777914 938666871 1147259509 1251555828 1877333742 2294519018 3441778527 3754667484 4589038036 6883557054 10325335581 13767114108 20650671162 41301342324