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41421131402144 = 2513293433449221
BaseRepresentation
bin10010110101100000110111…
…10100101100101110100000
312102122211011212101021000012
421122300123310230232200
520412120434114332034
6224032334410144052
711503402151462144
oct1132603364545640
9172584155337005
1041421131402144
111221a66a91457a
12478b839122028
131a15cc40a3190
14a32b17361224
154bc6d30d2cce
hex25ac1bd2cba0

41421131402144 has 48 divisors (see below), whose sum is σ = 90849066414120. Its totient is φ = 18458223006720.

The previous prime is 41421131402059. The next prime is 41421131402149. The reversal of 41421131402144 is 44120413112414.

It can be written as a sum of positive squares in 4 ways, for example, as 23084065849744 + 18337065552400 = 4804588^2 + 4282180^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41421131402144.

It is not an unprimeable number, because it can be changed into a prime (41421131402149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1716712547 + ... + 1716736674.

Almost surely, 241421131402144 is an apocalyptic number.

It is an amenable number.

41421131402144 is an abundant number, since it is smaller than the sum of its proper divisors (49427935011976).

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

41421131402144 is a wasteful number, since it uses less digits than its factorization.

41421131402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433449273 (or 3433449265 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 41421131402144 its reverse (44120413112414), we get a palindrome (85541544514558).

The spelling of 41421131402144 in words is "forty-one trillion, four hundred twenty-one billion, one hundred thirty-one million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 3433449221 6866898442 13733796884 27467593768 44634839873 54935187536 89269679746 99570027409 109870375072 178539359492 199140054818 357078718984 398280109636 714157437968 796560219272 1294410356317 1428314875936 1593120438544 2588820712634 3186240877088 5177641425268 10355282850536 20710565701072 41421131402144