Search a number
-
+
41220317734720 = 265128813492921
BaseRepresentation
bin10010101111101010110100…
…11001010110011101000000
312101221121211211000222122021
421113311122121112131000
520400323202320002340
6223400204052251224
711453032620455665
oct1127653231263500
9171847754028567
1041220317734720
1112152490827a63
124758935010b14
131a000a03271b7
14a27107197a6c
154b737d4d6e4a
hex257d5a656740

41220317734720 has 28 divisors (see below), whose sum is σ = 98155881606564. Its totient is φ = 16488127093760.

The previous prime is 41220317734679. The next prime is 41220317734733. The reversal of 41220317734720 is 2743771302214.

41220317734720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17453210711616 + 23767107023104 = 4177704^2 + 4875152^2 .

It is a super-2 number, since 2×412203177347202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64406746141 + ... + 64406746780.

Almost surely, 241220317734720 is an apocalyptic number.

41220317734720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41220317734720 is an abundant number, since it is smaller than the sum of its proper divisors (56935563871844).

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

41220317734720 is a wasteful number, since it uses less digits than its factorization.

41220317734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128813492938 (or 128813492928 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 41220317734720 in words is "forty-one trillion, two hundred twenty billion, three hundred seventeen million, seven hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 128813492921 257626985842 515253971684 644067464605 1030507943368 1288134929210 2061015886736 2576269858420 4122031773472 5152539716840 8244063546944 10305079433680 20610158867360 41220317734720