Search a number
-
+
41422200320 = 29518318837
BaseRepresentation
bin100110100100111101…
…001001111000000000
310221220210011210120102
4212210331021320000
51134313040402240
631010141301532
72664323615264
oct464475117000
9127823153512
1041422200320
1116626830206
1280402648a8
133ba1904b07
14200d41c0a4
1511267b4815
hex9a4f49e00

41422200320 has 80 divisors (see below), whose sum is σ = 99381683808. Its totient is φ = 16557957120.

The previous prime is 41422200319. The next prime is 41422200331. The reversal of 41422200320 is 2300222414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41422200292 and 41422200301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4682942 + ... + 4691778.

Almost surely, 241422200320 is an apocalyptic number.

41422200320 is a gapful number since it is divisible by the number (40) 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 41422200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49690841904).

41422200320 is an abundant number, since it is smaller than the sum of its proper divisors (57959483488).

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

41422200320 is an equidigital number, since it uses as much as digits as its factorization.

41422200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41422200320 its reverse (2300222414), we get a palindrome (43722422734).

The spelling of 41422200320 in words is "forty-one billion, four hundred twenty-two million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1831 2560 3662 7324 8837 9155 14648 17674 18310 29296 35348 36620 44185 58592 70696 73240 88370 117184 141392 146480 176740 234368 282784 292960 353480 468736 565568 585920 706960 937472 1131136 1171840 1413920 2262272 2343680 2827840 4524544 4687360 5655680 11311360 16180547 22622720 32361094 64722188 80902735 129444376 161805470 258888752 323610940 517777504 647221880 1035555008 1294443760 2071110016 2588887520 4142220032 5177775040 8284440064 10355550080 20711100160 41422200320