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41201601320 = 23511571163993
BaseRepresentation
bin100110010111110011…
…101000101100101000
310221100102002012122002
4212113303220230220
51133340102220240
630532221150132
72656004555435
oct462763505450
9127312065562
1041201601320
1116523258990
127b9a3bb348
133b67cb7869
141dcbdd6b8c
15111223bd15
hex997ce8b28

41201601320 has 64 divisors (see below), whose sum is σ = 101308933440. Its totient is φ = 14956070400.

The previous prime is 41201601313. The next prime is 41201601361. The reversal of 41201601320 is 2310610214.

41201601320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 41201601292 and 41201601301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169244 + ... + 333236.

It is an arithmetic number, because the mean of its divisors is an integer number (1582952085).

Almost surely, 241201601320 is an apocalyptic number.

41201601320 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 41201601320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50654466720).

41201601320 is an abundant number, since it is smaller than the sum of its proper divisors (60107332120).

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

41201601320 is a wasteful number, since it uses less digits than its factorization.

41201601320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164586 (or 164582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 41201601320 in words is "forty-one billion, two hundred one million, six hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 571 1142 2284 2855 4568 5710 6281 11420 12562 22840 25124 31405 50248 62810 125620 163993 251240 327986 655972 819965 1311944 1639930 1803923 3279860 3607846 6559720 7215692 9019615 14431384 18039230 36078460 72156920 93640003 187280006 374560012 468200015 749120024 936400030 1030040033 1872800060 2060080066 3745600120 4120160132 5150200165 8240320264 10300400330 20600800660 41201601320