Search a number
-
+
201044334040 = 235111021447521
BaseRepresentation
bin1011101100111100101…
…1010001010111011000
3201012221010101100110221
42323033023101113120
511243214322142130
6232205233445424
720345031433444
oct2731713212730
9635833340427
10201044334040
1178298315890
1232b69410874
1315c5c7ac804
149a32a8d824
155369eb187a
hex2ecf2d15d8

201044334040 has 64 divisors (see below), whose sum is σ = 493956882720. Its totient is φ = 73035264000.

The previous prime is 201044334031. The next prime is 201044334059. The reversal of 201044334040 is 40433440102.

It is a junction number, because it is equal to n+sod(n) for n = 201044333996 and 201044334014.

It is a congruent number.

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, 225480 + ... + 673000.

Almost surely, 2201044334040 is an apocalyptic number.

201044334040 is a gapful number since it is divisible by the number (20) 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 201044334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246978441360).

201044334040 is an abundant number, since it is smaller than the sum of its proper divisors (292912548680).

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

201044334040 is a wasteful number, since it uses less digits than its factorization.

201044334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448564 (or 448560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 201044334040 its reverse (40433440102), we get a palindrome (241477774142).

The spelling of 201044334040 in words is "two hundred one billion, forty-four million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1021 2042 4084 5105 8168 10210 11231 20420 22462 40840 44924 56155 89848 112310 224620 447521 449240 895042 1790084 2237605 3580168 4475210 4922731 8950420 9845462 17900840 19690924 24613655 39381848 49227310 98454620 196909240 456918941 913837882 1827675764 2284594705 3655351528 4569189410 5026108351 9138378820 10052216702 18276757640 20104433404 25130541755 40208866808 50261083510 100522167020 201044334040