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202104141140 = 2251119244719759
BaseRepresentation
bin1011110000111001011…
…0000111010101010100
3201022122222121010111202
42330032112013111110
511302402130004030
6232502333052032
720413220566166
oct2741626072524
9638588533452
10202104141140
1178791578620
1233204327018
131609b229bc5
149ad3728936
1553cd058745
hex2f0e587554

202104141140 has 96 divisors (see below), whose sum is σ = 487594598400. Its totient is φ = 69592417920.

The previous prime is 202104141097. The next prime is 202104141157. The reversal of 202104141140 is 41141401202.

202104141140 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10218581 + ... + 10238339.

It is an arithmetic number, because the mean of its divisors is an integer number (5079110400).

Almost surely, 2202104141140 is an apocalyptic number.

202104141140 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 202104141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243797299200).

202104141140 is an abundant number, since it is smaller than the sum of its proper divisors (285490457260).

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

202104141140 is a wasteful number, since it uses less digits than its factorization.

202104141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22245 (or 22243 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202104141140 its reverse (41141401202), we get a palindrome (243245542342).

The spelling of 202104141140 in words is "two hundred two billion, one hundred four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2447 4180 4894 9788 12235 19759 24470 26917 39518 46493 48940 53834 79036 92986 98795 107668 134585 185972 197590 217349 232465 269170 375421 395180 434698 464930 511423 538340 750842 869396 929860 1022846 1086745 1501684 1877105 2045692 2173490 2557115 3754210 4129631 4346980 5114230 7508420 8259262 10228460 16518524 20648155 41296310 48350273 82592620 96700546 193401092 241751365 483502730 531853003 918655187 967005460 1063706006 1837310374 2127412012 2659265015 3674620748 4593275935 5318530030 9186551870 10105207057 10637060060 18373103740 20210414114 40420828228 50526035285 101052070570 202104141140