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202130413040 = 24543311918839
BaseRepresentation
bin1011110000111111101…
…0010101010111110000
3201022201211000212210002
42330033322111113300
511302430341204130
6232505112125132
720413660106513
oct2741772252760
9638654025702
10202130413040
11787a5392036
12332110967a8
13160a37c7cca
149ad7006d7a
1553d04e7b45
hex2f0fe955f0

202130413040 has 80 divisors (see below), whose sum is σ = 481062067200. Its totient is φ = 78942372096.

The previous prime is 202130413013. The next prime is 202130413061. The reversal of 202130413040 is 40314031202.

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 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, 10719941 + ... + 10738779.

It is an arithmetic number, because the mean of its divisors is an integer number (6013275840).

Almost surely, 2202130413040 is an apocalyptic number.

202130413040 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 202130413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240531033600).

202130413040 is an abundant number, since it is smaller than the sum of its proper divisors (278931654160).

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

202130413040 is a wasteful number, since it uses less digits than its factorization.

202130413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22014 (or 22008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202130413040 its reverse (40314031202), we get a palindrome (242444444242).

The spelling of 202130413040 in words is "two hundred two billion, one hundred thirty million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3119 3440 6238 12476 15595 18839 24952 31190 37678 49904 62380 75356 94195 124760 134117 150712 188390 249520 268234 301424 376780 536468 670585 753560 810077 1072936 1341170 1507120 1620154 2145872 2682340 3240308 4050385 5364680 6480616 8100770 10729360 12961232 16201540 32403080 58758841 64806160 117517682 235035364 293794205 470070728 587588410 940141456 1175176820 2350353640 2526630163 4700707280 5053260326 10106520652 12633150815 20213041304 25266301630 40426082608 50532603260 101065206520 202130413040