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210144240402404 = 227211230372917637
BaseRepresentation
bin101111110010000000000100…
…110011001111111111100100
31000120001121000102121221200212
4233302000010303033333210
5210021000401020334104
62022534533054554552
762156264115114500
oct5762000463177744
91016047012557625
10210144240402404
1160a5a743292600
121b69b440b08a58
13903469465cb29
1439c706d5d3300
15194650211436e
hexbf2004ccffe4

210144240402404 has 108 divisors (see below), whose sum is σ = 470374438476348. Its totient is φ = 81847392359040.

The previous prime is 210144240402389. The next prime is 210144240402457. The reversal of 210144240402404 is 404204042441012.

It can be written as a sum of positive squares in 2 ways, for example, as 180382305699904 + 29761934702500 = 13430648^2 + 5455450^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70566674 + ... + 73484310.

It is an arithmetic number, because the mean of its divisors is an integer number (4355318874781).

Almost surely, 2210144240402404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210144240402404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235187219238174).

210144240402404 is an abundant number, since it is smaller than the sum of its proper divisors (260230198073944).

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

210144240402404 is a wasteful number, since it uses less digits than its factorization.

210144240402404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920714 (or 2920694 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 210144240402404 its reverse (404204042441012), we get a palindrome (614348282843416).

The spelling of 210144240402404 in words is "two hundred ten trillion, one hundred forty-four billion, two hundred forty million, four hundred two thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3037 3388 5929 6074 11858 12148 21259 23716 33407 42518 66814 85036 133628 148813 233849 297626 367477 467698 595252 734954 935396 1469908 1636943 2572339 2917637 3273886 5144678 5835274 6547772 10289356 11670548 18006373 20423459 32094007 36012746 40846918 64188014 72025492 81693836 128376028 142964213 224658049 285928426 353034077 449316098 571856852 706068154 898632196 1412136308 1572606343 2471238539 3145212686 4942477078 6290425372 8860863569 9884954156 17298669773 17721727138 34597339546 35443454276 62026044983 69194679092 97469499259 124052089966 194938998518 248104179932 389877997036 434182314881 682286494813 868364629762 1072164491849 1364572989626 1736729259524 2144328983698 2729145979252 4288657967396 4776005463691 7505151442943 9552010927382 15010302885886 19104021854764 30020605771772 52536060100601 105072120201202 210144240402404