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4121211450 = 235247837043
BaseRepresentation
bin1111010110100100…
…1011001000111010
3101122012210020022010
43311221023020322
531420012231300
61520535510350
7204061501506
oct36551131072
911565706263
104121211450
111825353184
129702283b6
13508a80b75
142b14a7306
15191c19a50
hexf5a4b23a

4121211450 has 96 divisors (see below), whose sum is σ = 10565323776. Its totient is φ = 1062496960.

The previous prime is 4121211449. The next prime is 4121211463. The reversal of 4121211450 is 541121214.

It is a super-2 number, since 2×41212114502 = 33968767631222205000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581629 + ... + 588671.

It is an arithmetic number, because the mean of its divisors is an integer number (110055456).

Almost surely, 24121211450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121211450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282661888).

4121211450 is an abundant number, since it is smaller than the sum of its proper divisors (6444112326).

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

4121211450 is a wasteful number, since it uses less digits than its factorization.

4121211450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 4121211450 is about 64196.6622964154. The cubic root of 4121211450 is about 1603.2760285803.

Adding to 4121211450 its reverse (541121214), we get a palindrome (4662332664).

The spelling of 4121211450 in words is "four billion, one hundred twenty-one million, two hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 83 94 141 150 166 235 249 282 415 470 498 705 830 1175 1245 1410 2075 2350 2490 3525 3901 4150 6225 7043 7050 7802 11703 12450 14086 19505 21129 23406 35215 39010 42258 58515 70430 97525 105645 117030 176075 195050 211290 292575 331021 352150 528225 584569 585150 662042 993063 1056450 1169138 1655105 1753707 1986126 2922845 3310210 3507414 4965315 5845690 8275525 8768535 9930630 14614225 16551050 17537070 24826575 27474743 29228450 43842675 49653150 54949486 82424229 87685350 137373715 164848458 274747430 412121145 686868575 824242290 1373737150 2060605725 4121211450