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4111412130 = 2325721496257
BaseRepresentation
bin1111010100001111…
…0010101110100010
3101121112100101011100
43311003302232202
531410010142010
61515545455230
7203612266200
oct36503625642
911545311140
104111412130
11181a86a871
12968aa1516
13506a2c757
142b0076070
15190e312c0
hexf50f2ba2

4111412130 has 144 divisors (see below), whose sum is σ = 12520380600. Its totient is φ = 933295104.

The previous prime is 4111412119. The next prime is 4111412131. The reversal of 4111412130 is 312141114.

4111412130 is a `hidden beast` number, since 411 + 1 + 41 + 213 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3655290681 + 456121449 = 60459^2 + 21357^2 .

It is a super-2 number, since 2×41114121302 = 33807419405422273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4111412131) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 653962 + ... + 660218.

Almost surely, 24111412130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111412130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260190300).

4111412130 is an abundant number, since it is smaller than the sum of its proper divisors (8408968470).

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

4111412130 is a wasteful number, since it uses less digits than its factorization.

4111412130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4111412130 is about 64120.2942132988. The cubic root of 4111412130 is about 1602.0042760106.

Adding to 4111412130 its reverse (312141114), we get a palindrome (4423553244).

The spelling of 4111412130 in words is "four billion, one hundred eleven million, four hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 149 210 245 294 298 315 441 447 490 630 735 745 882 894 1043 1341 1470 1490 2086 2205 2235 2682 3129 4410 4470 5215 6257 6258 6705 7301 9387 10430 12514 13410 14602 15645 18771 18774 21903 31285 31290 36505 37542 43799 43806 46935 56313 62570 65709 73010 87598 93855 93870 109515 112626 131397 131418 187710 218995 219030 262794 281565 306593 328545 394191 437990 563130 613186 656985 657090 788382 919779 932293 1313970 1532965 1839558 1864586 1970955 2759337 2796879 3065930 3941910 4598895 4661465 5518674 5593758 6526051 8390637 9197790 9322930 13052102 13796685 13984395 16781274 19578153 27593370 27968790 32630255 39156306 41953185 45682357 58734459 65260510 83906370 91364714 97890765 117468918 137047071 195781530 228411785 274094142 293672295 411141213 456823570 587344590 685235355 822282426 1370470710 2055706065 4111412130