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4114634860 = 225735311317
BaseRepresentation
bin1111010101000000…
…0101100001101100
3101121202102002220201
43311100011201230
531411321303420
61520142523244
7203651551000
oct36520054154
911552362821
104114634860
111821671086
12969b96524
135075ba5ab
142b0674700
1519136b10a
hexf540586c

4114634860 has 96 divisors (see below), whose sum is σ = 10267689600. Its totient is φ = 1383992064.

The previous prime is 4114634837. The next prime is 4114634903. The reversal of 4114634860 is 684364114.

It is a super-2 number, since 2×41146348602 = 33860440062254439200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357922 + ... + 369238.

It is an arithmetic number, because the mean of its divisors is an integer number (106955100).

Almost surely, 24114634860 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 4114634860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133844800).

4114634860 is an abundant number, since it is smaller than the sum of its proper divisors (6153054740).

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

4114634860 is a wasteful number, since it uses less digits than its factorization.

4114634860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400 (or 11384 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4114634860 is about 64145.4196338289. The cubic root of 4114634860 is about 1602.4227436566.

Adding to 4114634860 its reverse (684364114), we get a palindrome (4798998974).

The spelling of 4114634860 in words is "four billion, one hundred fourteen million, six hundred thirty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 343 371 490 530 686 742 980 1060 1372 1484 1715 1855 2597 3430 3710 5194 6860 7420 10388 11317 12985 18179 22634 25970 36358 45268 51940 56585 72716 79219 90895 113170 158438 181790 226340 316876 363580 396095 554533 599801 792190 1109066 1199602 1584380 2218132 2399204 2772665 2999005 3881731 4198607 5545330 5998010 7763462 8397214 11090660 11996020 15526924 16794428 19408655 20993035 29390249 38817310 41986070 58780498 77634620 83972140 117560996 146951245 205731743 293902490 411463486 587804980 822926972 1028658715 2057317430 4114634860