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4114835136 = 263219736263
BaseRepresentation
bin1111010101000011…
…0110011011000000
3101121202210021122100
43311100312123000
531411344211021
61520151110400
7203653343616
oct36520663300
911552707570
104114835136
1118217985a5
1296a072400
1350765a7b9
142b06c76b6
151913aa626
hexf54366c0

4114835136 has 84 divisors (see below), whose sum is σ = 11854629072. Its totient is φ = 1364611584.

The previous prime is 4114835099. The next prime is 4114835161. The reversal of 4114835136 is 6315384114.

4114835136 is a `hidden beast` number, since 41 + 1 + 483 + 5 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4114835136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95341 + ... + 131603.

Almost surely, 24114835136 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 4114835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927314536).

4114835136 is an abundant number, since it is smaller than the sum of its proper divisors (7739793936).

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

4114835136 is a wasteful number, since it uses less digits than its factorization.

4114835136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36478 (or 36465 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4114835136 is about 64146.9807239593. The cubic root of 4114835136 is about 1602.4487420438.

The spelling of 4114835136 in words is "four billion, one hundred fourteen million, eight hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 197 288 394 576 591 788 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 12608 14184 18912 28368 36263 37824 56736 72526 108789 113472 145052 217578 290104 326367 435156 580208 652734 870312 1160416 1305468 1740624 2320832 2610936 3481248 5221872 6962496 7143811 10443744 14287622 20887488 21431433 28575244 42862866 57150488 64294299 85725732 114300976 128588598 171451464 228601952 257177196 342902928 457203904 514354392 685805856 1028708784 1371611712 2057417568 4114835136