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4114194672 = 243723095303
BaseRepresentation
bin1111010100111001…
…1010000011110000
3101121201120202002110
43311032122003300
531411213212142
61520125245320
7203645035440
oct36516320360
911551522073
104114194672
1118213a0395
12969a03840
13507495123
142b059c120
151912d099c
hexf539a0f0

4114194672 has 80 divisors (see below), whose sum is σ = 12154222080. Its totient is φ = 1174753536.

The previous prime is 4114194671. The next prime is 4114194677. The reversal of 4114194672 is 2764914114.

4114194672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41141946722 = 33853195598226375168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4114194672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114194671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773173 + ... + 778475.

It is an arithmetic number, because the mean of its divisors is an integer number (151927776).

Almost surely, 24114194672 is an apocalyptic number.

4114194672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4114194672 is an abundant number, since it is smaller than the sum of its proper divisors (8040027408).

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

4114194672 is a wasteful number, since it uses less digits than its factorization.

4114194672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7624 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 4114194672 is about 64141.9883695540. The cubic root of 4114194672 is about 1602.3655986573.

The spelling of 4114194672 in words is "four billion, one hundred fourteen million, one hundred ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2309 4618 5303 6927 9236 10606 13854 15909 16163 18472 21212 27708 31818 32326 36944 37121 42424 48489 55416 63636 64652 74242 84848 96978 110832 111363 127272 129304 148484 193956 222726 254544 258608 296968 387912 445452 593936 775824 890904 1781808 12244627 24489254 36733881 48978508 73467762 85712389 97957016 146935524 171424778 195914032 257137167 293871048 342849556 514274334 587742096 685699112 1028548668 1371398224 2057097336 4114194672