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4111124304 = 243727872221
BaseRepresentation
bin1111010100001010…
…1100011101010000
3101121111210202100010
43311002230131100
531404421434204
61515535354520
7203606660100
oct36502543520
911544722303
104111124304
11181a6935a1
12968982a40
1350695b741
142adddd200
15190dc5d89
hexf50ac750

4111124304 has 120 divisors (see below), whose sum is σ = 12375615648. Its totient is φ = 1172586240.

The previous prime is 4111124291. The next prime is 4111124309. The reversal of 4111124304 is 4034211114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111124309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1849914 + ... + 1852134.

Almost surely, 24111124304 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 4111124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187807824).

4111124304 is an abundant number, since it is smaller than the sum of its proper divisors (8264491344).

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

4111124304 is a wasteful number, since it uses less digits than its factorization.

4111124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4111124304 is about 64118.0497520004. The cubic root of 4111124304 is about 1601.9668915120.

Adding to 4111124304 its reverse (4034211114), we get a palindrome (8145335418).

It can be divided in two parts, 411112 and 4304, that added together give a triangular number (415416 = T911).

The spelling of 4111124304 in words is "four billion, one hundred eleven million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 787 1176 1574 2221 2352 2361 3148 4442 4722 5509 6296 6663 8884 9444 11018 12592 13326 15547 16527 17768 18888 22036 26652 31094 33054 35536 37776 38563 44072 46641 53304 62188 66108 77126 88144 93282 106608 108829 115689 124376 132216 154252 186564 217658 231378 248752 264432 308504 326487 373128 435316 462756 617008 652974 746256 870632 925512 1305948 1741264 1747927 1851024 2611896 3495854 5223792 5243781 6991708 10487562 12235489 13983416 20975124 24470978 27966832 36706467 41950248 48941956 73412934 83900496 85648423 97883912 146825868 171296846 195767824 256945269 293651736 342593692 513890538 587303472 685187384 1027781076 1370374768 2055562152 4111124304