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4011030540 = 22325114347111
BaseRepresentation
bin1110111100010011…
…0111100000001100
3101100112110110111200
43233010313200030
531203310434130
61502002145500
7201253124406
oct35704674014
911315413450
104011030540
111779138680
1293b352290
134bbcb436a
142a09c5b76
15187203760
hexef13780c

4011030540 has 144 divisors (see below), whose sum is σ = 13581824256. Its totient is φ = 949737600.

The previous prime is 4011030521. The next prime is 4011030553. The reversal of 4011030540 is 450301104.

It is a happy number.

4011030540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61585 + ... + 108695.

It is an arithmetic number, because the mean of its divisors is an integer number (94318224).

Almost surely, 24011030540 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 4011030540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790912128).

4011030540 is an abundant number, since it is smaller than the sum of its proper divisors (9570793716).

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

4011030540 is a wasteful number, since it uses less digits than its factorization.

4011030540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47180 (or 47175 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4011030540 is about 63332.6972424197. The cubic root of 4011030540 is about 1588.8588703113.

Adding to 4011030540 its reverse (450301104), we get a palindrome (4461331644).

The spelling of 4011030540 in words is "four billion, eleven million, thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 47111 85140 94222 141333 188444 235555 282666 423999 471110 518221 565332 706665 847998 942220 1036442 1413330 1554663 1695996 2025773 2072884 2119995 2591105 2826660 3109326 4051546 4239990 4663989 5182210 6077319 6218652 7773315 8103092 8479980 9327978 10128865 10364420 12154638 15546630 18231957 18655956 20257730 22283503 23319945 24309276 30386595 31093260 36463914 40515460 44567006 46639890 60773190 66850509 72927828 89134012 91159785 93279780 111417515 121546380 133701018 182319570 200551527 222835030 267402036 334252545 364639140 401103054 445670060 668505090 802206108 1002757635 1337010180 2005515270 4011030540