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4041020424 = 2337103347673
BaseRepresentation
bin1111000011011101…
…0001010000001000
3101102121220002220010
43300313101100020
531234000123144
61504553031520
7202066051440
oct36067212010
911377802803
104041020424
111794061501
129493b55a0
134c528485c
142a4991120
15189b795b9
hexf0dd1408

4041020424 has 128 divisors (see below), whose sum is σ = 11708835840. Its totient is φ = 1138378752.

The previous prime is 4041020413. The next prime is 4041020437. The reversal of 4041020424 is 4240201404.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4041020424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6004152 + ... + 6004824.

It is an arithmetic number, because the mean of its divisors is an integer number (91475280).

Almost surely, 24041020424 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 4041020424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854417920).

4041020424 is an abundant number, since it is smaller than the sum of its proper divisors (7667815416).

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

4041020424 is a wasteful number, since it uses less digits than its factorization.

4041020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4041020424 is about 63569.0209457405. The cubic root of 4041020424 is about 1592.8089297792.

Adding to 4041020424 its reverse (4240201404), we get a palindrome (8281221828).

The spelling of 4041020424 in words is "four billion, forty-one million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 347 412 618 673 694 721 824 1041 1236 1346 1388 1442 2019 2082 2163 2429 2472 2692 2776 2884 4038 4164 4326 4711 4858 5384 5768 7287 8076 8328 8652 9422 9716 14133 14574 16152 17304 18844 19432 28266 29148 35741 37688 56532 58296 69319 71482 107223 113064 138638 142964 207957 214446 233531 250187 277276 285928 415914 428892 467062 485233 500374 554552 700593 750561 831828 857784 934124 970466 1000748 1401186 1455699 1501122 1634717 1663656 1868248 1940932 2001496 2802372 2911398 3002244 3269434 3881864 4904151 5604744 5822796 6004488 6538868 9808302 11645592 13077736 19616604 24053693 39233208 48107386 72161079 96214772 144322158 168375851 192429544 288644316 336751702 505127553 577288632 673503404 1010255106 1347006808 2020510212 4041020424