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4003244140 = 22572191631319
BaseRepresentation
bin1110111010011100…
…1010100001101100
3101022222210212120111
43232213022201230
531144312303030
61501123225404
7201130004500
oct35647124154
911288725514
104003244140
1117747aa635
12938818264
134ba4b921c
1429d95a300
151866b662a
hexee9ca86c

4003244140 has 144 divisors (see below), whose sum is σ = 10365062400. Its totient is φ = 1291344768.

The previous prime is 4003244123. The next prime is 4003244173. The reversal of 4003244140 is 414423004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3034401 + ... + 3035719.

It is an arithmetic number, because the mean of its divisors is an integer number (71979600).

Almost surely, 24003244140 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 4003244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182531200).

4003244140 is an abundant number, since it is smaller than the sum of its proper divisors (6361818260).

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

4003244140 is a wasteful number, since it uses less digits than its factorization.

4003244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4003244140 is about 63271.1951839066. The cubic root of 4003244140 is about 1587.8300819404.

Adding to 4003244140 its reverse (414423004), we get a palindrome (4417667144).

The spelling of 4003244140 in words is "four billion, three million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 163 190 196 245 266 326 380 490 532 652 665 815 931 980 1141 1319 1330 1630 1862 2282 2638 2660 3097 3260 3724 4564 4655 5276 5705 6194 6595 7987 9233 9310 11410 12388 13190 15485 15974 18466 18620 21679 22820 25061 26380 30970 31948 36932 39935 43358 46165 50122 61940 64631 79870 86716 92330 100244 108395 125305 129262 151753 159740 175427 184660 214997 216790 250610 258524 303506 323155 350854 429994 433580 501220 607012 646310 701708 758765 859988 877135 1074985 1227989 1292620 1504979 1517530 1754270 2149970 2455978 3009958 3035060 3508540 4084943 4299940 4911956 6019916 6139945 7524895 8169886 10534853 12279890 15049790 16339772 20424715 21069706 24559780 28594601 30099580 40849430 42139412 52674265 57189202 81698860 105348530 114378404 142973005 200162207 210697060 285946010 400324414 571892020 800648828 1000811035 2001622070 4003244140