Search a number
-
+
4030014130410 = 23517231632107759
BaseRepresentation
bin111010101001001111100…
…011111000100011101010
3112021021011121120111120210
4322221033203320203222
51012011432104133120
612323210221001550
7564105335623362
oct72511743704352
915237147514523
104030014130410
111314134a07024
125510636b32b6
1323304b09a408
14dd0a75c59a2
156ec6ae75ce0
hex3aa4f8f88ea

4030014130410 has 128 divisors (see below), whose sum is σ = 10751801794560. Its totient is φ = 961542337536.

The previous prime is 4030014130381. The next prime is 4030014130463. The reversal of 4030014130410 is 140314100304.

It is a super-3 number, since 3×40300141304103 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858111 + ... + 2965869.

It is an arithmetic number, because the mean of its divisors is an integer number (83998451520).

Almost surely, 24030014130410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4030014130410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375900897280).

4030014130410 is an abundant number, since it is smaller than the sum of its proper divisors (6721787664150).

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

4030014130410 is a wasteful number, since it uses less digits than its factorization.

4030014130410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107972.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4030014130410 its reverse (140314100304), we get a palindrome (4170328230714).

The spelling of 4030014130410 in words is "four trillion, thirty billion, fourteen million, one hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 163 170 230 255 326 345 391 489 510 690 782 815 978 1173 1630 1955 2346 2445 2771 3749 3910 4890 5542 5865 7498 8313 11247 11730 13855 16626 18745 22494 27710 37490 41565 56235 63733 83130 112470 127466 191199 318665 382398 637330 955995 1911990 2107759 4215518 6323277 10538795 12646554 21077590 31616385 35831903 48478457 63232770 71663806 96956914 107495709 145435371 179159515 214991418 242392285 290870742 343564717 358319030 484784570 537478545 687129434 727176855 824133769 1030694151 1074957090 1454353710 1648267538 1717823585 2061388302 2472401307 3435647170 4120668845 4944802614 5153470755 5840600189 7901988491 8241337690 10306941510 11681200378 12362006535 15803976982 17521800567 23705965473 24724013070 29203000945 35043601134 39509942455 47411930946 58406001890 79019884910 87609002835 118529827365 134333804347 175218005670 237059654730 268667608694 403001413041 671669021735 806002826082 1343338043470 2015007065205 4030014130410