Search a number
-
+
241014400401200 = 2452896770067427
BaseRepresentation
bin110110110011001110001001…
…101110001011111100110000
31011121100202021221212200010112
4312303032021232023330300
5223042234443000314300
62212332253110520452
7101523500343461336
oct6663161156137460
91147322257780115
10241014400401200
116a8816a6880928
1223046257066128
13a46373938311a
144373232c89b56
151cce50e897e35
hexdb3389b8bf30

241014400401200 has 60 divisors (see below), whose sum is σ = 585543131847720. Its totient is φ = 95322549358080.

The previous prime is 241014400401197. The next prime is 241014400401221. The reversal of 241014400401200 is 2104004410142.

It is a super-2 number, since 2×2410144004012002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3384998114 + ... + 3385069313.

It is an arithmetic number, because the mean of its divisors is an integer number (9759052197462).

Almost surely, 2241014400401200 is an apocalyptic number.

241014400401200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241014400401200 is an abundant number, since it is smaller than the sum of its proper divisors (344528731446520).

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

241014400401200 is a wasteful number, since it uses less digits than its factorization.

241014400401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770067534 (or 6770067523 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 241014400401200 its reverse (2104004410142), we get a palindrome (243118404811342).

The spelling of 241014400401200 in words is "two hundred forty-one trillion, fourteen billion, four hundred million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 7120 8900 17800 35600 6770067427 13540134854 27080269708 33850337135 54160539416 67700674270 108321078832 135401348540 169251685675 270802697080 338503371350 541605394160 602536001003 677006742700 1205072002006 1354013485400 2410144004012 2708026970800 3012680005015 4820288008024 6025360010030 9640576016048 12050720020060 15063400025075 24101440040120 30126800050150 48202880080240 60253600100300 120507200200600 241014400401200