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241413040 = 24511274333
BaseRepresentation
bin11100110001110…
…10101110110000
3121211021001102201
432120322232300
5443300204130
635542152544
75660656051
oct1630725660
9554231381
10241413040
111142a9210
1268a22754
133b02706b
14240c2728
15162d9bca
hexe63abb0

241413040 has 40 divisors (see below), whose sum is σ = 612313488. Its totient is φ = 87786240.

The previous prime is 241413017. The next prime is 241413041. The reversal of 241413040 is 40314142.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2414130403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241412999 and 241413017.

It is not an unprimeable number, because it can be changed into a prime (241413041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136287 + ... + 138046.

Almost surely, 2241413040 is an apocalyptic number.

241413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241413040 is an abundant number, since it is smaller than the sum of its proper divisors (370900448).

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

241413040 is a wasteful number, since it uses less digits than its factorization.

241413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274357 (or 274351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 241413040 is about 15537.4721238688. The cubic root of 241413040 is about 622.6637386943.

Adding to 241413040 its reverse (40314142), we get a palindrome (281727182).

The spelling of 241413040 in words is "two hundred forty-one million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 274333 548666 1097332 1371665 2194664 2743330 3017663 4389328 5486660 6035326 10973320 12070652 15088315 21946640 24141304 30176630 48282608 60353260 120706520 241413040