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241220432432420 = 225714321120313043
BaseRepresentation
bin110110110110001110000010…
…001100000000110100100100
31011122002110002200111021212122
4312312032002030000310210
5223104123421200314140
62213011045320205112
7101544413121032240
oct6666160214006444
91148073080437778
10241220432432420
116a9510135603a1
122307a176909798
13a479cb22a472c
14437d1ba117420
151cd4a6c680ab5
hexdb6382300d24

241220432432420 has 48 divisors (see below), whose sum is σ = 578969467832448. Its totient is φ = 82698372549120.

The previous prime is 241220432432411. The next prime is 241220432432429. The reversal of 241220432432420 is 24234234022142.

It is an interprime number because it is at equal distance from previous prime (241220432432411) and next prime (241220432432429).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (241220432432429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58151582 + ... + 62161461.

It is an arithmetic number, because the mean of its divisors is an integer number (12061863913176).

Almost surely, 2241220432432420 is an apocalyptic number.

241220432432420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241220432432420 is an abundant number, since it is smaller than the sum of its proper divisors (337749035400028).

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

241220432432420 is a wasteful number, since it uses less digits than its factorization.

241220432432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120327380 (or 120327378 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 241220432432420 its reverse (24234234022142), we get a palindrome (265454666454562).

The spelling of 241220432432420 in words is "two hundred forty-one trillion, two hundred twenty billion, four hundred thirty-two million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 14321 28642 57284 71605 100247 143210 200494 286420 400988 501235 1002470 2004940 120313043 240626086 481252172 601565215 842191301 1203130430 1684382602 2406260860 3368765204 4210956505 8421913010 16843826020 1723003088803 3446006177606 6892012355212 8615015444015 12061021621621 17230030888030 24122043243242 34460061776060 48244086486484 60305108108105 120610216216210 241220432432420