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241220200049400 = 233521113193741103947
BaseRepresentation
bin110110110110001101110100…
…010101100010101011111000
31011122002102111111020000022010
4312312031310111202223320
5223104122432203040100
62213011010255325520
7101544404266562565
oct6666156425425370
91148072444200263
10241220200049400
116a950a0436a610
122307a110b208a0
13a479c760bc8a0
14437d19730586c
151cd4a5707b750
hexdb6374562af8

241220200049400 has 3072 divisors, whose sum is σ = 983392258867200. Its totient is φ = 48020594688000.

The previous prime is 241220200049399. The next prime is 241220200049417. The reversal of 241220200049400 is 4940002022142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 254720379727 + ... + 254720380673.

It is an arithmetic number, because the mean of its divisors is an integer number (320114667600).

Almost surely, 2241220200049400 is an apocalyptic number.

241220200049400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241220200049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491696129433600).

241220200049400 is an abundant number, since it is smaller than the sum of its proper divisors (742172058817800).

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

241220200049400 is a wasteful number, since it uses less digits than its factorization.

241220200049400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 241220200049400 in words is "two hundred forty-one trillion, two hundred twenty billion, two hundred million, forty-nine thousand, four hundred".