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424048416100 = 2252651192
BaseRepresentation
bin1100010101110110100…
…00010101010101100100
31111112112122220111002121
412022323100111111210
523421422343303400
6522445525115324
742431213031211
oct6127320252544
91445478814077
10424048416100
11153924304351
126a224b58b44
1330cab989b5a
141674a002b08
15b06cca021a
hex62bb415564

424048416100 has 27 divisors (see below), whose sum is σ = 920199193977. Its totient is φ = 169616761680.

The previous prime is 424048416097. The next prime is 424048416131. The reversal of 424048416100 is 1614840424.

The square root of 424048416100 is 651190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 152657429796 + 271390986304 = 390714^2 + 520952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6479341 + ... + 6544459.

Almost surely, 2424048416100 is an apocalyptic number.

424048416100 is the 651190-th square number.

It is an amenable number.

424048416100 is an abundant number, since it is smaller than the sum of its proper divisors (496150777877).

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

424048416100 is an frugal number, since it uses more digits than its factorization.

424048416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130252 (or 65126 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 424048416100 in words is "four hundred twenty-four billion, forty-eight million, four hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 65119 130238 260476 325595 651190 1302380 1627975 3255950 6511900 4240484161 8480968322 16961936644 21202420805 42404841610 84809683220 106012104025 212024208050 424048416100