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420144112300 = 225211778949037
BaseRepresentation
bin1100001110100101000…
…10100110001010101100
31111011110120021022011011
412013102202212022230
523340423343043200
6521002254235004
742232364013253
oct6072242461254
91434416238134
10420144112300
111522004420a0
12695154b5a64
1330808b33013
141649967d79a
15ade012e5ba
hex61d28a62ac

420144112300 has 72 divisors (see below), whose sum is σ = 994743676080. Its totient is φ = 152756947200.

The previous prime is 420144112273. The next prime is 420144112301. The reversal of 420144112300 is 3211441024.

It is a happy number.

It is a super-2 number, since 2×4201441123002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (420144112301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8543382 + ... + 8592418.

It is an arithmetic number, because the mean of its divisors is an integer number (13815884390).

Almost surely, 2420144112300 is an apocalyptic number.

It is an amenable number.

420144112300 is an abundant number, since it is smaller than the sum of its proper divisors (574599563780).

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

420144112300 is a wasteful number, since it uses less digits than its factorization.

420144112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56851 (or 56844 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 420144112300 its reverse (3211441024), we get a palindrome (423355553324).

The spelling of 420144112300 in words is "four hundred twenty billion, one hundred forty-four million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 7789 15578 31156 38945 49037 77890 85679 98074 155780 171358 194725 196148 245185 342716 389450 428395 490370 539407 778900 856790 980740 1078814 1225925 1713580 2141975 2157628 2451850 2697035 4283950 4903700 5394070 8567900 10788140 13485175 26970350 53940700 381949193 763898386 1527796772 1909745965 3819491930 4201441123 7638983860 8402882246 9548729825 16805764492 19097459650 21007205615 38194919300 42014411230 84028822460 105036028075 210072056150 420144112300