Search a number
-
+
422144434332 = 2232371372313323
BaseRepresentation
bin1100010010010011100…
…01001110000010011100
31111100121222020012010100
412021021301032002130
523404022433344312
6521532552141100
742333063326025
oct6111161160234
91440558205110
10422144434332
111530375896a5
1269993397790
1330a67390b1a
14166091bdc4c
15aeaaa575dc
hex6249c4e09c

422144434332 has 72 divisors (see below), whose sum is σ = 1103927466096. Its totient is φ = 135912294144.

The previous prime is 422144434303. The next prime is 422144434339. The reversal of 422144434332 is 233434441224.

422144434332 is a `hidden beast` number, since 4 + 2 + 214 + 4 + 4 + 3 + 433 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422144434339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974178 + ... + 1339145.

It is an arithmetic number, because the mean of its divisors is an integer number (15332325918).

Almost surely, 2422144434332 is an apocalyptic number.

It is an amenable number.

422144434332 is an abundant number, since it is smaller than the sum of its proper divisors (681783031764).

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

422144434332 is a wasteful number, since it uses less digits than its factorization.

422144434332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313507 (or 2313502 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 422144434332 its reverse (233434441224), we get a palindrome (655578875556).

The spelling of 422144434332 in words is "four hundred twenty-two billion, one hundred forty-four million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 137 148 222 274 333 411 444 548 666 822 1233 1332 1644 2466 4932 5069 10138 15207 20276 30414 45621 60828 91242 182484 2313323 4626646 6939969 9253292 13879938 20819907 27759876 41639814 83279628 85592951 171185902 256778853 316925251 342371804 513557706 633850502 770336559 950775753 1027115412 1267701004 1540673118 1901551506 2852327259 3081346236 3803103012 5704654518 11409309036 11726234287 23452468574 35178702861 46904937148 70357405722 105536108583 140714811444 211072217166 422144434332