Search a number
-
+
4320131412348 = 223419701775733
BaseRepresentation
bin111110110111011011111…
…001011111000101111100
3120022000000101102102210000
4332313123321133011330
51031240112120143343
613104350241114300
7624055612054653
oct76673371370574
916260011372700
104320131412348
111416180613a34
1259932b328990
132545045c354b
1410d149db419a
157759abe1ed3
hex3eddbe5f17c

4320131412348 has 60 divisors (see below), whose sum is σ = 11888080933960. Its totient is φ = 1364252023008.

The previous prime is 4320131412347. The next prime is 4320131412419. The reversal of 4320131412348 is 8432141310234.

4320131412348 is a `hidden beast` number, since 4 + 3 + 201 + 3 + 1 + 412 + 34 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320131412347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 350881711 + ... + 350894022.

Almost surely, 24320131412348 is an apocalyptic number.

It is an amenable number.

4320131412348 is an abundant number, since it is smaller than the sum of its proper divisors (7567949521612).

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

4320131412348 is a wasteful number, since it uses less digits than its factorization.

4320131412348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701775768 (or 701775757 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4320131412348 in words is "four trillion, three hundred twenty billion, one hundred thirty-one million, four hundred twelve thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 701775733 1403551466 2105327199 2807102932 4210654398 6315981597 8421308796 12631963194 13333738927 18947944791 25263926388 26667477854 37895889582 40001216781 53334955708 56843834373 75791779164 80002433562 113687668746 120003650343 160004867124 227375337492 240007300686 360010951029 480014601372 720021902058 1080032853087 1440043804116 2160065706174 4320131412348