Search a number
-
+
32123214421344 = 253337179646321
BaseRepresentation
bin1110100110111010001001…
…10010001101110101100000
311012201221122001012202002000
413103131010302031311200
513202301320342440334
6152153111224524000
76523553125242414
oct723350462156540
9135657561182060
1032123214421344
11a2654190aa322
12372983b620600
1314c028ab08637
147d0ab4042d44
153aa8ea058299
hex1d3744c8dd60

32123214421344 has 48 divisors (see below), whose sum is σ = 93692708731440. Its totient is φ = 10707738140160.

The previous prime is 32123214421343. The next prime is 32123214421373. The reversal of 32123214421344 is 44312441232123.

32123214421344 is a `hidden beast` number, since 3 + 2 + 12 + 3 + 214 + 421 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 junction number, because it is equal to n+sod(n) for n = 32123214421299 and 32123214421308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32123214421343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18589822297 + ... + 18589824024.

It is an arithmetic number, because the mean of its divisors is an integer number (1951931431905).

Almost surely, 232123214421344 is an apocalyptic number.

It is an amenable number.

32123214421344 is an abundant number, since it is smaller than the sum of its proper divisors (61569494310096).

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

32123214421344 is a wasteful number, since it uses less digits than its factorization.

32123214421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37179646340 (or 37179646326 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 32123214421344 its reverse (44312441232123), we get a palindrome (76435655653467).

The spelling of 32123214421344 in words is "thirty-two trillion, one hundred twenty-three billion, two hundred fourteen million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 37179646321 74359292642 111538938963 148718585284 223077877926 297437170568 334616816889 446155755852 594874341136 669233633778 892311511704 1003850450667 1189748682272 1338467267556 1784623023408 2007700901334 2676934535112 3569246046816 4015401802668 5353869070224 8030803605336 10707738140448 16061607210672 32123214421344