Search a number
-
+
1332212234144 = 251121947385289
BaseRepresentation
bin10011011000101110000…
…010010111011110100000
311201100200011100111100012
4103120232002113132200
5133311332312443034
62500002043344052
7165151314102431
oct23305602273640
94640604314305
101332212234144
11473a96091500
12196237222028
139881c8b560c
144869d737488
15249c1d85cce
hex1362e0977a0

1332212234144 has 144 divisors (see below), whose sum is σ = 3099211113600. Its totient is φ = 561472496640.

The previous prime is 1332212234123. The next prime is 1332212234233. The reversal of 1332212234144 is 4414322122331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1332212234144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265052 + ... + 3650340.

It is an arithmetic number, because the mean of its divisors is an integer number (21522299400).

Almost surely, 21332212234144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332212234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549605556800).

1332212234144 is an abundant number, since it is smaller than the sum of its proper divisors (1766998879456).

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

1332212234144 is a wasteful number, since it uses less digits than its factorization.

1332212234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385387 (or 385368 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 1332212234144 its reverse (4414322122331), we get a palindrome (5746534356475).

The spelling of 1332212234144 in words is "one trillion, three hundred thirty-two billion, two hundred twelve million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 47 76 88 94 121 152 176 188 209 242 304 352 376 418 484 517 608 752 836 893 968 1034 1504 1672 1786 1936 2068 2299 3344 3572 3872 4136 4598 5687 6688 7144 8272 9196 9823 11374 14288 16544 18392 19646 22748 28576 36784 39292 45496 73568 78584 90992 108053 157168 181984 216106 314336 385289 432212 770578 864424 1541156 1728848 3082312 3457696 4238179 6164624 7320491 8476358 12329248 14640982 16952716 18108583 29281964 33905432 36217166 46619969 58563928 67810864 72434332 80525401 93239938 117127856 135621728 144868664 161050802 186479876 199194413 234255712 289737328 322101604 344063077 372959752 398388826 579474656 644203208 688126154 745919504 796777652 885779411 1288406416 1376252308 1491839008 1593555304 1771558822 2191138543 2576812832 2752504616 3187110608 3543117644 3784693847 4382277086 5505009232 6374221216 7086235288 7569387694 8764554172 11010018464 14172470576 15138775388 17529108344 28344941152 30277550776 35058216688 41631632317 60555101552 70116433376 83263264634 121110203104 166526529268 333053058536 666106117072 1332212234144