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321420311230144 = 2672959941301943
BaseRepresentation
bin100100100010101000111111…
…1011110010111011011000000
31120011001111000010120021201211
41021011101333132113123000
5314112122244133331034
63055334241425135504
7124462564643000320
oct11105217736273300
91504044003507654
10321420311230144
1193461652308665
12300714aba8a594
1310a46a612ca899
145952b7ca3d280
152725d2ea9bd64
hex124547f7976c0

321420311230144 has 112 divisors (see below), whose sum is σ = 755329951872000. Its totient is φ = 132779465634816.

The previous prime is 321420311230129. The next prime is 321420311230153. The reversal of 321420311230144 is 441032113024123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3214203112301442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12868764 + ... + 28433179.

Almost surely, 2321420311230144 is an apocalyptic number.

It is an amenable number.

321420311230144 is an abundant number, since it is smaller than the sum of its proper divisors (433909640641856).

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

321420311230144 is a wasteful number, since it uses less digits than its factorization.

321420311230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41302590 (or 41302580 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 321420311230144 its reverse (441032113024123), we get a palindrome (762452424254267).

The spelling of 321420311230144 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred eleven million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 599 812 928 1198 1624 1856 2396 3248 4193 4792 6496 8386 9584 12992 16772 17371 19168 33544 34742 38336 67088 69484 121597 134176 138968 243194 268352 277936 486388 555872 972776 1111744 1945552 3891104 7782208 41301943 82603886 165207772 289113601 330415544 578227202 660831088 1156454404 1197756347 1321662176 2312908808 2395512694 2643324352 4625817616 4791025388 8384294429 9251635232 9582050776 16768588858 18503270464 19164101552 24739863857 33537177716 38328203104 49479727714 67074355432 76656406208 98959455428 134148710864 173179046999 197918910856 268297421728 346358093998 395837821712 536594843456 692716187996 717456051853 791675643424 1385432375992 1434912103706 1583351286848 2770864751984 2869824207412 5022192362971 5541729503968 5739648414824 10044384725942 11083459007936 11479296829648 20088769451884 22958593659296 40177538903768 45917187318592 80355077807536 160710155615072 321420311230144