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321440410420340 = 225292512729809087
BaseRepresentation
bin100100100010110010010110…
…1011110101100010001110100
31120011010101212212201221100112
41021011210231132230101310
5314112434430031422330
63055351404100402152
7124464206011204421
oct11105445536542164
91504111785657315
10321440410420340
119346a126825752
123007537b0a6358
1310a489153c4533
145953b28184d48
1527266093ac795
hex124592d7ac474

321440410420340 has 96 divisors (see below), whose sum is σ = 701341427404800. Its totient is φ = 123602450048000.

The previous prime is 321440410420249. The next prime is 321440410420397. The reversal of 321440410420340 is 43024014044123.

It is a junction number, because it is equal to n+sod(n) for n = 321440410420297 and 321440410420306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396883277 + ... + 397692363.

It is an arithmetic number, because the mean of its divisors is an integer number (7305639868800).

Almost surely, 2321440410420340 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 321440410420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350670713702400).

321440410420340 is an abundant number, since it is smaller than the sum of its proper divisors (379901016984460).

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

321440410420340 is a wasteful number, since it uses less digits than its factorization.

321440410420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812105 (or 812103 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 321440410420340 its reverse (43024014044123), we get a palindrome (364464424464463).

The spelling of 321440410420340 in words is "three hundred twenty-one trillion, four hundred forty billion, four hundred ten million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 251 290 502 580 1004 1255 2510 2729 5020 5458 7279 10916 13645 14558 27290 29116 36395 54580 72790 79141 145580 158282 316564 395705 684979 791410 809087 1369958 1582820 1618174 2739916 3236348 3424895 4045435 6849790 8090870 13699580 16181740 19864391 23463523 39728782 46927046 79457564 93854092 99321955 117317615 198643910 203080837 234635230 397287820 406161674 469270460 812323348 1015404185 2030808370 2207998423 4061616740 4415996846 5889344273 8831993692 11039992115 11778688546 22079984230 23557377092 29446721365 44159968460 58893442730 64031954267 117786885460 128063908534 256127817068 320159771335 554207604173 640319542670 1108415208346 1280639085340 2216830416692 2771038020865 5542076041730 11084152083460 16072020521017 32144041042034 64288082084068 80360102605085 160720205210170 321440410420340