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321420004032340 = 225671992341514889
BaseRepresentation
bin100100100010101000110110…
…1001010011111111101010100
31120011001110012201112000120101
41021011101231022133331110
5314112121132013013330
63055334151132543444
7124462554222602023
oct11105215512377524
91504043181460511
10321420004032340
1193461504968384
1230071425021b84
1310a46a1277c835
145952b4dd148ba
152725d12b1a4ca
hex124546d29ff54

321420004032340 has 96 divisors (see below), whose sum is σ = 688794303456000. Its totient is φ = 125958575508480.

The previous prime is 321420004032317. The next prime is 321420004032343. The reversal of 321420004032340 is 43230400024123.

It is a junction number, because it is equal to n+sod(n) for n = 321420004032299 and 321420004032308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321420004032343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623993616 + ... + 624508504.

It is an arithmetic number, because the mean of its divisors is an integer number (7174940661000).

Almost surely, 2321420004032340 is an apocalyptic number.

It is an amenable number.

321420004032340 is an abundant number, since it is smaller than the sum of its proper divisors (367374299423660).

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

321420004032340 is a wasteful number, since it uses less digits than its factorization.

321420004032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517505 (or 517503 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 321420004032340 its reverse (43230400024123), we get a palindrome (364650404056463).

The spelling of 321420004032340 in words is "three hundred twenty-one trillion, four hundred twenty billion, four million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 67 134 199 268 335 398 670 796 995 1340 1990 2341 3980 4682 9364 11705 13333 23410 26666 46820 53332 66665 133330 156847 266660 313694 465859 514889 627388 784235 931718 1029778 1568470 1863436 2059556 2329295 2574445 3136940 4658590 5148890 9317180 10297780 31212553 34497563 62425106 68995126 102462911 124850212 137990252 156062765 172487815 204925822 312125530 344975630 409851644 512314555 624251060 689951260 1024629110 1205355149 2049258220 2410710298 4821420596 6026775745 6865015037 12053551490 13730030074 24107102980 27460060148 34325075185 68650150370 80758794983 137300300740 161517589966 239865674651 323035179932 403793974915 479731349302 807587949830 959462698604 1199328373255 1615175899660 2398656746510 4797313493020 16071000201617 32142000403234 64284000806468 80355001008085 160710002016170 321420004032340