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321224230320040 = 235232511391062837
BaseRepresentation
bin100100100001001101101100…
…0001001000011011110101000
31120010100201212220201222220001
41021002123120021003132220
5314100414210430220130
63055104212454512344
7124442453610523345
oct11102333011033650
91503321786658801
10321224230320040
1193396481798733
123003b4a89656b4
1310a31412c11718
14594749b24d7cc
152720ba57196ca
hex12426d82437a8

321224230320040 has 64 divisors (see below), whose sum is σ = 757183323980160. Its totient is φ = 122413529568000.

The previous prime is 321224230320011. The next prime is 321224230320041. The reversal of 321224230320040 is 40023032422123.

It is a super-2 number, since 2×3212242303200402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321224230319990 and 321224230320008.

It is not an unprimeable number, because it can be changed into a prime (321224230320041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695300499 + ... + 695762338.

It is an arithmetic number, because the mean of its divisors is an integer number (11830989437190).

Almost surely, 2321224230320040 is an apocalyptic number.

It is an amenable number.

321224230320040 is an abundant number, since it is smaller than the sum of its proper divisors (435959093660120).

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

321224230320040 is a wasteful number, since it uses less digits than its factorization.

321224230320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391063122 (or 1391063118 counting only the distinct ones).

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

Adding to 321224230320040 its reverse (40023032422123), we get a palindrome (361247262742163).

The spelling of 321224230320040 in words is "three hundred twenty-one trillion, two hundred twenty-four billion, two hundred thirty million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 251 460 502 920 1004 1255 2008 2510 5020 5773 10040 11546 23092 28865 46184 57730 115460 230920 1391062837 2782125674 5564251348 6955314185 11128502696 13910628370 27821256740 31994445251 55642513480 63988890502 127977781004 159972226255 255955562008 319944452510 349156772087 639888905020 698313544174 1279777810040 1396627088348 1745783860435 2793254176696 3491567720870 6983135441740 8030605758001 13966270883480 16061211516002 32122423032004 40153028790005 64244846064008 80306057580010 160612115160020 321224230320040