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321404212321140 = 223513461893832283
BaseRepresentation
bin100100100010100001011111…
…1111001111001101101110100
31120010222221110011121222021210
41021011002333321321231310
5314111341311323234030
63055323020133441420
7124461455000350464
oct11105027771715564
91503887404558253
10321404212321140
1193455840956a93
123006a3584a0270
1310a45396bc3620
1459520928c1ba4
1527256db569bb0
hex12450bfe79b74

321404212321140 has 96 divisors (see below), whose sum is σ = 971259611769216. Its totient is φ = 78943267146240.

The previous prime is 321404212321139. The next prime is 321404212321193. The reversal of 321404212321140 is 41123212404123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 321404212321098 and 321404212321107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446556562 + ... + 447275721.

It is an arithmetic number, because the mean of its divisors is an integer number (10117287622596).

Almost surely, 2321404212321140 is an apocalyptic number.

321404212321140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321404212321140 is an abundant number, since it is smaller than the sum of its proper divisors (649855399448076).

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

321404212321140 is a wasteful number, since it uses less digits than its factorization.

321404212321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893832769 (or 893832767 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 321404212321140 its reverse (41123212404123), we get a palindrome (362527424725263).

The spelling of 321404212321140 in words is "three hundred twenty-one trillion, four hundred four billion, two hundred twelve million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 461 780 922 1383 1844 2305 2766 4610 5532 5993 6915 9220 11986 13830 17979 23972 27660 29965 35958 59930 71916 89895 119860 179790 359580 893832283 1787664566 2681496849 3575329132 4469161415 5362993698 8938322830 10725987396 11619819679 13407484245 17876645660 23239639358 26814968490 34859459037 46479278716 53629936980 58099098395 69718918074 116198196790 139437836148 174297295185 232396393580 348594590370 412056682463 697189180740 824113364926 1236170047389 1648226729852 2060283412315 2472340094778 4120566824630 4944680189556 5356736872019 6180850236945 8241133649260 10713473744038 12361700473890 16070210616057 21426947488076 24723400947780 26783684360095 32140421232114 53567368720190 64280842464228 80351053080285 107134737440380 160702106160570 321404212321140