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321410040013044 = 223229307864023001
BaseRepresentation
bin100100100010100100001101…
…1010000110010000011110100
31120011000111111022110101200200
41021011020123100302003310
5314111440230220404134
63055325422313240500
7124462052263045053
oct11105103320620364
91504014438411620
10321410040013044
1193458261499194
123006b504103130
1310a45ab537c628
14595248687a39a
15272592ceb8499
hex124521b4320f4

321410040013044 has 36 divisors (see below), whose sum is σ = 840468782795460. Its totient is φ = 103442311728000.

The previous prime is 321410040012937. The next prime is 321410040013093. The reversal of 321410040013044 is 440310040014123.

321410040013044 is a `hidden beast` number, since 3 + 21 + 4 + 100 + 400 + 130 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 275741368233444 + 45668671779600 = 16605462^2 + 6757860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 321410040012999 and 321410040013017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153932010457 + ... + 153932012544.

Almost surely, 2321410040013044 is an apocalyptic number.

It is an amenable number.

321410040013044 is an abundant number, since it is smaller than the sum of its proper divisors (519058742782416).

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

321410040013044 is a wasteful number, since it uses less digits than its factorization.

321410040013044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307864023040 (or 307864023035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 321410040013044 its reverse (440310040014123), we get a palindrome (761720080027167).

The spelling of 321410040013044 in words is "three hundred twenty-one trillion, four hundred ten billion, forty million, thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 307864023001 615728046002 923592069003 1231456092004 1847184138006 2770776207009 3694368276012 5541552414018 8928056667029 11083104828036 17856113334058 26784170001087 35712226668116 53568340002174 80352510003261 107136680004348 160705020006522 321410040013044