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41422331322324 = 22323180534609063
BaseRepresentation
bin10010110101100011000110…
…10110000001111111010100
312102122221021111020112001100
421122301203112001333110
520412130413304303244
6224033053432430100
711503443661565541
oct1132614326017724
9172587244215040
1041422331322324
1112220126176347
12478bb12b48330
131a1615586a214
14a32bcc86dbc8
154bc753604b69
hex25ac63581fd4

41422331322324 has 72 divisors (see below), whose sum is σ = 108097521039872. Its totient is φ = 13360380200640.

The previous prime is 41422331322277. The next prime is 41422331322347. The reversal of 41422331322324 is 42322313322414.

41422331322324 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 2 + 3 + 3 + 1 + 322 + 324 = 666.

41422331322324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 6682617 + ... + 11291679.

Almost surely, 241422331322324 is an apocalyptic number.

It is an amenable number.

41422331322324 is an abundant number, since it is smaller than the sum of its proper divisors (66675189717548).

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

41422331322324 is a wasteful number, since it uses less digits than its factorization.

41422331322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617157 (or 4617152 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 41422331322324 its reverse (42322313322414), we get a palindrome (83744644644738).

The spelling of 41422331322324 in words is "forty-one trillion, four hundred twenty-two billion, three hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 8053 16106 24159 32212 48318 72477 96636 144954 249643 289908 499286 748929 998572 1497858 2246787 2995716 4493574 4609063 8987148 9218126 13827189 18436252 27654378 41481567 55308756 82963134 142880953 165926268 285761906 428642859 571523812 857285718 1285928577 1714571436 2571857154 5143714308 37116784339 74233568678 111350353017 148467137356 222700706034 334051059051 445401412068 668102118102 1150620314509 1336204236204 2301240629018 3451860943527 4602481258036 6903721887054 10355582830581 13807443774108 20711165661162 41422331322324