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42330244203324 = 223271115270650867
BaseRepresentation
bin10011001111111110001110…
…01010110100001100111100
312112212201202111111121101100
421213333013022310030330
521022014320004001244
6230010125024413100
711626154625003150
oct1147770712641474
9175781674447340
1042330244203324
111254017933a810
1248b7a75177190
131a809567b591c
14a64b1ab23060
154d619066db69
hex267fc72b433c

42330244203324 has 72 divisors (see below), whose sum is σ = 133404405982848. Its totient is φ = 10994868623520.

The previous prime is 42330244203311. The next prime is 42330244203337.

42330244203324 is a `hidden beast` number, since 4 + 2 + 3 + 302 + 4 + 4 + 20 + 3 + 324 = 666.

42330244203324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42330244203311) and next prime (42330244203337).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7635322662 + ... + 7635328205.

It is an arithmetic number, because the mean of its divisors is an integer number (1852838971984).

Almost surely, 242330244203324 is an apocalyptic number.

42330244203324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42330244203324 is an abundant number, since it is smaller than the sum of its proper divisors (91074161779524).

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

42330244203324 is a wasteful number, since it uses less digits than its factorization.

42330244203324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15270650895 (or 15270650890 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4233024 and 4203324, that added together give a palindrome (8436348).

The spelling of 42330244203324 in words is "forty-two trillion, three hundred thirty billion, two hundred forty-four million, two hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 15270650867 30541301734 45811952601 61082603468 91623905202 106894556069 137435857803 167977159537 183247810404 213789112138 274871715606 320683668207 335954319074 427578224276 503931478611 549743431212 641367336414 671908638148 962051004621 1007862957222 1175840116759 1282734672828 1511794435833 1924102009242 2015725914444 2351680233518 3023588871666 3527520350277 3848204018484 4703360467036 6047177743332 7055040700554 10582561050831 14110081401108 21165122101662 42330244203324