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42303320105004 = 223271741477336991
BaseRepresentation
bin10011001111001100000100…
…10111100010000000101100
312112210011021010001200212200
421213212002113202000230
521021044144421330004
6225545513231501500
711624212464643530
oct1147460227420054
9175704233050780
1042303320105004
111252a812399192
1248b2800387890
131a7b25575bbba
14a636c4ddbbc0
154d5616acd239
hex2679825e202c

42303320105004 has 576 divisors, whose sum is σ = 135578833108992. Its totient is φ = 10845724262400.

The previous prime is 42303320104949. The next prime is 42303320105009. The reversal of 42303320105004 is 40050102330324.

42303320105004 is a `hidden beast` number, since 4 + 230 + 3 + 320 + 105 + 0 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (42303320105009) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6051107949 + ... + 6051114939.

It is an arithmetic number, because the mean of its divisors is an integer number (235379918592).

Almost surely, 242303320105004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42303320105004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67789416554496).

42303320105004 is an abundant number, since it is smaller than the sum of its proper divisors (93275513003988).

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

42303320105004 is a wasteful number, since it uses less digits than its factorization.

42303320105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 42303320105004 its reverse (40050102330324), we get a palindrome (82353422435328).

The spelling of 42303320105004 in words is "forty-two trillion, three hundred three billion, three hundred twenty million, one hundred five thousand, four".