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42022211222024 = 2311974922939459
BaseRepresentation
bin10011000111000000011101…
…11110001111101000001000
312111210021200011002211220022
421203200032332033220020
521001442442033101044
6225212423132520012
711565001365604115
oct1143401676175010
9174707604084808
1042022211222024
11124315797997a0
124868229620008
131a5a8a6666c57
14a53c58bad90c
154cd162b4c3ee
hex26380ef8fa08

42022211222024 has 32 divisors (see below), whose sum is σ = 86840652074400. Its totient is φ = 18904087518720.

The previous prime is 42022211221993. The next prime is 42022211222081.

42022211222024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42022211221984 and 42022211222002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2461461194 + ... + 2461478265.

It is an arithmetic number, because the mean of its divisors is an integer number (2713770377325).

Almost surely, 242022211222024 is an apocalyptic number.

42022211222024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42022211222024 is an abundant number, since it is smaller than the sum of its proper divisors (44818440852376).

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

42022211222024 is a wasteful number, since it uses less digits than its factorization.

42022211222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922939573 (or 4922939569 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 4202221 and 1222024, that added together give a palindrome (5424245).

The spelling of 42022211222024 in words is "forty-two trillion, twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 4268 8536 4922939459 9845878918 19691757836 39383515672 54152334049 108304668098 216609336196 433218672392 477525127523 955050255046 1910100510092 3820201020184 5252776402753 10505552805506 21011105611012 42022211222024