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42022422024 = 23311214470531
BaseRepresentation
bin100111001000101110…
…110100011000001000
311000110121121012221220
4213020232310120020
51142030220001044
631145502202040
73015232456632
oct471056643010
9130417535856
1042022422024
111690461a700
128189283320
133c6907a59b
142069021a52
15115e328019
hex9c8bb4608

42022422024 has 48 divisors (see below), whose sum is σ = 115474845360. Its totient is φ = 12734066400.

The previous prime is 42022422017. The next prime is 42022422049.

42022422024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42022421985 and 42022422003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7232362 + ... + 7238169.

It is an arithmetic number, because the mean of its divisors is an integer number (2405725945).

Almost surely, 242022422024 is an apocalyptic number.

42022422024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42022422024 is an abundant number, since it is smaller than the sum of its proper divisors (73452423336).

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

42022422024 is a wasteful number, since it uses less digits than its factorization.

42022422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470562 (or 14470547 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 42022422024 in words is "forty-two billion, twenty-two million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 14470531 28941062 43411593 57882124 86823186 115764248 159175841 173646372 318351682 347292744 477527523 636703364 955055046 1273406728 1750934251 1910110092 3501868502 3820220184 5252802753 7003737004 10505605506 14007474008 21011211012 42022422024