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420132231024 = 24311795704983
BaseRepresentation
bin1100001110100011101…
…01010001011101110000
31111011102201220200002220
412013101311101131300
523340412322343044
6521001151441040
742232161020052
oct6072165213560
91434381820086
10420132231024
111521a4767560
1269511526180
133080653308c
1416497c698d2
15adde084019
hex61d1d51770

420132231024 has 40 divisors (see below), whose sum is σ = 1184009016192. Its totient is φ = 127312797120.

The previous prime is 420132231017. The next prime is 420132231059.

It is a happy number.

420132231024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4201322310242 (a number of 24 digits) contains 22 as substring.

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 = 420132230985 and 420132231003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 397851964 + ... + 397853019.

Almost surely, 2420132231024 is an apocalyptic number.

420132231024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420132231024 is an abundant number, since it is smaller than the sum of its proper divisors (763876785168).

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

420132231024 is a wasteful number, since it uses less digits than its factorization.

420132231024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795705005 (or 795704999 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 420132 and 231024, that added together give a palindrome (651156).

The spelling of 420132231024 in words is "four hundred twenty billion, one hundred thirty-two million, two hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 795704983 1591409966 2387114949 3182819932 4774229898 6365639864 8752754813 9548459796 12731279728 17505509626 19096919592 26258264439 35011019252 38193839184 52516528878 70022038504 105033057756 140044077008 210066115512 420132231024