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42301422432 = 2532514728537
BaseRepresentation
bin100111011001010111…
…000111101101100000
311001012001120220120100
4213121113013231200
51143113131004212
631233310142400
73025161105123
oct473127075540
9131161526510
1042301422432
1116a38060855
1282467b1a00
133cb1b04c99
1420940ca3ba
151178a89bdc
hex9d95c7b60

42301422432 has 72 divisors (see below), whose sum is σ = 120322258056. Its totient is φ = 14097240576.

The previous prime is 42301422421. The next prime is 42301422461. The reversal of 42301422432 is 23422410324.

42301422432 is a `hidden beast` number, since 4 + 230 + 1 + 422 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×423014224323 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42301422396 and 42301422405.

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 11 ways as a sum of consecutive naturals, for example, 1468068 + ... + 1496604.

It is an arithmetic number, because the mean of its divisors is an integer number (1671142473).

Almost surely, 242301422432 is an apocalyptic number.

It is an amenable number.

42301422432 is an abundant number, since it is smaller than the sum of its proper divisors (78020835624).

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

42301422432 is a wasteful number, since it uses less digits than its factorization.

42301422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33700 (or 33689 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42301422432 its reverse (23422410324), we get a palindrome (65723832756).

The spelling of 42301422432 in words is "forty-two billion, three hundred one million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5147 10294 15441 20588 28537 30882 41176 46323 57074 61764 82352 85611 92646 114148 123528 164704 171222 185292 228296 247056 256833 342444 370584 456592 494112 513666 684888 741168 913184 1027332 1369776 1482336 2054664 2739552 4109328 8218656 146879939 293759878 440639817 587519756 881279634 1175039512 1321919451 1762559268 2350079024 2643838902 3525118536 4700158048 5287677804 7050237072 10575355608 14100474144 21150711216 42301422432