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23442000042033 = 333128007168509
BaseRepresentation
bin1010101010010000001000…
…00101011101100000110001
310002000000220021210100111000
411111020010011131200301
511033033204002321113
6121505034532312213
74636425420446106
oct525100405354061
9102000807710430
1023442000042033
11751877298a351
122767272472669
131010756994a41
145b0855390aad
152a9ba837a373
hex15520415d831

23442000042033 has 16 divisors (see below), whose sum is σ = 35849175692800. Its totient is φ = 15123870994320.

The previous prime is 23442000041959. The next prime is 23442000042089. The reversal of 23442000042033 is 33024000024432.

23442000042033 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 200 + 0 + 0 + 420 + 33 = 666.

It is not a de Polignac number, because 23442000042033 - 213 = 23442000033841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23442000041988 and 23442000042006.

It is not an unprimeable number, because it can be changed into a prime (23442000047033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14003583418 + ... + 14003585091.

It is an arithmetic number, because the mean of its divisors is an integer number (2240573480800).

Almost surely, 223442000042033 is an apocalyptic number.

It is an amenable number.

23442000042033 is a deficient number, since it is larger than the sum of its proper divisors (12407175650767).

23442000042033 is a wasteful number, since it uses less digits than its factorization.

23442000042033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28007168549 (or 28007168543 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 23442000042033 its reverse (33024000024432), we get a palindrome (56466000066465).

The spelling of 23442000042033 in words is "twenty-three trillion, four hundred forty-two billion, forty-two thousand, thirty-three".

Divisors: 1 3 9 27 31 93 279 837 28007168509 84021505527 252064516581 756193549743 868222223779 2604666671337 7814000014011 23442000042033