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42104300224 = 267743126491
BaseRepresentation
bin100111001101100111…
…001010001011000000
311000200022200001201211
4213031213022023000
51142212200101344
631201545135504
73020245434610
oct471547121300
9130608601654
1042104300224
1116946863a38
1281b078a594
133c8001781c
142075c56a40
1511665ed334
hex9cd9ca2c0

42104300224 has 56 divisors (see below), whose sum is σ = 95615808768. Its totient is φ = 18020271360.

The previous prime is 42104300201. The next prime is 42104300233. The reversal of 42104300224 is 42200340124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 42104300195 and 42104300204.

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, 269619 + ... + 396109.

Almost surely, 242104300224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47807904384).

42104300224 is an abundant number, since it is smaller than the sum of its proper divisors (53511508544).

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

42104300224 is a wasteful number, since it uses less digits than its factorization.

42104300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127253 (or 127243 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42104300224 its reverse (42200340124), we get a palindrome (84304640348).

The spelling of 42104300224 in words is "forty-two billion, one hundred four million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 743 1486 2972 5201 5944 10402 11888 20804 23776 41608 47552 83216 126491 166432 252982 332864 505964 885437 1011928 1770874 2023856 3541748 4047712 7083496 8095424 14166992 28333984 56667968 93982813 187965626 375931252 657879691 751862504 1315759382 1503725008 2631518764 3007450016 5263037528 6014900032 10526075056 21052150112 42104300224