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1042311200224 = 2579834733647
BaseRepresentation
bin11110010101011101001…
…01101011110111100000
310200122101110102002122211
433022232211223313200
5114034123131401344
62114455310211504
7135206305006630
oct17125645536740
93618343362584
101042311200224
11372050554968
1214a00bab3b94
137739c1151a8
143863b95a6c0
151c1a60d3334
hexf2ae96bde0

1042311200224 has 48 divisors (see below), whose sum is σ = 2347586454528. Its totient is φ = 446250275712.

The previous prime is 1042311200137. The next prime is 1042311200239. The reversal of 1042311200224 is 4220021132401.

It is a super-2 number, since 2×10423112002242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042311200195 and 1042311200204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2146632 + ... + 2587015.

It is an arithmetic number, because the mean of its divisors is an integer number (48908051136).

Almost surely, 21042311200224 is an apocalyptic number.

1042311200224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1042311200224 is an abundant number, since it is smaller than the sum of its proper divisors (1305275254304).

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

1042311200224 is an equidigital number, since it uses as much as digits as its factorization.

1042311200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734647 (or 4734639 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1042311200224 its reverse (4220021132401), we get a palindrome (5262332332625).

The spelling of 1042311200224 in words is "one trillion, forty-two billion, three hundred eleven million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 983 1966 3932 6881 7864 13762 15728 27524 31456 55048 110096 220192 4733647 9467294 18934588 33135529 37869176 66271058 75738352 132542116 151476704 265084232 530168464 1060336928 4653175001 9306350002 18612700004 32572225007 37225400008 65144450014 74450800016 130288900028 148901600032 260577800056 521155600112 1042311200224