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1042034440224 = 25334061318679
BaseRepresentation
bin11110010100111100001…
…01111011100000100000
310200121200011122020022110
433022132011323200200
5114033041304041344
62114412022235320
7135166404412311
oct17123605734040
93617604566273
101042034440224
11371a19303a98
12149b53285b40
137735699348b
1438612cb6608
151c18bb653b9
hexf29e17b820

1042034440224 has 48 divisors (see below), whose sum is σ = 2735429296320. Its totient is φ = 347333525760.

The previous prime is 1042034440207. The next prime is 1042034440241. The reversal of 1042034440224 is 4220444302401.

It is an interprime number because it is at equal distance from previous prime (1042034440207) and next prime (1042034440241).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10420344402242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042034440191 and 1042034440200.

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, 3110517 + ... + 3429195.

It is an arithmetic number, because the mean of its divisors is an integer number (56988110340).

Almost surely, 21042034440224 is an apocalyptic number.

It is an amenable number.

1042034440224 is an abundant number, since it is smaller than the sum of its proper divisors (1693394856096).

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

1042034440224 is a wasteful number, since it uses less digits than its factorization.

1042034440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352753 (or 352745 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1042034440224 its reverse (4220444302401), we get a palindrome (5262478742625).

The spelling of 1042034440224 in words is "one trillion, forty-two billion, thirty-four million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34061 68122 102183 136244 204366 272488 318679 408732 544976 637358 817464 956037 1089952 1274716 1634928 1912074 2549432 3269856 3824148 5098864 7648296 10197728 15296592 30593184 10854525419 21709050838 32563576257 43418101676 65127152514 86836203352 130254305028 173672406704 260508610056 347344813408 521017220112 1042034440224