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1042441101432 = 2332194211180959
BaseRepresentation
bin11110010101101100101…
…01001110000001111000
310200122201111211202121200
433022312111032001320
5114034404410221212
62114520230334200
7135212443106433
oct17126625160170
93618644752550
101042441101432
11372107909635
1214a0474ba360
13773bccc7a03
1438650cd281a
151c1b26e26dc
hexf2b654e078

1042441101432 has 96 divisors (see below), whose sum is σ = 2972593728000. Its totient is φ = 329111933760.

The previous prime is 1042441101419. The next prime is 1042441101587. The reversal of 1042441101432 is 2341011442401.

1042441101432 is a `hidden beast` number, since 104 + 2 + 4 + 411 + 0 + 143 + 2 = 666.

1042441101432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10424411014322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042441101396 and 1042441101405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5670169 + ... + 5851127.

It is an arithmetic number, because the mean of its divisors is an integer number (30964518000).

Almost surely, 21042441101432 is an apocalyptic number.

1042441101432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042441101432 is an abundant number, since it is smaller than the sum of its proper divisors (1930152626568).

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

1042441101432 is a wasteful number, since it uses less digits than its factorization.

1042441101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185201 (or 185194 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1042441101432 its reverse (2341011442401), we get a palindrome (3383452543833).

The spelling of 1042441101432 in words is "one trillion, forty-two billion, four hundred forty-one million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 4211 8422 12633 16844 25266 33688 37899 50532 75798 80009 101064 151596 160018 180959 240027 303192 320036 361918 480054 542877 640072 720081 723836 960108 1085754 1440162 1447672 1628631 1920216 2171508 2880324 3257262 3438221 4343016 5760648 6514524 6876442 10314663 13029048 13752884 20629326 27505768 30943989 41258652 61887978 82517304 123775956 247551912 762018349 1524036698 2286055047 3048073396 4572110094 6096146792 6858165141 9144220188 13716330282 14478348631 18288440376 27432660564 28956697262 43435045893 54865321128 57913394524 86870091786 115826789048 130305137679 173740183572 260610275358 347480367144 521220550716 1042441101432