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1141140034032 = 243181191687679
BaseRepresentation
bin10000100110110001001…
…111110001000111110000
311001002111000022000220220
4100212301033301013300
5122144023322042112
62232122115133040
7145305341150505
oct20466117610760
94032430260826
101141140034032
113aaa55888519
121651b15a4180
13837bc0b768b
143d3352354ac
151ea3c5ca98c
hex109b13f11f0

1141140034032 has 80 divisors (see below), whose sum is σ = 2979755950080. Its totient is φ = 376297401600.

The previous prime is 1141140034019. The next prime is 1141140034051. The reversal of 1141140034032 is 2304300411411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1141140033993 and 1141140034011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1315569 + ... + 2003247.

It is an arithmetic number, because the mean of its divisors is an integer number (37246949376).

Almost surely, 21141140034032 is an apocalyptic number.

1141140034032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141140034032 is an abundant number, since it is smaller than the sum of its proper divisors (1838615916048).

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

1141140034032 is a wasteful number, since it uses less digits than its factorization.

1141140034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688062 (or 688056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1141140034032 its reverse (2304300411411), we get a palindrome (3445440445443).

The spelling of 1141140034032 in words is "one trillion, one hundred forty-one billion, one hundred forty million, thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 191 362 382 543 573 724 764 1086 1146 1448 1528 2172 2292 2896 3056 4344 4584 8688 9168 34571 69142 103713 138284 207426 276568 414852 553136 687679 829704 1375358 1659408 2063037 2750716 4126074 5501432 8252148 11002864 16504296 33008592 124469899 131346689 248939798 262693378 373409697 394040067 497879596 525386756 746819394 788080134 995759192 1050773512 1493638788 1576160268 1991518384 2101547024 2987277576 3152320536 5974555152 6304641072 23773750709 47547501418 71321252127 95095002836 142642504254 190190005672 285285008508 380380011344 570570017016 1141140034032