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1141040133312 = 26334717126563
BaseRepresentation
bin10000100110101011010…
…010101011010011000000
311001002020001022112220020
4100212223102223103000
5122143322233231222
62232104150013440
7145303016050662
oct20465322532300
94032201275806
101141040133312
113aaa04454642
12165184047280
13837a44aa121
143d325c6c532
151ea3394565c
hex109ab4ab4c0

1141040133312 has 56 divisors (see below), whose sum is σ = 3027702490176. Its totient is φ = 379250588928.

The previous prime is 1141040133301. The next prime is 1141040133319. The reversal of 1141040133312 is 2133310401411.

It is a happy number.

It is a super-3 number, since 3×11410401333123 (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1141040133319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8496658 + ... + 8629905.

It is an arithmetic number, because the mean of its divisors is an integer number (54066115896).

Almost surely, 21141040133312 is an apocalyptic number.

1141040133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141040133312 is an abundant number, since it is smaller than the sum of its proper divisors (1886662356864).

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

1141040133312 is a wasteful number, since it uses less digits than its factorization.

1141040133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126925 (or 17126915 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1141040133312 its reverse (2133310401411), we get a palindrome (3274350534723).

The spelling of 1141040133312 in words is "one trillion, one hundred forty-one billion, forty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1388 2082 2776 4164 5552 8328 11104 16656 22208 33312 66624 17126563 34253126 51379689 68506252 102759378 137012504 205518756 274025008 411037512 548050016 822075024 1096100032 1644150048 3288300096 5942917361 11885834722 17828752083 23771669444 35657504166 47543338888 71315008332 95086677776 142630016664 190173355552 285260033328 380346711104 570520066656 1141040133312