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1141400114433 = 329719919493371
BaseRepresentation
bin10000100111000000101…
…111111001010100000001
311001010011010200111011100
4100213000233321110001
5122200041412130213
62232204005405013
7145314646615425
oct20470057712401
94033133614140
101141400114433
114000796767a7
12165264709769
1383830c493c7
143d35b9b6b85
151ea55351773
hex109c0bf9501

1141400114433 has 48 divisors (see below), whose sum is σ = 1675411920000. Its totient is φ = 748697748480.

The previous prime is 1141400114431. The next prime is 1141400114453. The reversal of 1141400114433 is 3344110041411.

1141400114433 is a `hidden beast` number, since 1 + 141 + 400 + 114 + 4 + 3 + 3 = 666.

It is not a de Polignac number, because 1141400114433 - 21 = 1141400114431 is a prime.

It is a super-2 number, since 2×11414001144332 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1141400114397 and 1141400114406.

It is not an unprimeable number, because it can be changed into a prime (1141400114431) 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 47 ways as a sum of consecutive naturals, for example, 338592238 + ... + 338595608.

It is an arithmetic number, because the mean of its divisors is an integer number (34904415000).

Almost surely, 21141400114433 is an apocalyptic number.

It is an amenable number.

1141400114433 is a deficient number, since it is larger than the sum of its proper divisors (534011805567).

1141400114433 is a wasteful number, since it uses less digits than its factorization.

1141400114433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1141400114433 its reverse (3344110041411), we get a palindrome (4485510155844).

The spelling of 1141400114433 in words is "one trillion, one hundred forty-one billion, four hundred million, one hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 9 97 199 291 597 873 1791 1949 3371 5847 10113 17541 19303 30339 57909 173727 189053 326987 387851 567159 670829 980961 1163553 1701477 2012487 2942883 3490659 6037461 6570079 19710237 37621547 59130711 65070413 112864641 195211239 338593923 585633717 637297663 1307445721 1911892989 3922337163 5735678967 11767011489 126822234937 380466704811 1141400114433