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1141002444420 = 223256338902469
BaseRepresentation
bin10000100110101001000…
…010111001111010000100
311001002010102101202110100
4100212221002321322010
5122143233111210140
62232100322124100
7145302050516556
oct20465102717204
94032112352410
101141002444420
113aa9951523a3
121651734b0630
13837997424c7
143d320c5b4d6
151ea3049d530
hex109a90b9e84

1141002444420 has 36 divisors (see below), whose sum is σ = 3461040748620. Its totient is φ = 304267318464.

The previous prime is 1141002444403. The next prime is 1141002444431. The reversal of 1141002444420 is 244442001411.

It is a happy number.

1141002444420 is a `hidden beast` number, since 1 + 1 + 410 + 0 + 244 + 4 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156716223876 + 984286220544 = 395874^2 + 992112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3169451055 + ... + 3169451414.

It is an arithmetic number, because the mean of its divisors is an integer number (96140020795).

Almost surely, 21141002444420 is an apocalyptic number.

1141002444420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141002444420 is an abundant number, since it is smaller than the sum of its proper divisors (2320038304200).

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

1141002444420 is a wasteful number, since it uses less digits than its factorization.

1141002444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338902484 (or 6338902479 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1141002444420 its reverse (244442001411), we get a palindrome (1385444445831).

The spelling of 1141002444420 in words is "one trillion, one hundred forty-one billion, two million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6338902469 12677804938 19016707407 25355609876 31694512345 38033414814 57050122221 63389024690 76066829628 95083537035 114100244442 126778049380 190167074070 228200488884 285250611105 380334148140 570501222210 1141002444420