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1144200410001 = 33113852526633
BaseRepresentation
bin10000101001100111101…
…010001011001110010001
311001101101021221020112000
4100221213222023032101
5122221310301110001
62233345521424213
7145444232004435
oct20514752131621
94041337836460
101144200410001
11401286336260
1216590649b069
1383b8914b02c
143d5458769c5
151eb6b0e8a86
hex10a67a8b391

1144200410001 has 16 divisors (see below), whose sum is σ = 1849212784320. Its totient is φ = 693454793760.

The previous prime is 1144200409981. The next prime is 1144200410027. The reversal of 1144200410001 is 1000140024411.

1144200410001 is a `hidden beast` number, since 11 + 44 + 200 + 410 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1144200410001 - 27 = 1144200409873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144200410201) by changing a digit.

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, 1926263020 + ... + 1926263613.

It is an arithmetic number, because the mean of its divisors is an integer number (115575799020).

Almost surely, 21144200410001 is an apocalyptic number.

1144200410001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1144200410001 is a deficient number, since it is larger than the sum of its proper divisors (705012374319).

1144200410001 is a wasteful number, since it uses less digits than its factorization.

1144200410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852526653 (or 3852526647 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1144200410001 its reverse (1000140024411), we get a palindrome (2144340434412).

The spelling of 1144200410001 in words is "one trillion, one hundred forty-four billion, two hundred million, four hundred ten thousand, one".

Divisors: 1 3 9 11 27 33 99 297 3852526633 11557579899 34672739697 42377792963 104018219091 127133378889 381400136667 1144200410001