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1041234144111 = 327292281249853
BaseRepresentation
bin11110010011011100110…
…01000010101101101111
310200112121101201222102200
433021232121002231233
5114024421420102421
62114200353152543
7135140516123430
oct17115631025557
93615541658380
101041234144111
11371648590747
1214996b25b753
1377259c38895
14385788b1487
151c141780726
hexf26e642b6f

1041234144111 has 48 divisors (see below), whose sum is σ = 1778920503360. Its totient is φ = 574219860480.

The previous prime is 1041234144109. The next prime is 1041234144113. The reversal of 1041234144111 is 1114414321401.

1041234144111 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 234 + 14 + 411 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1041234144109) and next prime (1041234144113).

It is not a de Polignac number, because 1041234144111 - 21 = 1041234144109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041234144113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4042461 + ... + 4292313.

It is an arithmetic number, because the mean of its divisors is an integer number (37060843820).

Almost surely, 21041234144111 is an apocalyptic number.

1041234144111 is a deficient number, since it is larger than the sum of its proper divisors (737686359249).

1041234144111 is a wasteful number, since it uses less digits than its factorization.

1041234144111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252176 (or 252173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1041234144111 its reverse (1114414321401), we get a palindrome (2155648465512).

The spelling of 1041234144111 in words is "one trillion, forty-one billion, two hundred thirty-four million, one hundred forty-four thousand, one hundred eleven".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 2281 6843 15967 20529 47901 66149 143703 198447 249853 463043 595341 749559 1389129 1748971 2248677 4167387 5246913 7245737 15740739 21737211 50720159 65211633 152160477 456481431 569914693 1709744079 3989402851 5129232237 11968208553 16527526097 35904625659 49582578291 115692682679 148747734873 347078048037 1041234144111