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1411336331141 = 1121011913971523
BaseRepresentation
bin10100100010011010001…
…100110101111110000101
311222220220110022002022012
4110202122030311332011
5141110404100044031
63000205311344005
7203652141610112
oct24423214657605
94886813262265
101411336331141
114a45a9624700
121a9639822005
13a311c40cc19
144c448029909
1526aa34d7b2b
hex1489a335f85

1411336331141 has 48 divisors (see below), whose sum is σ = 1579869010944. Its totient is φ = 1259668080000.

The previous prime is 1411336331107. The next prime is 1411336331177.

1411336331141 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1411336331141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1411336331098 and 1411336331107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411336331191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926681006 + ... + 926682528.

It is an arithmetic number, because the mean of its divisors is an integer number (32913937728).

Almost surely, 21411336331141 is an apocalyptic number.

1411336331141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1411336331141 is a deficient number, since it is larger than the sum of its proper divisors (168532679803).

1411336331141 is a wasteful number, since it uses less digits than its factorization.

1411336331141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2223 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The spelling of 1411336331141 in words is "one trillion, four hundred eleven billion, three hundred thirty-six million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 11 101 121 191 397 1111 1523 2101 4367 12221 16753 19291 23111 40097 48037 75827 153823 184283 212201 290893 441067 604631 834097 1692053 2334211 3199823 4851737 6650941 7658527 9175067 18612583 29380193 35198053 61067731 73160351 84243797 115484521 323182123 671745041 926681767 1270329731 3555003353 7389195451 11663936621 13973627041 128303302831 1411336331141