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1311411000004 = 227216374087277
BaseRepresentation
bin10011000101010110001…
…011111101001011000100
311122100222111011022110221
4103011112023331023010
5132441232204000004
62442242012554124
7163513662402100
oct23052613751304
94570874138427
101311411000004
11466191359406
121921b0a82944
1396886215151
1447688c84900
15241a5aec354
hex131562fd2c4

1311411000004 has 36 divisors (see below), whose sum is σ = 2671289584236. Its totient is φ = 561689817024.

The previous prime is 1311410999971. The next prime is 1311411000037. The reversal of 1311411000004 is 4000001141131.

It is an interprime number because it is at equal distance from previous prime (1311410999971) and next prime (1311411000037).

It can be written as a sum of positive squares in 2 ways, for example, as 390575001600 + 920835998404 = 624960^2 + 959602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722787 + ... + 2364490.

It is an arithmetic number, because the mean of its divisors is an integer number (74202488451).

Almost surely, 21311411000004 is an apocalyptic number.

1311411000004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311411000004 is an abundant number, since it is smaller than the sum of its proper divisors (1359878584232).

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

1311411000004 is a wasteful number, since it uses less digits than its factorization.

1311411000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088932 (or 4088923 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1311411000004 its reverse (4000001141131), we get a palindrome (5311412141135).

The spelling of 1311411000004 in words is "one trillion, three hundred eleven billion, four hundred eleven million, four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 49 98 196 1637 3274 6548 11459 22918 45836 80213 160426 320852 4087277 8174554 16349108 28610939 57221878 114443756 200276573 400553146 801106292 6690872449 13381744898 26763489796 46836107143 93672214286 187344428572 327852750001 655705500002 1311411000004