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1311252234016 = 25374703235483
BaseRepresentation
bin10011000101001100101…
…110010011111100100000
311122100120102102011111011
4103011030232103330200
5132440421032442031
62442214142030304
7163510024042354
oct23051456237440
94570512364434
101311252234016
1146610a77a14a
12192167878394
139685c36728a
1447671b57464
1524196bda6b1
hex1314cb93f20

1311252234016 has 48 divisors (see below), whose sum is σ = 2651873865984. Its totient is φ = 637768145664.

The previous prime is 1311252233983. The next prime is 1311252234029. The reversal of 1311252234016 is 6104322521131.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5450611 + ... + 5686093.

It is an arithmetic number, because the mean of its divisors is an integer number (55247372208).

Almost surely, 21311252234016 is an apocalyptic number.

1311252234016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311252234016 is an abundant number, since it is smaller than the sum of its proper divisors (1340621631968).

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

1311252234016 is a wasteful number, since it uses less digits than its factorization.

1311252234016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240233 (or 240225 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 1311252234016 its reverse (6104322521131), we get a palindrome (7415574755147).

The spelling of 1311252234016 in words is "one trillion, three hundred eleven billion, two hundred fifty-two million, two hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 4703 9406 18812 37624 75248 150496 174011 235483 348022 470966 696044 941932 1392088 1883864 2784176 3767728 5568352 7535456 8712871 17425742 34851484 69702968 139405936 278811872 1107476549 2214953098 4429906196 8859812392 17719624784 35439249568 40976632313 81953264626 163906529252 327813058504 655626117008 1311252234016