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1311014440 = 235196128279
BaseRepresentation
bin100111000100100…
…0111111000101000
310101100220102201101
41032021013320220
510141104430230
6334031331144
744326303351
oct11611077050
93340812641
101311014440
1161304060a
12307080ab4
1317b7c34b8
14c618ad28
157a168aca
hex4e247e28

1311014440 has 64 divisors (see below), whose sum is σ = 3156048000. Its totient is φ = 488643840.

The previous prime is 1311014431. The next prime is 1311014443. The reversal of 1311014440 is 444101131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1311014443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32221 + ... + 60499.

It is an arithmetic number, because the mean of its divisors is an integer number (49313250).

Almost surely, 21311014440 is an apocalyptic number.

1311014440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578024000).

1311014440 is an abundant number, since it is smaller than the sum of its proper divisors (1845033560).

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

1311014440 is a wasteful number, since it uses less digits than its factorization.

1311014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28370 (or 28366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1311014440 is about 36207.9333848260. The cubic root of 1311014440 is about 1094.4665472177.

Adding to 1311014440 its reverse (444101131), we get a palindrome (1755115571).

The spelling of 1311014440 in words is "one billion, three hundred eleven million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 190 244 305 380 488 610 760 1159 1220 2318 2440 4636 5795 9272 11590 23180 28279 46360 56558 113116 141395 226232 282790 537301 565580 1074602 1131160 1725019 2149204 2686505 3450038 4298408 5373010 6900076 8625095 10746020 13800152 17250190 21492040 32775361 34500380 65550722 69000760 131101444 163876805 262202888 327753610 655507220 1311014440