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13442114420 = 2257223557773
BaseRepresentation
bin11001000010011011…
…00110001101110100
31021200210201011102122
430201031212031310
5210012140130140
610101503055112
7654052041650
oct144115461564
937623634378
1013442114420
1157787a5579
1227318a1498
131362b6a377
14917373a60
1553a183ab5
hex321366374

13442114420 has 96 divisors (see below), whose sum is σ = 32505919488. Its totient is φ = 4573896192.

The previous prime is 13442114339. The next prime is 13442114431. The reversal of 13442114420 is 2441124431.

It is a self number, because there is not a number n which added to its sum of digits gives 13442114420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17389154 + ... + 17389926.

It is an arithmetic number, because the mean of its divisors is an integer number (338603328).

Almost surely, 213442114420 is an apocalyptic number.

13442114420 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 13442114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252959744).

13442114420 is an abundant number, since it is smaller than the sum of its proper divisors (19063805068).

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

13442114420 is a wasteful number, since it uses less digits than its factorization.

13442114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13442114420 its reverse (2441124431), we get a palindrome (15883238851).

It can be divided in two parts, 134421 and 14420, that added together give a palindrome (148841).

The spelling of 13442114420 in words is "thirteen billion, four hundred forty-two million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 557 773 892 1114 1115 1546 1561 2228 2230 2785 3092 3122 3865 3899 4460 5411 5570 6244 7730 7798 7805 10822 11140 15460 15596 15610 19495 21644 27055 31220 38990 54110 77980 108220 124211 172379 248422 344758 430561 496844 621055 689516 861122 861895 869477 1206653 1242110 1722244 1723790 1738954 2152805 2413306 2484220 3013927 3447580 3477908 4305610 4347385 4826612 6027854 6033265 8611220 8694770 12055708 12066530 15069635 17389540 24133060 30139270 60278540 96015103 192030206 384060412 480075515 672105721 960151030 1344211442 1920302060 2688422884 3360528605 6721057210 13442114420