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13402000440 = 2332537227779
BaseRepresentation
bin11000111101101001…
…00100110000111000
31021121000020011101200
430132310210300320
5204421403003230
610053511214200
7653054060403
oct143664446070
937530204350
1013402000440
115758097324
122720377360
13135776399a
14911cd0d3a
155368ad160
hex31ed24c38

13402000440 has 48 divisors (see below), whose sum is σ = 43556502600. Its totient is φ = 3573866688.

The previous prime is 13402000393. The next prime is 13402000453. The reversal of 13402000440 is 4400020431.

It is a super-2 number, since 2×134020004402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 18613530 + ... + 18614249.

Almost surely, 213402000440 is an apocalyptic number.

13402000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402000440 is an abundant number, since it is smaller than the sum of its proper divisors (30154502160).

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

13402000440 is a wasteful number, since it uses less digits than its factorization.

13402000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37227796 (or 37227789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13402000440 its reverse (4400020431), we get a palindrome (17802020871).

The spelling of 13402000440 in words is "thirteen billion, four hundred two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 37227779 74455558 111683337 148911116 186138895 223366674 297822232 335050011 372277790 446733348 558416685 670100022 744555580 893466696 1116833370 1340200044 1489111160 1675250055 2233666740 2680400088 3350500110 4467333480 6701000220 13402000440