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13544104440 = 2335791428703
BaseRepresentation
bin11001001110100101…
…01010000111111000
31021221220121210102210
430213102222013320
5210214242320230
610115545055120
7656430662646
oct144722520770
937856553383
1013544104440
115820326149
12275ba874a0
13137b0298a9
14926b22196
155440cceb0
hex3274aa1f8

13544104440 has 64 divisors (see below), whose sum is σ = 41146675200. Its totient is φ = 3566040192.

The previous prime is 13544104411. The next prime is 13544104481. The reversal of 13544104440 is 4440144531.

13544104440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13544104398 and 13544104407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704872 + ... + 723831.

It is an arithmetic number, because the mean of its divisors is an integer number (642916800).

Almost surely, 213544104440 is an apocalyptic number.

13544104440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13544104440 is an abundant number, since it is smaller than the sum of its proper divisors (27602570760).

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

13544104440 is a wasteful number, since it uses less digits than its factorization.

13544104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428796 (or 1428792 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 13544104440 its reverse (4440144531), we get a palindrome (17984248971).

The spelling of 13544104440 in words is "thirteen billion, five hundred forty-four million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 1428703 2857406 4286109 5714812 7143515 8572218 11429624 14287030 17144436 21430545 28574060 34288872 42861090 57148120 85722180 112867537 171444360 225735074 338602611 451470148 564337685 677205222 902940296 1128675370 1354410444 1693013055 2257350740 2708820888 3386026110 4514701480 6772052220 13544104440