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13444324434 = 237109163173
BaseRepresentation
bin11001000010101100…
…00001110001010010
31021200221212110000000
430201112001301102
5210013221340214
610102022310430
7654106605102
oct144126016122
937627773000
1013444324434
115779a74a32
122732588416
131363462278
1491778b202
1553a46d809
hex321581c52

13444324434 has 128 divisors (see below), whose sum is σ = 30887366400. Its totient is φ = 4387576896.

The previous prime is 13444324417. The next prime is 13444324441. The reversal of 13444324434 is 43442344431.

13444324434 is a `hidden beast` number, since 1 + 344 + 43 + 244 + 34 = 666.

It is a super-3 number, since 3×134443244343 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77712772 + ... + 77712944.

It is an arithmetic number, because the mean of its divisors is an integer number (241307550).

Almost surely, 213444324434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444324434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443683200).

13444324434 is an abundant number, since it is smaller than the sum of its proper divisors (17443041966).

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

13444324434 is a wasteful number, since it uses less digits than its factorization.

13444324434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 13444324434 its reverse (43442344431), we get a palindrome (56886668865).

The spelling of 13444324434 in words is "thirteen billion, four hundred forty-four million, three hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 163 173 218 243 326 327 346 486 489 519 654 729 978 981 1038 1458 1467 1557 1962 2187 2934 2943 3114 4374 4401 4671 5886 8802 8829 9342 13203 14013 17658 17767 18857 26406 26487 28026 28199 35534 37714 39609 42039 52974 53301 56398 56571 79218 79461 84078 84597 106602 113142 118827 126117 158922 159903 169194 169713 237654 238383 252234 253791 319806 339426 356481 378351 476766 479709 507582 509139 712962 756702 761373 959418 1018278 1439127 1522746 1527417 2284119 2878254 3054834 3073691 4317381 4568238 4582251 6147382 6852357 8634762 9164502 9221073 12952143 13704714 13746753 18442146 20557071 25904286 27493506 27663219 38856429 41114142 41240259 55326438 61671213 77712858 82480518 82989657 123342426 165979314 248968971 497937942 746906913 1493813826 2240720739 4481441478 6722162217 13444324434