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13204014444 = 2235175315077
BaseRepresentation
bin11000100110000010…
…10100010101101100
31021002012200102200000
430103001110111230
5204020211430234
610022115504300
7645131161635
oct142301242554
937065612600
1013204014444
11566635a535
122685bb8090
1313257332ca
148d38b488c
15524300899
hex31305456c

13204014444 has 144 divisors (see below), whose sum is σ = 37343019168. Its totient is φ = 4064007168.

The previous prime is 13204014443. The next prime is 13204014449. The reversal of 13204014444 is 44441040231.

13204014444 is a `hidden beast` number, since 1 + 3 + 204 + 0 + 14 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13204014443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868234 + ... + 883310.

It is an arithmetic number, because the mean of its divisors is an integer number (259326522).

Almost surely, 213204014444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204014444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671509584).

13204014444 is an abundant number, since it is smaller than the sum of its proper divisors (24139004724).

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

13204014444 is a wasteful number, since it uses less digits than its factorization.

13204014444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166 (or 15152 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13204014444 its reverse (44441040231), we get a palindrome (57645054675).

The spelling of 13204014444 in words is "thirteen billion, two hundred four million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 81 102 106 108 153 159 162 204 212 243 306 318 324 459 477 486 612 636 901 918 954 972 1377 1431 1802 1836 1908 2703 2754 2862 3604 4131 4293 5406 5508 5724 8109 8262 8586 10812 12879 15077 16218 16524 17172 24327 25758 30154 32436 45231 48654 51516 60308 72981 90462 97308 135693 145962 180924 218943 256309 271386 291924 407079 437886 512618 542772 768927 799081 814158 875772 1025236 1221237 1537854 1598162 1628316 2306781 2397243 2442474 3075708 3196324 3663711 4613562 4794486 4884948 6920343 7191729 7327422 9227124 9588972 13584377 13840686 14383458 14654844 20761029 21575187 27168754 27681372 28766916 40753131 41522058 43150374 54337508 62283087 64725561 81506262 83044116 86300748 122259393 124566174 129451122 163012524 194176683 244518786 249132348 258902244 366778179 388353366 489037572 733556358 776706732 1100334537 1467112716 2200669074 3301003611 4401338148 6602007222 13204014444