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13404404131412 = 2272413594646363
BaseRepresentation
bin1100001100001111010010…
…1111110010011001010100
31202110110002222012221210112
43003003310233302121110
53224104204424201122
644301522004342152
72552302426115600
oct303036457623124
952413088187715
1013404404131412
1142a8859753218
121605a439a4958
13763050875078
14344ac309a500
15183a2ca332e2
hexc30f4bf2654

13404404131412 has 72 divisors (see below), whose sum is σ = 28030956448320. Its totient is φ = 5589015922560.

The previous prime is 13404404131411. The next prime is 13404404131471. The reversal of 13404404131412 is 21413140440431.

13404404131412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134044041314122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404404131411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561743 + ... + 5208105.

It is an arithmetic number, because the mean of its divisors is an integer number (389318839560).

Almost surely, 213404404131412 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 13404404131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015478224160).

13404404131412 is an abundant number, since it is smaller than the sum of its proper divisors (14626552316908).

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

13404404131412 is a wasteful number, since it uses less digits than its factorization.

13404404131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646781 (or 4646772 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13404404131412 its reverse (21413140440431), we get a palindrome (34817544571843).

The spelling of 13404404131412 in words is "thirteen trillion, four hundred four billion, four hundred four million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 359 574 718 1148 1436 2009 2513 4018 5026 8036 10052 14719 17591 29438 35182 58876 70364 103033 206066 412132 721231 1442462 2884924 4646363 9292726 18585452 32524541 65049082 130098164 190500883 227671787 381001766 455343574 762003532 910687148 1333506181 1668044317 2667012362 3336088634 5334024724 6672177268 9334543267 11676310219 18669086534 23352620438 37338173068 46705240876 68389816997 81734171533 136779633994 163468343066 273559267988 326936686132 478728718979 957457437958 1914914875916 3351101032853 6702202065706 13404404131412