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13406364444 = 22311597323581
BaseRepresentation
bin11000111110001010…
…01110001100011100
31021121022102212200110
430133011032030130
5204424012130234
610054144530020
7653136134424
oct143705161434
937538385613
1013406364444
11575a5a8040
122721920910
131358631135
14912709484
15536e711e9
hex31f14e31c

13406364444 has 96 divisors (see below), whose sum is σ = 35180570880. Its totient is φ = 3938803200.

The previous prime is 13406364379. The next prime is 13406364457. The reversal of 13406364444 is 44446360431.

13406364444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 556734 + ... + 580314.

It is an arithmetic number, because the mean of its divisors is an integer number (366464280).

Almost surely, 213406364444 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 13406364444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590285440).

13406364444 is an abundant number, since it is smaller than the sum of its proper divisors (21774206436).

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

13406364444 is a wasteful number, since it uses less digits than its factorization.

13406364444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23731 (or 23729 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 13406364444 in words is "thirteen billion, four hundred six million, three hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 73 118 132 146 177 219 236 292 354 438 649 708 803 876 1298 1606 1947 2409 2596 3212 3894 4307 4818 7788 8614 9636 12921 17228 23581 25842 47162 47377 51684 70743 94324 94754 141486 142131 189508 259391 282972 284262 518782 568524 778173 1037564 1391279 1556346 1721413 2782558 3112692 3442826 4173837 5164239 5565116 6885652 8347674 10328478 15304069 16695348 18935543 20656956 30608138 37871086 45912207 56806629 61216276 75742172 91824414 101563367 113613258 183648828 203126734 227226516 304690101 406253468 609380202 1117197037 1218760404 2234394074 3351591111 4468788148 6703182222 13406364444