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13421390112 = 25321317210869
BaseRepresentation
bin11000111111111101…
…00010100100100000
31021122100201021000200
430133332202210200
5204441333440422
610055442545200
7653410635144
oct143776424440
937570637020
1013421390112
115768030049
122726968200
13135b792370
149146db224
1553843d2ac
hex31ffa2920

13421390112 has 144 divisors (see below), whose sum is σ = 43521037560. Its totient is φ = 3886718976.

The previous prime is 13421390111. The next prime is 13421390119. The reversal of 13421390112 is 21109312431.

13421390112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12976855056 + 444535056 = 113916^2 + 21084^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13421390111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41787 + ... + 169082.

Almost surely, 213421390112 is an apocalyptic number.

13421390112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13421390112 is an abundant number, since it is smaller than the sum of its proper divisors (30099647448).

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

13421390112 is a wasteful number, since it uses less digits than its factorization.

13421390112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210915 (or 210904 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13421390112 in words is "thirteen billion, four hundred twenty-one million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 210869 421738 632607 843476 1265214 1686952 1897821 2530428 2741297 3373904 3584773 3795642 5060856 5482594 6747808 7169546 7591284 8223891 10121712 10754319 10965188 14339092 15182568 16447782 20243424 21508638 21930376 24671673 28678184 30365136 32262957 32895564 43017276 43860752 46602049 49343346 57356368 60730272 64525914 65791128 86034552 87721504 93204098 98686692 114712736 129051828 131582256 139806147 172069104 186408196 197373384 258103656 263164512 279612294 344138208 372816392 394746768 419418441 516207312 559224588 745632784 789493536 838836882 1032414624 1118449176 1491265568 1677673764 2236898352 3355347528 4473796704 6710695056 13421390112