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10010343341440 = 275131203166267
BaseRepresentation
bin1001000110101011011011…
…1101010111110110000000
31022102222110001001102212101
42101222312331113312000
52303002140343411230
633142404354440144
72052136432321561
oct221526675276600
938388401042771
1010010343341440
11320a3a9935592
1211580a3893054
13577c8200a1c0
14268708b08168
151255d3021aca
hex91ab6f57d80

10010343341440 has 64 divisors (see below), whose sum is σ = 25771821460560. Its totient is φ = 3696126769152.

The previous prime is 10010343341431. The next prime is 10010343341477. The reversal of 10010343341440 is 4414334301001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×100103433414403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010343341399 and 10010343341408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601574814 + ... + 601591453.

Almost surely, 210010343341440 is an apocalyptic number.

10010343341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010343341440 is an abundant number, since it is smaller than the sum of its proper divisors (15761478119120).

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

10010343341440 is a wasteful number, since it uses less digits than its factorization.

10010343341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203166299 (or 1203166287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10010343341440 its reverse (4414334301001), we get a palindrome (14424677642441).

The spelling of 10010343341440 in words is "ten trillion, ten billion, three hundred forty-three million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1203166267 2406332534 4812665068 6015831335 9625330136 12031662670 15641161471 19250660272 24063325340 31282322942 38501320544 48126650680 62564645884 77002641088 78205807355 96253301360 125129291768 154005282176 156411614710 192506602720 250258583536 312823229420 385013205440 500517167072 625646458840 770026410880 1001034334144 1251292917680 2002068668288 2502585835360 5005171670720 10010343341440