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1001352340240 = 245716883105913
BaseRepresentation
bin11101001001001010100…
…00000010001100010000
310112201122222002102112121
432210211100002030100
5112401232144341430
62044003115504024
7132226305311650
oct16444520021420
93481588072477
101001352340240
1135674232215a
1214209aa58014
13735724cb175
1436673cb0360
151b0aa344a7a
hexe925402310

1001352340240 has 80 divisors (see below), whose sum is σ = 2660918940288. Its totient is φ = 343297225728.

The previous prime is 1001352340237. The next prime is 1001352340249. The reversal of 1001352340240 is 420432531001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1001352340249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9401524 + ... + 9507436.

Almost surely, 21001352340240 is an apocalyptic number.

1001352340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001352340240 is an abundant number, since it is smaller than the sum of its proper divisors (1659566600048).

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

1001352340240 is a wasteful number, since it uses less digits than its factorization.

1001352340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122816 (or 122810 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1001352340240 its reverse (420432531001), we get a palindrome (1421784871241).

The spelling of 1001352340240 in words is "one trillion, one billion, three hundred fifty-two million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 16883 33766 67532 84415 105913 118181 135064 168830 211826 236362 270128 337660 423652 472724 529565 590905 675320 741391 847304 945448 1059130 1181810 1350640 1482782 1694608 1890896 2118260 2363620 2965564 3706955 4236520 4727240 5931128 7413910 8473040 9454480 11862256 14827820 29655640 59311280 1788129179 3576258358 7152516716 8940645895 12516904253 14305033432 17881291790 25033808506 28610066864 35762583580 50067617012 62584521265 71525167160 100135234024 125169042530 143050334320 200270468048 250338085060 500676170120 1001352340240