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11342140314001 = 7175989131138559
BaseRepresentation
bin1010010100001100110000…
…1111101001000110010001
31111011022001021000110101221
42211003030033221012101
52441312200410022001
640042301325525041
72250304544650210
oct245031417510621
944138037013357
1011342140314001
1136831a15778a2
121332223a13781
136437368697b3
142b2d69227077
1514a07d6cc1a1
hexa50cc3e9191

11342140314001 has 64 divisors (see below), whose sum is σ = 14222241792000. Its totient is φ = 8825856399360.

The previous prime is 11342140313989. The next prime is 11342140314013. The reversal of 11342140314001 is 10041304124311.

It is an interprime number because it is at equal distance from previous prime (11342140313989) and next prime (11342140314013).

It is not a de Polignac number, because 11342140314001 - 27 = 11342140313873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11342140314041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81788560 + ... + 81927118.

It is an arithmetic number, because the mean of its divisors is an integer number (222222528000).

Almost surely, 211342140314001 is an apocalyptic number.

It is an amenable number.

11342140314001 is a deficient number, since it is larger than the sum of its proper divisors (2880101477999).

11342140314001 is a wasteful number, since it uses less digits than its factorization.

11342140314001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138862.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11342140314001 its reverse (10041304124311), we get a palindrome (21383444438312).

The spelling of 11342140314001 in words is "eleven trillion, three hundred forty-two billion, one hundred forty million, three hundred fourteen thousand, one".

Divisors: 1 7 17 59 89 119 131 413 623 917 1003 1513 2227 5251 7021 7729 10591 11659 15589 36757 54103 81613 89267 131393 138559 198203 624869 687881 919751 969913 1387421 2355503 4815167 8174981 11693977 12331751 16488521 18151229 57224867 81857839 86322257 127058603 138974677 209639767 308570893 727573309 972822739 1070922511 1467478369 1615459381 2159996251 5093013163 7496457577 11308215667 12368746253 18205682687 27462809477 86581223771 95312103479 127439778809 192239666339 667184724353 1620305759143 11342140314001