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145140343115441 = 31373171136935111
BaseRepresentation
bin100001000000000100011110…
…100110000000111010110001
3201000220021121001200121122212
4201000010132212000322301
5123010434410314143231
61232404315251341505
742400021001612132
oct4100043646007261
9630807531617585
10145140343115441
1142278745984623
12143412072b1895
1362ca8a247c32b
1427bab89a99c89
1511ba677b0842b
hex84011e980eb1

145140343115441 has 32 divisors (see below), whose sum is σ = 154374913566720. Its totient is φ = 136215250214400.

The previous prime is 145140343115437. The next prime is 145140343115483. The reversal of 145140343115441 is 144511343041541.

It is a cyclic number.

It is not a de Polignac number, because 145140343115441 - 22 = 145140343115437 is a prime.

It is a super-3 number, since 3×1451403431154413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145140343115401) 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 31 ways as a sum of consecutive naturals, for example, 4133739476 + ... + 4133774586.

It is an arithmetic number, because the mean of its divisors is an integer number (4824216048960).

Almost surely, 2145140343115441 is an apocalyptic number.

It is an amenable number.

145140343115441 is a deficient number, since it is larger than the sum of its proper divisors (9234570451279).

145140343115441 is a wasteful number, since it uses less digits than its factorization.

145140343115441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46865.

The product of its (nonzero) digits is 230400, while the sum is 41.

Adding to 145140343115441 its reverse (144511343041541), we get a palindrome (289651686156982).

The spelling of 145140343115441 in words is "one hundred forty-five trillion, one hundred forty billion, three hundred forty-three million, one hundred fifteen thousand, four hundred forty-one".

Divisors: 1 31 37 317 1147 9827 11369 11729 35111 352439 363599 420653 1088441 1299107 3603973 11130187 13040243 40272317 111723163 133347001 345035797 399176959 411816919 4133757031 12374485729 12766324489 14769547483 126539096003 457855971973 3922711976093 4681946552111 145140343115441