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144034331330431 = 19475312723962657
BaseRepresentation
bin100000101111111110011011…
…001001111000011101111111
3200212222112210012101112021001
4200233332123021320131333
5122334324302310033211
61230200243000351131
742224065000553443
oct4057763311703577
9625875705345231
10144034331330431
1141991687083573
12141a299a1754a7
13624a4c1040129
14277d427dd6823
15119b9e4492ac1
hex82ff9b27877f

144034331330431 has 32 divisors (see below), whose sum is σ = 159004696412160. Its totient is φ = 129998750708736.

The previous prime is 144034331330401. The next prime is 144034331330437. The reversal of 144034331330431 is 134033133430441.

It is a cyclic number.

It is not a de Polignac number, because 144034331330431 - 215 = 144034331297663 is a prime.

It is a super-2 number, since 2×1440343313304312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034331330437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5970546 + ... + 17992111.

It is an arithmetic number, because the mean of its divisors is an integer number (4968896762880).

Almost surely, 2144034331330431 is an apocalyptic number.

144034331330431 is a deficient number, since it is larger than the sum of its proper divisors (14970365081729).

144034331330431 is a wasteful number, since it uses less digits than its factorization.

144034331330431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23962903.

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 144034331330431 its reverse (134033133430441), we get a palindrome (278067464760872).

The spelling of 144034331330431 in words is "one hundred forty-four trillion, thirty-four billion, three hundred thirty-one million, three hundred thirty thousand, four hundred thirty-one".

Divisors: 1 19 47 53 127 893 1007 2413 2491 5969 6731 47329 113411 127889 316357 6010783 23962657 455290483 1126244879 1270020821 3043257439 21398652701 24130395599 57821891341 59690978587 143033099633 161292644267 1134128593153 2717628893027 3064560241073 7580754280549 144034331330431