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145015432331 = 741123238727
BaseRepresentation
bin1000011100001110010…
…1111110010010001011
3111212022101010020111012
42013003211332102023
54333442422313311
6150341423554135
713322421560000
oct2070345762213
9455271106435
10145015432331
1156556481740
122413145b94b
13108a0994c33
1470397898a7
153b8b1c578b
hex21c397e48b

145015432331 has 40 divisors (see below), whose sum is σ = 192579012864. Its totient is φ = 108085583760.

The previous prime is 145015432313. The next prime is 145015432337. The reversal of 145015432331 is 133234510541.

145015432331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145015432331 - 210 = 145015431307 is a prime.

It is a super-2 number, since 2×1450154323312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145015432337) 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 39 ways as a sum of consecutive naturals, for example, 488090 + ... + 726816.

Almost surely, 2145015432331 is an apocalyptic number.

145015432331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145015432331 is a deficient number, since it is larger than the sum of its proper divisors (47563580533).

145015432331 is an equidigital number, since it uses as much as digits as its factorization.

145015432331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238789 (or 238768 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 145015432331 its reverse (133234510541), we get a palindrome (278249942872).

The spelling of 145015432331 in words is "one hundred forty-five billion, fifteen million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 11 23 49 77 161 253 343 539 1127 1771 2401 3773 7889 12397 26411 55223 86779 238727 607453 1671089 2625997 5490721 11697623 18381979 38435047 60397931 81883361 128673853 269045329 422785517 573183527 900716971 1883317303 2959498619 6305018797 13183221121 20716490333 145015432331