Search a number
-
+
145606646031 = 3711257302891
BaseRepresentation
bin1000011110011011010…
…1010001100100001111
3111220211120121000012220
42013212311101210033
54341200300133111
6150520223430423
713343161033050
oct2074665214417
9456746530186
10145606646031
115682a179300
1224277455413
1310966305522
1470940c6727
153bc3059e06
hex21e6d5190f

145606646031 has 24 divisors (see below), whose sum is σ = 243881108352. Its totient is φ = 75639814800.

The previous prime is 145606646027. The next prime is 145606646033. The reversal of 145606646031 is 130646606541.

145606646031 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 145606646031 - 22 = 145606646027 is a prime.

It is a super-2 number, since 2×1456066460312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145606646033) 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 23 ways as a sum of consecutive naturals, for example, 28648905 + ... + 28653986.

It is an arithmetic number, because the mean of its divisors is an integer number (10161712848).

Almost surely, 2145606646031 is an apocalyptic number.

145606646031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145606646031 is a deficient number, since it is larger than the sum of its proper divisors (98274462321).

145606646031 is a wasteful number, since it uses less digits than its factorization.

145606646031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57302923 (or 57302912 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 145606646031 in words is "one hundred forty-five billion, six hundred six million, six hundred forty-six thousand, thirty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 57302891 171908673 401120237 630331801 1203360711 1890995403 4412322607 6933649811 13236967821 20800949433 48535548677 145606646031