Search a number
-
+
145112232520 = 23537971913313
BaseRepresentation
bin1000011100100101011…
…1001111001001001000
3111212120010021012101101
42013021113033021020
54334142212420040
6150355202431144
713325005424203
oct2071127171110
9455503235341
10145112232520
11565a60880a2
12241599624b4
13108b7a58158
14704858693a
153b9494709a
hex21c95cf248

145112232520 has 64 divisors (see below), whose sum is σ = 327843936000. Its totient is φ = 57806880768.

The previous prime is 145112232511. The next prime is 145112232541. The reversal of 145112232520 is 25232211541.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10893384 + ... + 10906696.

It is an arithmetic number, because the mean of its divisors is an integer number (5122561500).

Almost surely, 2145112232520 is an apocalyptic number.

145112232520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145112232520 is an abundant number, since it is smaller than the sum of its proper divisors (182731703480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145112232520 is a wasteful number, since it uses less digits than its factorization.

145112232520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 145112232520 in words is "one hundred forty-five billion, one hundred twelve million, two hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 379 719 758 1438 1516 1895 2876 3032 3595 3790 5752 7190 7580 13313 14380 15160 26626 28760 53252 66565 106504 133130 266260 272501 532520 545002 1090004 1362505 2180008 2725010 5045627 5450020 9572047 10091254 10900040 19144094 20182508 25228135 38288188 40365016 47860235 50456270 76576376 95720470 100912540 191440940 201825080 382881880 3627805813 7255611626 14511223252 18139029065 29022446504 36278058130 72556116260 145112232520