Search a number
-
+
145461376360 = 23510985938839
BaseRepresentation
bin1000011101111000101…
…1000111010101101000
3111220110110020112200201
42013132023013111220
54340401103020420
6150453554041544
713336445204236
oct2073613072550
9456413215621
10145461376360
1156765178023
12242368792b4
13109421a1741
14707caad956
153bb541210a
hex21de2c7568

145461376360 has 64 divisors (see below), whose sum is σ = 330683760000. Its totient is φ = 57582150912.

The previous prime is 145461376351. The next prime is 145461376421. The reversal of 145461376360 is 63673164541.

145461376360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145461376360.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3725821 + ... + 3764659.

It is an arithmetic number, because the mean of its divisors is an integer number (5166933750).

Almost surely, 2145461376360 is an apocalyptic number.

145461376360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145461376360 is an abundant number, since it is smaller than the sum of its proper divisors (185222383640).

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

145461376360 is a wasteful number, since it uses less digits than its factorization.

145461376360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39818 (or 39814 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 145461376360 in words is "one hundred forty-five billion, four hundred sixty-one million, three hundred seventy-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 859 872 1090 1718 2180 3436 4295 4360 6872 8590 17180 34360 38839 77678 93631 155356 187262 194195 310712 374524 388390 468155 749048 776780 936310 1553560 1872620 3745240 4233451 8466902 16933804 21167255 33362701 33867608 42334510 66725402 84669020 133450804 166813505 169338040 266901608 333627010 667254020 1334508040 3636534409 7273068818 14546137636 18182672045 29092275272 36365344090 72730688180 145461376360