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145012326160 = 24513294808101
BaseRepresentation
bin1000011100001101101…
…0000111111100010000
3111212022011021102121211
42013003122013330100
54333441123414120
6150341233225504
713322353302052
oct2070332077420
9455264242554
10145012326160
115655474aa59
1224130402294
13108a0148170
1470391bb8d2
153b8acb025a
hex21c3687f10

145012326160 has 80 divisors (see below), whose sum is σ = 375608928240. Its totient is φ = 51696691200.

The previous prime is 145012326157. The next prime is 145012326209. The reversal of 145012326160 is 61623210541.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52613349376 + 92398976784 = 229376^2 + 303972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 2373891 + ... + 2434210.

It is an arithmetic number, because the mean of its divisors is an integer number (4695111603).

Almost surely, 2145012326160 is an apocalyptic number.

145012326160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145012326160 is an abundant number, since it is smaller than the sum of its proper divisors (230596602080).

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

145012326160 is a wasteful number, since it uses less digits than its factorization.

145012326160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808156 (or 4808150 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 145012326160 in words is "one hundred forty-five billion, twelve million, three hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 4808101 9616202 19232404 24040505 38464808 48081010 62505313 76929616 96162020 125010626 139434929 192324040 250021252 278869858 312526565 384648080 500042504 557739716 625053130 697174645 1000085008 1115479432 1250106260 1394349290 1812654077 2230958864 2500212520 2788698580 3625308154 5000425040 5577397160 7250616308 9063270385 11154794320 14501232616 18126540770 29002465232 36253081540 72506163080 145012326160