Search a number
-
+
145011352032 = 2533433903191
BaseRepresentation
bin1000011100001101011…
…0011010000111100000
3111212022002102221101000
42013003112122013200
54333440401231112
6150341200312000
713322342104041
oct2070326320740
9455262387330
10145011352032
1156554145098
1224130012600
131089cb96961
1470390068c8
153b8ab6b7dc
hex21c359a1e0

145011352032 has 96 divisors (see below), whose sum is σ = 432785928960. Its totient is φ = 47212986240.

The previous prime is 145011352007. The next prime is 145011352033. The reversal of 145011352032 is 230253110541.

145011352032 is a `hidden beast` number, since 1 + 4 + 501 + 135 + 20 + 3 + 2 = 666.

145011352032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145011351987 and 145011352005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145011352033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914444 + ... + 1988747.

It is an arithmetic number, because the mean of its divisors is an integer number (4508186760).

Almost surely, 2145011352032 is an apocalyptic number.

145011352032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145011352032 is an abundant number, since it is smaller than the sum of its proper divisors (287774576928).

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

145011352032 is a wasteful number, since it uses less digits than its factorization.

145011352032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903253 (or 3903239 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 145011352032 its reverse (230253110541), we get a palindrome (375264462573).

The spelling of 145011352032 in words is "one hundred forty-five billion, eleven million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 37152 3903191 7806382 11709573 15612764 23419146 31225528 35128719 46838292 62451056 70257438 93676584 105386157 124902112 140514876 167837213 187353168 210772314 281029752 335674426 374706336 421544628 503511639 562059504 671348852 843089256 1007023278 1124119008 1342697704 1510534917 1686178512 2014046556 2685395408 3021069834 3372357024 4028093112 4531604751 5370790816 6042139668 8056186224 9063209502 12084279336 16112372448 18126419004 24168558672 36252838008 48337117344 72505676016 145011352032