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145104036012 = 22341334450151
BaseRepresentation
bin1000011100100011011…
…1111110000010101100
3111212112112211202220000
42013020313332002230
54334133113123022
6150354311024300
713324545645525
oct2071067760254
9455475752800
10145104036012
11565a1499a21
122415706b090
13108b6148450
14704745184c
153b93d786ac
hex21c8dfe0ac

145104036012 has 60 divisors (see below), whose sum is σ = 408509902416. Its totient is φ = 44647394400.

The previous prime is 145104036001. The next prime is 145104036037. The reversal of 145104036012 is 210630401541.

It is a happy number.

145104036012 is a `hidden beast` number, since 1 + 4 + 5 + 10 + 40 + 3 + 601 + 2 = 666.

145104036012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 19 ways as a sum of consecutive naturals, for example, 17220864 + ... + 17229287.

Almost surely, 2145104036012 is an apocalyptic number.

145104036012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145104036012 is an abundant number, since it is smaller than the sum of its proper divisors (263405866404).

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

145104036012 is a wasteful number, since it uses less digits than its factorization.

145104036012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34450180 (or 34450169 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 145104036012 its reverse (210630401541), we get a palindrome (355734437553).

The spelling of 145104036012 in words is "one hundred forty-five billion, one hundred four million, thirty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 34450151 68900302 103350453 137800604 206700906 310051359 413401812 447851963 620102718 895703926 930154077 1240205436 1343555889 1791407852 1860308154 2687111778 2790462231 3720616308 4030667667 5374223556 5580924462 8061335334 11161848924 12092003001 16122670668 24184006002 36276009003 48368012004 72552018006 145104036012