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145003446504 = 233271009285139
BaseRepresentation
bin1000011100001011100…
…0010000000011101000
3111212021112120022000200
42013002320100003220
54333431340242004
6150340315032200
713322214646620
oct2070270200350
9455245508020
10145003446504
115654a7355a4
122412943b660
131089b359527
147037d49880
153b8a109239
hex21c2e100e8

145003446504 has 96 divisors (see below), whose sum is σ = 449266584000. Its totient is φ = 41388350976.

The previous prime is 145003446499. The next prime is 145003446529. The reversal of 145003446504 is 405644300541.

145003446504 is a `hidden beast` number, since 145 + 0 + 0 + 3 + 4 + 4 + 6 + 504 = 666.

145003446504 is digitally balanced in base 3, 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365967 + ... + 651105.

It is an arithmetic number, because the mean of its divisors is an integer number (4679860250).

Almost surely, 2145003446504 is an apocalyptic number.

145003446504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145003446504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224633292000).

145003446504 is an abundant number, since it is smaller than the sum of its proper divisors (304263137496).

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

145003446504 is a wasteful number, since it uses less digits than its factorization.

145003446504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286167 (or 286160 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 145003446504 in words is "one hundred forty-five billion, three million, four hundred forty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1009 2018 3027 4036 6054 7063 8072 9081 12108 14126 18162 21189 24216 28252 36324 42378 56504 63567 72648 84756 127134 169512 254268 285139 508536 570278 855417 1140556 1710834 1995973 2281112 2566251 3421668 3991946 5132502 5987919 6843336 7983892 10265004 11975838 15967784 17963757 20530008 23951676 35927514 47903352 71855028 143710056 287705251 575410502 863115753 1150821004 1726231506 2013936757 2301642008 2589347259 3452463012 4027873514 5178694518 6041810271 6904926024 8055747028 10357389036 12083620542 16111494056 18125430813 20714778072 24167241084 36250861626 48334482168 72501723252 145003446504