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145455754400 = 25521116529063
BaseRepresentation
bin1000011101110111010…
…1101010110010100000
3111220110001122220210222
42013131311222302200
54340343133120100
6150453233342212
713336346340545
oct2073565526240
9456401586728
10145455754400
1156761a88180
1224234a07968
1310940c83838
14707c048bcc
153bb4ba1485
hex21ddd6aca0

145455754400 has 72 divisors (see below), whose sum is σ = 387375143904. Its totient is φ = 52892998400.

The previous prime is 145455754369. The next prime is 145455754429. The reversal of 145455754400 is 4457554541.

145455754400 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 (44).

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 11 ways as a sum of consecutive naturals, for example, 8255732 + ... + 8273331.

It is an arithmetic number, because the mean of its divisors is an integer number (5380210332).

Almost surely, 2145455754400 is an apocalyptic number.

145455754400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145455754400 is an abundant number, since it is smaller than the sum of its proper divisors (241919389504).

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

145455754400 is a wasteful number, since it uses less digits than its factorization.

145455754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16529094 (or 16529081 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 44.

The spelling of 145455754400 in words is "one hundred forty-five billion, four hundred fifty-five million, seven hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 16529063 33058126 66116252 82645315 132232504 165290630 181819693 264465008 330581260 363639386 413226575 528930016 661162520 727278772 826453150 909098465 1322325040 1454557544 1652906300 1818196930 2644650080 2909115088 3305812600 3636393860 4545492325 5818230176 6611625200 7272787720 9090984650 13223250400 14545575440 18181969300 29091150880 36363938600 72727877200 145455754400