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145355621136 = 24311683340289
BaseRepresentation
bin1000011101011111011…
…1101100001100010000
3111220012002020121210120
42013113313230030100
54340142014334021
6150435255230240
713334022252045
oct2072767541420
9456162217716
10145355621136
1156710505610
1224207378380
13109262c449b
14706ca211cc
153baaec22c6
hex21d7dec310

145355621136 has 80 divisors (see below), whose sum is σ = 409708687680. Its totient is φ = 44039618560.

The previous prime is 145355621129. The next prime is 145355621141. The reversal of 145355621136 is 631126553541.

It is a happy number.

145355621136 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1453556211363 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 3587680 + ... + 3627968.

It is an arithmetic number, because the mean of its divisors is an integer number (5121358596).

Almost surely, 2145355621136 is an apocalyptic number.

145355621136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145355621136 is an abundant number, since it is smaller than the sum of its proper divisors (264353066544).

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

145355621136 is a wasteful number, since it uses less digits than its factorization.

145355621136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47144 (or 47138 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The spelling of 145355621136 in words is "one hundred forty-five billion, three hundred fifty-five million, six hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 6833 13666 20499 27332 40289 40998 54664 75163 80578 81996 109328 120867 150326 161156 163992 225489 241734 300652 322312 327984 443179 450978 483468 601304 644624 886358 901956 966936 1202608 1329537 1772716 1803912 1933872 2659074 3545432 3607824 5318148 7090864 10636296 21272592 275294737 550589474 825884211 1101178948 1651768422 2202357896 3028242107 3303536844 4404715792 6056484214 6607073688 9084726321 12112968428 13214147376 18169452642 24225936856 36338905284 48451873712 72677810568 145355621136