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145543544520 = 233511472345963
BaseRepresentation
bin1000011110001100010…
…0100011111011001000
3111220200011212010012220
42013203010203323020
54341033121411040
6150510051134040
713341463500453
oct2074304437310
9456604763186
10145543544520
11567a759a1a0
122425a2a4320
131095621095a
14708997c49a
153bbc7432d0
hex21e3123ec8

145543544520 has 128 divisors (see below), whose sum is σ = 486459095040. Its totient is φ = 34532560640.

The previous prime is 145543544501. The next prime is 145543544527. The reversal of 145543544520 is 25445345541.

145543544520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145543544527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110942 + ... + 1235021.

It is an arithmetic number, because the mean of its divisors is an integer number (3800461680).

Almost surely, 2145543544520 is an apocalyptic number.

145543544520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145543544520 is an abundant number, since it is smaller than the sum of its proper divisors (340915550520).

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

145543544520 is a wasteful number, since it uses less digits than its factorization.

145543544520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346035 (or 2346031 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 145543544520 in words is "one hundred forty-five billion, five hundred forty-three million, five hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040 2345963 4691926 7037889 9383852 11729815 14075778 18767704 23459630 25805593 28151556 35189445 46919260 51611186 56303112 70378890 77416779 93838520 103222372 110260261 129027965 140757780 154833558 206444744 220520522 258055930 281515560 309667116 330780783 387083895 441041044 516111860 551301305 619334232 661561566 774167790 882082088 1032223720 1102602610 1212862871 1323123132 1548335580 1653903915 2205205220 2425725742 2646246264 3096671160 3307807830 3638588613 4410410440 4851451484 6064314355 6615615660 7277177226 9702902968 12128628710 13231231320 14554354452 18192943065 24257257420 29108708904 36385886130 48514514840 72771772260 145543544520