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145657581144 = 23343532663039
BaseRepresentation
bin1000011110100111011…
…1100100111001011000
3111220222010102210001120
42013221313210321120
54341301320044034
6150525243245240
713344350003655
oct2075167447130
9456863383046
10145657581144
11568559a8639
1224290519820
1310973a2a44a
14709ab84c2c
153bc776bc49
hex21e9de4e58

145657581144 has 64 divisors (see below), whose sum is σ = 379642982400. Its totient is φ = 46528599936.

The previous prime is 145657581073. The next prime is 145657581227. The reversal of 145657581144 is 441185756541.

145657581144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1456575811442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276824 + ... + 1386215.

It is an arithmetic number, because the mean of its divisors is an integer number (5931921600).

Almost surely, 2145657581144 is an apocalyptic number.

It is an amenable number.

145657581144 is an abundant number, since it is smaller than the sum of its proper divisors (233985401256).

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

145657581144 is a wasteful number, since it uses less digits than its factorization.

145657581144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663144 (or 2663140 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 51.

The spelling of 145657581144 in words is "one hundred forty-five billion, six hundred fifty-seven million, five hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 53 86 106 129 159 172 212 258 318 344 424 516 636 1032 1272 2279 4558 6837 9116 13674 18232 27348 54696 2663039 5326078 7989117 10652156 15978234 21304312 31956468 63912936 114510677 141141067 229021354 282282134 343532031 423423201 458042708 564564268 687064062 846846402 916085416 1129128536 1374128124 1693692804 2748256248 3387385608 6069065881 12138131762 18207197643 24276263524 36414395286 48552527048 72828790572 145657581144