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143052005034144 = 253459935420623
BaseRepresentation
bin100000100001101011100011…
…111100011100100010100000
3200202111122020012011021110000
4200201223203330130202200
5122222231001242043034
61224125103414540000
742063111020035413
oct4041534374344240
9622448205137400
10143052005034144
1141643018535888
121406452b067600
1361a89914cab4b
142747a7ad1db7a
15118119e62e599
hex821ae3f1c8a0

143052005034144 has 120 divisors (see below), whose sum is σ = 427842685005120. Its totient is φ = 46875798209664.

The previous prime is 143052005034137. The next prime is 143052005034157. The reversal of 143052005034144 is 441430500250341.

143052005034144 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 5 + 2 + 0 + 0 + 503 + 4 + 144 = 666.

It is a super-2 number, since 2×1430520050341442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 143052005034099 and 143052005034108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 467557384 + ... + 467863239.

It is an arithmetic number, because the mean of its divisors is an integer number (3565355708376).

Almost surely, 2143052005034144 is an apocalyptic number.

It is an amenable number.

143052005034144 is an abundant number, since it is smaller than the sum of its proper divisors (284790679970976).

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

143052005034144 is an equidigital number, since it uses as much as digits as its factorization.

143052005034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935420704 (or 935420687 counting only the distinct ones).

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

Adding to 143052005034144 its reverse (441430500250341), we get a palindrome (584482505284485).

The spelling of 143052005034144 in words is "one hundred forty-three trillion, fifty-two billion, five million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 4248 4779 5664 6372 8496 9558 12744 16992 19116 25488 38232 50976 76464 152928 935420623 1870841246 2806261869 3741682492 5612523738 7483364984 8418785607 11225047476 14966729968 16837571214 22450094952 25256356821 29933459936 33675142428 44900189904 50512713642 55189816757 67350284856 75769070463 89800379808 101025427284 110379633514 134700569712 151538140926 165569450271 202050854568 220759267028 269401139424 303076281852 331138900542 404101709136 441518534056 496708350813 606152563704 662277801084 808203418272 883037068112 993416701626 1212305127408 1324555602168 1490125052439 1766074136224 1986833403252 2424610254816 2649111204336 2980250104878 3973666806504 4470375157317 5298222408672 5960500209756 7947333613008 8940750314634 11921000419512 15894667226016 17881500629268 23842000839024 35763001258536 47684001678048 71526002517072 143052005034144