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145539430427161 = 37671273796311933
BaseRepresentation
bin100001000101111000001010…
…000011010010101000011001
3201002022102201010212121201001
4201011320022003102220121
5123034004223142132121
61233311520305425001
742440606522030311
oct4105701203225031
9632272633777631
10145539430427161
1142411a202a8791
12143a662493b161
1363294039a0924
1427d220895c441
1511c5c3431a991
hex845e0a0d2a19

145539430427161 has 64 divisors (see below), whose sum is σ = 153624196218880. Its totient is φ = 137738850036480.

The previous prime is 145539430427159. The next prime is 145539430427197. The reversal of 145539430427161 is 161724034935541.

It is a 4-Lehmer number, since φ(145539430427161) divides (145539430427161-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 145539430427161 - 21 = 145539430427159 is a prime.

It is a deceptive number, since it divides R145539430427160.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145539430227161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75291996151 + ... + 75291998083.

It is an arithmetic number, because the mean of its divisors is an integer number (2400378065920).

It is a Poulet number, since it divides 2145539430427160-1.

Almost surely, 2145539430427161 is an apocalyptic number.

145539430427161 is the 6448465-th centered heptagonal number.

It is an amenable number.

145539430427161 is a deficient number, since it is larger than the sum of its proper divisors (8084765791719).

145539430427161 is a wasteful number, since it uses less digits than its factorization.

145539430427161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174.

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 145539430427161 in words is "one hundred forty-five trillion, five hundred thirty-nine billion, four hundred thirty million, four hundred twenty-seven thousand, one hundred sixty-one".

Divisors: 1 37 67 127 379 631 1933 2479 4699 8509 14023 23347 25393 42277 48133 71521 80137 129511 239149 245491 314833 732607 939541 1219723 1564249 1780921 2965069 3224911 4791907 5369179 8848513 9083167 16022983 16447897 27106459 30371923 45129751 49084669 81721441 93041089 119321707 154904821 198659623 462275017 592850371 608572189 1123761151 1816132753 2034918841 3023693317 3442520293 5731478377 6233752963 10378623007 17104175629 30972426139 58708927159 75291997117 230648859631 384009051259 1145979767143 2172230304883 3933498119653 145539430427161