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542045234430324 = 223229519200416121
BaseRepresentation
bin111101100111111001011110…
…1101001101000000101110100
32122002020000111100220122201100
41323033302331221220011310
51032021332120003232244
65200500050521530100
7222113322134032212
oct17317627551500564
92562200440818640
10542045234430324
11147792102822739
1250963bb8343930
131a35b852b54601
1497bd1b4c39cb2
15429ec918e1b69
hex1ecfcbda68174

542045234430324 has 36 divisors (see below), whose sum is σ = 1417417136013060. Its totient is φ = 174451339816320.

The previous prime is 542045234430239. The next prime is 542045234430347. The reversal of 542045234430324 is 423034432540245.

542045234430324 is a `hidden beast` number, since 5 + 4 + 20 + 4 + 523 + 44 + 30 + 32 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330289478081424 + 211755756348900 = 18173868^2 + 14551830^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 542045234430324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259600207017 + ... + 259600209104.

It is an arithmetic number, because the mean of its divisors is an integer number (39372698222585).

Almost surely, 2542045234430324 is an apocalyptic number.

It is an amenable number.

542045234430324 is an abundant number, since it is smaller than the sum of its proper divisors (875371901582736).

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

542045234430324 is a wasteful number, since it uses less digits than its factorization.

542045234430324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519200416160 (or 519200416155 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

Adding to 542045234430324 its reverse (423034432540245), we get a palindrome (965079666970569).

The spelling of 542045234430324 in words is "five hundred forty-two trillion, forty-five billion, two hundred thirty-four million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 519200416121 1038400832242 1557601248363 2076801664484 3115202496726 4672803745089 6230404993452 9345607490178 15056812067509 18691214980356 30113624135018 45170436202527 60227248270036 90340872405054 135511308607581 180681744810108 271022617215162 542045234430324