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145504020225042 = 23250381119815893
BaseRepresentation
bin100001000101010111001011…
…011100000101110000010010
3201002012001022100022222020200
4201011113023130011300102
5123032414213134200132
61233243342450120030
742435214156211403
oct4105271334056022
9632161270288220
10145504020225042
11423a89aa153836
121439b7a1b80016
136325c7c7a5acb
1427d0609b939aa
1511c4d6075dd7c
hex8455cb705c12

145504020225042 has 48 divisors (see below), whose sum is σ = 316274984520768. Its totient is φ = 48345228030240.

The previous prime is 145504020225023. The next prime is 145504020225059. The reversal of 145504020225042 is 240522020405541.

145504020225042 is a `hidden beast` number, since 1 + 4 + 550 + 40 + 2 + 0 + 2 + 25 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145504020224988 and 145504020225006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2565153 + ... + 17250740.

It is an arithmetic number, because the mean of its divisors is an integer number (6589062177516).

Almost surely, 2145504020225042 is an apocalyptic number.

145504020225042 is an abundant number, since it is smaller than the sum of its proper divisors (170770964295726).

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

145504020225042 is a wasteful number, since it uses less digits than its factorization.

145504020225042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19817215 (or 19817212 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 145504020225042 in words is "one hundred forty-five trillion, five hundred four billion, twenty million, two hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 503 811 1006 1509 1622 2433 3018 4527 4866 7299 9054 14598 407933 815866 1223799 2447598 3671397 7342794 19815893 39631786 59447679 118895358 178343037 356686074 9967394179 16070689223 19934788358 29902182537 32141378446 48212067669 59804365074 89706547611 96424135338 144636203007 179413095222 289272406014 8083556679169 16167113358338 24250670037507 48501340075014 72752010112521 145504020225042