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142223153004 = 223223477946261
BaseRepresentation
bin1000010001110100101…
…0010001011101101100
3111121002202221202100100
42010131022101131230
54312233111344004
6145200355431100
713163264565642
oct2043512213554
9447082852310
10142223153004
1155353297979
12236922b5490
131054733bc4a
146c529b5192
153a75eb3739
hex211d29176c

142223153004 has 144 divisors (see below), whose sum is σ = 387979038720. Its totient is φ = 43818952320.

The previous prime is 142223152993. The next prime is 142223153063. The reversal of 142223153004 is 400351322241.

142223153004 is a `hidden beast` number, since 1 + 42 + 2 + 2 + 315 + 300 + 4 = 666.

142223153004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3051234 + ... + 3097494.

It is an arithmetic number, because the mean of its divisors is an integer number (2694298880).

Almost surely, 2142223153004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142223153004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193989519360).

142223153004 is an abundant number, since it is smaller than the sum of its proper divisors (245755885716).

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

142223153004 is a wasteful number, since it uses less digits than its factorization.

142223153004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46420 (or 46415 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 142223153004 its reverse (400351322241), we get a palindrome (542574475245).

The spelling of 142223153004 in words is "one hundred forty-two billion, two hundred twenty-three million, one hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 79 92 94 138 141 158 188 207 237 276 282 316 414 423 474 564 711 828 846 948 1081 1422 1692 1817 2162 2844 3243 3634 3713 4324 5451 6486 7268 7426 9729 10902 11139 12972 14852 16353 19458 21804 22278 32706 33417 38916 44556 46261 65412 66834 85399 92522 133668 138783 170798 185044 256197 277566 341596 416349 512394 555132 768591 832698 1024788 1064003 1537182 1665396 2128006 2174267 3074364 3192009 3654619 4256012 4348534 6384018 6522801 7309238 8697068 9576027 10963857 12768036 13045602 14618476 19152054 19568403 21927714 26091204 32891571 38304108 39136806 43855428 50008141 65783142 78273612 84056237 100016282 131566284 150024423 168112474 171767093 200032564 252168711 300048846 336224948 343534186 450073269 504337422 515301279 600097692 687068372 756506133 900146538 1008674844 1030602558 1513012266 1545903837 1800293076 2061205116 3026024532 3091807674 3950643139 6183615348 7901286278 11851929417 15802572556 23703858834 35555788251 47407717668 71111576502 142223153004