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142728470752 = 2572333138737
BaseRepresentation
bin1000010011101101000…
…1111010000011100000
3111122101222210112222111
42010323101322003200
54314301442031002
6145322450245104
713211641661350
oct2047321720340
9448358715874
10142728470752
115559255664a
12237b3586794
13105c7c3662a
146c9db52b60
153aa552c3d7
hex213b47a0e0

142728470752 has 96 divisors (see below), whose sum is σ = 323584777152. Its totient is φ = 60705275904.

The previous prime is 142728470713. The next prime is 142728470779. The reversal of 142728470752 is 257074827241.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 142728470696 and 142728470705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16331728 + ... + 16340464.

It is an arithmetic number, because the mean of its divisors is an integer number (3370674762).

Almost surely, 2142728470752 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 142728470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161792388576).

142728470752 is an abundant number, since it is smaller than the sum of its proper divisors (180856306400).

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

142728470752 is a wasteful number, since it uses less digits than its factorization.

142728470752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 9292 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 49.

The spelling of 142728470752 in words is "one hundred forty-two billion, seven hundred twenty-eight million, four hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 233 313 466 626 932 1252 1631 1864 2191 2504 3262 3728 4382 5008 6524 7456 8737 8764 10016 13048 17474 17528 26096 34948 35056 52192 61159 69896 70112 72929 122318 139792 145858 244636 279584 291716 489272 510503 583432 978544 1021006 1166864 1957088 2035721 2042012 2333728 2734681 4071442 4084024 5469362 8142884 8168048 10938724 14250047 16285768 16336096 19142767 21877448 28500094 32571536 38285534 43754896 57000188 65143072 76571068 87509792 114000376 153142136 228000752 306284272 456001504 612568544 637180673 1274361346 2548722692 4460264711 5097445384 8920529422 10194890768 17841058844 20389781536 35682117688 71364235376 142728470752