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42502413330 = 232513215431811
BaseRepresentation
bin100111100101010101…
…110101110000010010
311001201001210022020200
4213211111311300102
51144021104211310
631305250120030
73033151360326
oct474525656022
9131631708220
1042502413330
1117030560233
1282a1b80016
134014648300
1420b2a89986
15118b53c9c0
hex9e5575c12

42502413330 has 144 divisors (see below), whose sum is σ = 119804308416. Its totient is φ = 10449578880.

The previous prime is 42502413313. The next prime is 42502413353. The reversal of 42502413330 is 3331420524.

42502413330 is a `hidden beast` number, since 42 + 50 + 241 + 3 + 330 = 666.

42502413330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42502413294 and 42502413303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23468125 + ... + 23469935.

It is an arithmetic number, because the mean of its divisors is an integer number (831974364).

Almost surely, 242502413330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42502413330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59902154208).

42502413330 is an abundant number, since it is smaller than the sum of its proper divisors (77301895086).

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

42502413330 is a wasteful number, since it uses less digits than its factorization.

42502413330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 42502413330 its reverse (3331420524), we get a palindrome (45833833854).

The spelling of 42502413330 in words is "forty-two billion, five hundred two million, four hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1543 1690 1811 2535 3042 3086 3622 4629 5070 5433 7605 7715 9055 9258 10866 13887 15210 15430 16299 18110 20059 23145 23543 27165 27774 32598 40118 46290 47086 54330 60177 69435 70629 81495 100295 117715 120354 138870 141258 162990 180531 200590 211887 235430 260767 300885 306059 353145 361062 423774 521534 601770 612118 706290 782301 902655 918177 1059435 1303835 1530295 1564602 1805310 1836354 2118870 2346903 2607670 2754531 2794373 3060590 3911505 4590885 4693806 5509062 5588746 7823010 8383119 9181770 11734515 13772655 13971865 16766238 23469030 25149357 27545310 27943730 36326849 41915595 50298714 72653698 83831190 108980547 125746785 181634245 217961094 251493570 326941641 363268490 472249037 544902735 653883282 944498074 1089805470 1416747111 1634708205 2361245185 2833494222 3269416410 4250241333 4722490370 7083735555 8500482666 14167471110 21251206665 42502413330