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42332433030 = 234529262143
BaseRepresentation
bin100111011011001101…
…011010101010000110
311001021012221102010000
4213123031122222012
51143144100324110
631240334542130
73026015513046
oct473315325206
9131235842100
1042332433030
1116a53611548
128255067946
133cb8371c54
14209827d726
15117b6631c0
hex9db35aa86

42332433030 has 120 divisors (see below), whose sum is σ = 117889529472. Its totient is φ = 10899209664.

The previous prime is 42332432993. The next prime is 42332433079. The reversal of 42332433030 is 3033423324.

42332433030 is a `hidden beast` number, since 4 + 2 + 3 + 324 + 330 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42332432985 and 42332433003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 650139 + ... + 712281.

Almost surely, 242332433030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42332433030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58944764736).

42332433030 is an abundant number, since it is smaller than the sum of its proper divisors (75557096442).

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

42332433030 is a wasteful number, since it uses less digits than its factorization.

42332433030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62220 (or 62182 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 42332433030 its reverse (3033423324), we get a palindrome (45365856354).

The spelling of 42332433030 in words is "forty-two billion, three hundred thirty-two million, four hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 841 870 1305 1566 1682 2349 2523 2610 3915 4205 4698 5046 7569 7830 8410 11745 12615 15138 22707 23490 25230 37845 45414 62143 68121 75690 113535 124286 136242 186429 227070 310715 340605 372858 559287 621430 681210 932145 1118574 1677861 1802147 1864290 2796435 3355722 3604294 5033583 5406441 5592870 8389305 9010735 10067166 10812882 16219323 16778610 18021470 25167915 27032205 32438646 48657969 50335830 52262263 54064410 81096615 97315938 104524526 145973907 156786789 162193230 243289845 261311315 291947814 313573578 470360367 486579690 522622630 729869535 783933945 940720734 1411081101 1459739070 1567867890 2351801835 2822162202 4233243303 4703603670 7055405505 8466486606 14110811010 21166216515 42332433030