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42433188930 = 2345115418803
BaseRepresentation
bin100111100001001101…
…110001010001000010
311001112020112100020000
4213201031301101002
51143400344021210
631254334300430
73031351104036
oct474115612102
9131466470200
1042433188930
1116aa5479990
128282957716
1340031bb822
1420a77ca1c6
151185416ac0
hex9e1371442

42433188930 has 160 divisors (see below), whose sum is σ = 124714928448. Its totient is φ = 10266652800.

The previous prime is 42433188901. The next prime is 42433188937. The reversal of 42433188930 is 3988133424.

42433188930 is a `hidden beast` number, since 4 + 2 + 433 + 188 + 9 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42433188937) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4815909 + ... + 4824711.

Almost surely, 242433188930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42433188930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62357464224).

42433188930 is an abundant number, since it is smaller than the sum of its proper divisors (82281739518).

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

42433188930 is a wasteful number, since it uses less digits than its factorization.

42433188930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42433188930 in words is "forty-two billion, four hundred thirty-three million, one hundred eighty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 541 594 810 891 990 1082 1485 1623 1782 2705 2970 3246 4455 4869 5410 5951 8115 8803 8910 9738 11902 14607 16230 17606 17853 24345 26409 29214 29755 35706 43821 44015 48690 52818 53559 59510 73035 79227 87642 88030 89265 96833 107118 132045 146070 158454 160677 178530 193666 219105 237681 264090 267795 290499 321354 396135 438210 475362 482031 484165 535590 580998 713043 792270 803385 871497 964062 968330 1188405 1426086 1452495 1606770 1742994 2376810 2410155 2614491 2904990 3565215 4357485 4762423 4820310 5228982 7130430 7843473 8714970 9524846 13072455 14287269 15686946 23812115 26144910 28574538 39217365 42861807 47624230 52386653 71436345 78434730 85723614 104773306 128585421 142872690 157159959 214309035 257170842 261933265 314319918 385756263 428618070 471479877 523866530 642927105 771512526 785799795 942959754 1285854210 1414439631 1571599590 1928781315 2357399385 2828879262 3857562630 4243318893 4714798770 7072198155 8486637786 14144396310 21216594465 42433188930