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42326451326232 = 23336727491063919
BaseRepresentation
bin10011001111110111001010…
…00110001000110100011000
312112212100222011112111011000
421213323211012020310120
521021434033014414412
6230004300414105000
711625661631041353
oct1147734506106430
9175770864474130
1042326451326232
1112539602364047
1248b7196aab160
131a804a0a73658
14a6487b0c729a
154d601c6ad4dc
hex267ee5188d18

42326451326232 has 128 divisors (see below), whose sum is σ = 119371824000000. Its totient is φ = 13893168947328.

The previous prime is 42326451326191. The next prime is 42326451326287. The reversal of 42326451326232 is 23262315462324.

42326451326232 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 6 + 4 + 5 + 13 + 2 + 623 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39251569 + ... + 40315487.

It is an arithmetic number, because the mean of its divisors is an integer number (932592375000).

Almost surely, 242326451326232 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 42326451326232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59685912000000).

42326451326232 is an abundant number, since it is smaller than the sum of its proper divisors (77045372673768).

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

42326451326232 is a wasteful number, since it uses less digits than its factorization.

42326451326232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066750 (or 1066740 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

Adding to 42326451326232 its reverse (23262315462324), we get a palindrome (65588766788556).

The spelling of 42326451326232 in words is "forty-two trillion, three hundred twenty-six billion, four hundred fifty-one million, three hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 2749 3618 4824 5498 7236 8247 10996 14472 16494 21992 24741 32988 49482 65976 74223 98964 148446 184183 197928 296892 368366 552549 593784 736732 1063919 1105098 1473464 1657647 2127838 2210196 3191757 3315294 4255676 4420392 4972941 6383514 6630588 8511352 9575271 9945882 12767028 13261176 19150542 19891764 25534056 28725813 38301084 39783528 57451626 71282573 76602168 114903252 142565146 213847719 229806504 285130292 427695438 570260584 641543157 855390876 1283086314 1710781752 1924629471 2566172628 2924713331 3849258942 5132345256 5849426662 7698517884 8774139993 11698853324 15397035768 17548279986 23397706648 26322419979 35096559972 52644839958 70193119944 78967259937 105289679916 157934519874 195955793177 210579359832 315869039748 391911586354 587867379531 631738079496 783823172708 1175734759062 1567646345416 1763602138593 2351469518124 3527204277186 4702939036248 5290806415779 7054408554372 10581612831558 14108817108744 21163225663116 42326451326232