Search a number
-
+
42032100221304 = 233181191229221219
BaseRepresentation
bin10011000111010010111000…
…11001110010000101111000
312111211020012100000001122220
421203221130121302011320
521002123220124040204
6225221140312244040
711565501424655604
oct1143513431620570
9174736170001586
1042032100221304
1112435793889276
12486a1293a0620
131a5b7c135b70b
14a545162ba504
154cd540dd11d9
hex263a5c672178

42032100221304 has 128 divisors (see below), whose sum is σ = 106678301184000. Its totient is φ = 13799755814400.

The previous prime is 42032100221263. The next prime is 42032100221317. The reversal of 42032100221304 is 40312200123024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 189891607 + ... + 190112825.

It is an arithmetic number, because the mean of its divisors is an integer number (833424228000).

Almost surely, 242032100221304 is an apocalyptic number.

It is an amenable number.

42032100221304 is an abundant number, since it is smaller than the sum of its proper divisors (64646200962696).

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

42032100221304 is a wasteful number, since it uses less digits than its factorization.

42032100221304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221829 (or 221825 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42032100221304 its reverse (40312200123024), we get a palindrome (82344300344328).

The spelling of 42032100221304 in words is "forty-two trillion, thirty-two billion, one hundred million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 181 191 229 362 382 458 543 573 687 724 764 916 1086 1146 1374 1448 1528 1832 2172 2292 2748 4344 4584 5496 34571 41449 43739 69142 82898 87478 103713 124347 131217 138284 165796 174956 207426 221219 248694 262434 276568 331592 349912 414852 442438 497388 524868 663657 829704 884876 994776 1049736 1327314 1769752 2654628 5309256 7916759 15833518 23750277 31667036 40040639 42252829 47500554 50659151 63334072 80081278 84505658 95001108 101318302 120121917 126758487 151977453 160162556 169011316 190002216 202636604 240243834 253516974 303954906 320325112 338022632 405273208 480487668 507033948 607909812 960975336 1014067896 1215819624 7647762049 9169306331 9675897841 15295524098 18338612662 19351795682 22943286147 27507918993 29027693523 30591048196 36677225324 38703591364 45886572294 55015837986 58055387046 61182096392 73354450648 77407182728 91773144588 110031675972 116110774092 183546289176 220063351944 232221548184 1751337509221 3502675018442 5254012527663 7005350036884 10508025055326 14010700073768 21016050110652 42032100221304