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42271363450300 = 225216311299229519
BaseRepresentation
bin10011001110010000100011…
…00110100100010110111100
312112200002202222222102211211
421213020101212210112330
521020033223020402200
6225523110221454204
711622001535603155
oct1147102146442674
9175602688872754
1042271363450300
1112518203723556
1248a8582111364
131a78231bb7b6a
14a61d32b7c92c
154d4896304aba
hex2672119a45bc

42271363450300 has 72 divisors (see below), whose sum is σ = 92300182688000. Its totient is φ = 16803251478720.

The previous prime is 42271363450291. The next prime is 42271363450307. The reversal of 42271363450300 is 305436317224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42271363450307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184058941 + ... + 184288459.

Almost surely, 242271363450300 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 42271363450300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46150091344000).

42271363450300 is an abundant number, since it is smaller than the sum of its proper divisors (50028819237700).

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

42271363450300 is a wasteful number, since it uses less digits than its factorization.

42271363450300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240995 (or 240988 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

Adding to 42271363450300 its reverse (305436317224), we get a palindrome (42576799767524).

The spelling of 42271363450300 in words is "forty-two trillion, two hundred seventy-one billion, three hundred sixty-three million, four hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 11299 16300 22598 45196 56495 112990 225980 229519 282475 459038 564950 918076 1129900 1147595 1841737 2295190 3683474 4590380 5737975 7366948 9208685 11475950 18417370 22951900 36834740 37411597 46043425 74823194 92086850 149646388 184173700 187057985 374115970 748231940 935289925 1870579850 2593335181 3741159700 5186670362 10373340724 12966675905 25933351810 51866703620 64833379525 129666759050 259333518100 422713634503 845427269006 1690854538012 2113568172515 4227136345030 8454272690060 10567840862575 21135681725150 42271363450300