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42442443104220 = 223253831295947507
BaseRepresentation
bin10011010011001111001101…
…01111101001111111011100
312120021110100211112022201100
421221213212233221333130
521030334110413313340
6230133442244313100
711640236206634325
oct1151474657517734
9176243324468640
1042442443104220
1112583814729695
1249157683a2790
131a8b3c771ab03
14a6a321d7944c
154d905a817830
hex2699e6be9fdc

42442443104220 has 144 divisors (see below), whose sum is σ = 129090896363520. Its totient is φ = 11287325267328.

The previous prime is 42442443104203. The next prime is 42442443104279. The reversal of 42442443104220 is 2240134424424.

42442443104220 is a `hidden beast` number, since 4 + 2 + 4 + 424 + 4 + 3 + 1 + 0 + 4 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893369707 + ... + 893417213.

It is an arithmetic number, because the mean of its divisors is an integer number (896464558080).

Almost surely, 242442443104220 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 42442443104220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64545448181760).

42442443104220 is an abundant number, since it is smaller than the sum of its proper divisors (86648453259300).

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

42442443104220 is a wasteful number, since it uses less digits than its factorization.

42442443104220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60864 (or 60859 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42442443104220 its reverse (2240134424424), we get a palindrome (44682577528644).

The spelling of 42442443104220 in words is "forty-two trillion, four hundred forty-two billion, four hundred forty-three million, one hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 11490 12959 13788 17235 22980 25918 34470 38877 47507 51836 64795 68940 77754 95014 116631 129590 142521 155508 190028 194385 233262 237535 259180 285042 388770 427563 466524 475070 570084 583155 712605 777540 855126 950140 1166310 1425210 1710252 2137815 2332620 2850420 4275630 4963297 8551260 9926594 14889891 18195181 19853188 24816485 29779782 36390362 44669673 49632970 54585543 59559564 72780724 74449455 89339346 90975905 99265940 109171086 148898910 163756629 178678692 181951810 218342172 223348365 272927715 297797820 327513258 363903620 446696730 545855430 615643213 655026516 818783145 893393460 1091710860 1231286426 1637566290 1846929639 2462572852 3078216065 3275132580 3693859278 5540788917 6156432130 7387718556 9234648195 11081577834 12312864260 18469296390 22163155668 27703944585 36938592780 55407889170 110815778340 235791350579 471582701158 707374051737 943165402316 1178956752895 1414748103474 2122122155211 2357913505790 2829496206948 3536870258685 4244244310422 4715827011580 7073740517370 8488488620844 10610610776055 14147481034740 21221221552110 42442443104220