Search a number
-
+
20442442422140 = 225292411399104537
BaseRepresentation
bin1001010010111101000001…
…00001001101011101111100
32200101021111221221022110022
410221132200201031131330
510134412110230002030
6111251043422431312
74206626531403644
oct451364041153574
980337457838408
1020442442422140
1165716558a5372
122361a70732538
13b539389c441b
145095c3131524
15256b4c8bbde5
hex1297a084d77c

20442442422140 has 96 divisors (see below), whose sum is σ = 44626017744000. Its totient is φ = 7856557793280.

The previous prime is 20442442422013. The next prime is 20442442422163. The reversal of 20442442422140 is 4122424424402.

It is a self number, because there is not a number n which added to its sum of digits gives 20442442422140.

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, 195499952 + ... + 195604488.

It is an arithmetic number, because the mean of its divisors is an integer number (464854351500).

Almost surely, 220442442422140 is an apocalyptic number.

20442442422140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442442422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22313008872000).

20442442422140 is an abundant number, since it is smaller than the sum of its proper divisors (24183575321860).

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

20442442422140 is a wasteful number, since it uses less digits than its factorization.

20442442422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106215 (or 106213 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 35.

Adding to 20442442422140 its reverse (4122424424402), we get a palindrome (24564866846542).

The spelling of 20442442422140 in words is "twenty trillion, four hundred forty-two billion, four hundred forty-two million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 241 290 482 580 964 1205 1399 2410 2798 4820 5596 6989 6995 13978 13990 27956 27980 34945 40571 69890 81142 104537 139780 162284 202855 209074 337159 405710 418148 522685 674318 811420 1045370 1348636 1685795 2090740 3031573 3371590 6063146 6743180 9777611 12126292 15157865 19555222 25193417 30315730 39110444 48888055 50386834 60631460 97776110 100773668 125967085 146247263 195552220 251934170 292494526 503868340 584989052 730609093 731236315 1461218186 1462472630 2922436372 2924945260 3653045465 4241170627 7306090930 8482341254 14612181860 16964682508 21205853135 35245590383 42411706270 70491180766 84823412540 140982361532 176227951915 352455903830 704911807660 1022122121107 2044244242214 4088488484428 5110610605535 10221221211070 20442442422140