Search a number
-
+
24420342141140 = 225111511973731521
BaseRepresentation
bin1011000110101110011011…
…10100011001000011010100
310012110120011122001102020112
411203113031310121003110
511200100330042004030
6123534314511022152
75100211562206001
oct543271564310324
9105416148042215
1024420342141140
1178656775577a0
1228a49ab20a958
131081a9cc594ba
14605d452688a8
152c536853aa95
hex1635cdd190d4

24420342141140 has 96 divisors (see below), whose sum is σ = 56601158600448. Its totient is φ = 8776535040000.

The previous prime is 24420342141121. The next prime is 24420342141161. The reversal of 24420342141140 is 4114124302442.

It is a super-2 number, since 2×244203421411402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24420342141097 and 24420342141106.

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, 4678580 + ... + 8410100.

It is an arithmetic number, because the mean of its divisors is an integer number (589595402088).

Almost surely, 224420342141140 is an apocalyptic number.

24420342141140 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 24420342141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300579300224).

24420342141140 is an abundant number, since it is smaller than the sum of its proper divisors (32180816459308).

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

24420342141140 is a wasteful number, since it uses less digits than its factorization.

24420342141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731889 (or 3731887 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 24420342141140 its reverse (4114124302442), we get a palindrome (28534466443582).

The spelling of 24420342141140 in words is "twenty-four trillion, four hundred twenty billion, three hundred forty-two million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 197 220 302 394 604 755 788 985 1510 1661 1970 2167 3020 3322 3940 4334 6644 8305 8668 10835 16610 21670 29747 33220 43340 59494 118988 148735 297470 327217 594940 654434 1308868 1636085 3272170 3731521 6544340 7463042 14926084 18657605 37315210 41046731 74630420 82093462 164186924 205233655 410467310 563459671 735109637 820934620 1126919342 1470219274 2253838684 2817298355 2940438548 3675548185 5634596710 6198056381 7351096370 8086206007 11269193420 12396112762 14702192740 16172412014 24792225524 30990281905 32344824028 40431030035 61980563810 80862060070 111001555187 123961127620 161724120140 222003110374 444006220748 555007775935 1110015551870 1221017107057 2220031103740 2442034214114 4884068428228 6105085535285 12210171070570 24420342141140