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20241324040 = 2357179414519
BaseRepresentation
bin10010110110011110…
…100001100000001000
31221020122121210121011
4102312132201200020
5312423234332130
613144305453304
71314412262350
oct226636414010
957218553534
1020241324040
118647777383
123b0a941234
131ba76a0322
14da0383b60
157d703952a
hex4b67a1808

20241324040 has 128 divisors (see below), whose sum is σ = 55181606400. Its totient is φ = 6523269120.

The previous prime is 20241323983. The next prime is 20241324053. The reversal of 20241324040 is 4042314202.

It is a happy number.

It is a super-2 number, since 2×202413240402 (a number of 21 digits) contains 22 as substring.

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, 4476901 + ... + 4481419.

It is an arithmetic number, because the mean of its divisors is an integer number (431106300).

Almost surely, 220241324040 is an apocalyptic number.

20241324040 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 20241324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27590803200).

20241324040 is an abundant number, since it is smaller than the sum of its proper divisors (34940282360).

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

20241324040 is a wasteful number, since it uses less digits than its factorization.

20241324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20241324040 its reverse (4042314202), we get a palindrome (24283638242).

The spelling of 20241324040 in words is "twenty billion, two hundred forty-one million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 941 952 1190 1882 2380 3764 4519 4705 4760 6587 7528 9038 9410 13174 15997 18076 18820 22595 26348 31633 31994 32935 36152 37640 45190 52696 63266 63988 65870 76823 79985 90380 111979 126532 127976 131740 153646 158165 159970 180760 223958 253064 263480 307292 316330 319940 384115 447916 537761 559895 614584 632660 639880 768230 895832 1075522 1119790 1265320 1536460 2151044 2239580 2688805 3072920 4252379 4302088 4479160 5377610 8504758 10755220 17009516 21261895 21510440 29766653 34019032 42523790 59533306 72290443 85047580 119066612 144580886 148833265 170095160 238133224 289161772 297666530 361452215 506033101 578323544 595333060 722904430 1012066202 1190666120 1445808860 2024132404 2530165505 2891617720 4048264808 5060331010 10120662020 20241324040