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20201124440 = 23576710131063
BaseRepresentation
bin10010110100000101…
…001011001001011000
31221010211222110010002
4102310011023021120
5312332441440230
613140312112132
71313413503350
oct226405131130
957124873102
1020201124440
11862700a872
123ab9395648
131b9c266993
14d98cbbb60
157d3748545
hex4b414b258

20201124440 has 128 divisors (see below), whose sum is σ = 52822748160. Its totient is φ = 6809577984.

The previous prime is 20201124421. The next prime is 20201124451. The reversal of 20201124440 is 4442110202.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19003349 + ... + 19004411.

It is an arithmetic number, because the mean of its divisors is an integer number (412677720).

Almost surely, 220201124440 is an apocalyptic number.

20201124440 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 20201124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411374080).

20201124440 is an abundant number, since it is smaller than the sum of its proper divisors (32621623720).

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

20201124440 is a wasteful number, since it uses less digits than its factorization.

20201124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20201124440 its reverse (4442110202), we get a palindrome (24643234642).

The spelling of 20201124440 in words is "twenty billion, two hundred one million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1013 1063 1340 1876 2026 2126 2345 2680 3752 4052 4252 4690 5065 5315 7091 7441 8104 8504 9380 10130 10630 14182 14882 18760 20260 21260 28364 29764 35455 37205 40520 42520 56728 59528 67871 70910 71221 74410 135742 141820 142442 148820 271484 283640 284884 297640 339355 356105 475097 498547 542968 569768 678710 712210 950194 997094 1076819 1357420 1424420 1900388 1994188 2153638 2375485 2492735 2714840 2848840 3800776 3988376 4307276 4750970 4985470 5384095 7537733 8614552 9501940 9970940 10768190 15075466 19003880 19941880 21536380 30150932 37688665 43072760 60301864 72146873 75377330 144293746 150754660 288587492 301509320 360734365 505028111 577174984 721468730 1010056222 1442937460 2020112444 2525140555 2885874920 4040224888 5050281110 10100562220 20201124440