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20201012440 = 235736412297
BaseRepresentation
bin10010110100000100…
…101111110011011000
31221010211202202110221
4102310010233303120
5312332424344230
613140305445424
71313412526000
oct226404576330
957124682427
1020201012440
118626a43704
123ab9340874
131b9c2279cb
14d98c8d000
157d372527a
hex4b412fcd8

20201012440 has 128 divisors (see below), whose sum is σ = 53111376000. Its totient is φ = 6912245760.

The previous prime is 20201012413. The next prime is 20201012449. The reversal of 20201012440 is 4421010202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201012449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8793372 + ... + 8795668.

It is an arithmetic number, because the mean of its divisors is an integer number (414932625).

Almost surely, 220201012440 is an apocalyptic number.

20201012440 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 20201012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26555688000).

20201012440 is an abundant number, since it is smaller than the sum of its proper divisors (32910363560).

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

20201012440 is a wasteful number, since it uses less digits than its factorization.

20201012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20201012440 its reverse (4421010202), we get a palindrome (24622022642).

The spelling of 20201012440 in words is "twenty billion, two hundred one million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 641 686 980 1282 1372 1715 1960 2297 2564 2744 3205 3430 4487 4594 5128 6410 6860 8974 9188 11485 12820 13720 16079 17948 18376 22435 22970 25640 31409 32158 35896 44870 45940 62818 64316 80395 89740 91880 112553 125636 128632 157045 160790 179480 219863 225106 251272 314090 321580 439726 450212 562765 628180 643160 787871 879452 900424 1099315 1125530 1256360 1472377 1575742 1758904 2198630 2251060 2944754 3151484 3939355 4397260 4502120 5889508 6302968 7361885 7878710 8794520 10306639 11779016 14723770 15757420 20613278 29447540 31514840 41226556 51533195 58895080 72146473 82453112 103066390 144292946 206132780 288585892 360732365 412265560 505025311 577171784 721464730 1010050622 1442929460 2020101244 2525126555 2885858920 4040202488 5050253110 10100506220 20201012440