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20317081444 = 22114192312
BaseRepresentation
bin10010111010111111…
…100000111101100100
31221102221011200012221
4102322333200331210
5313102133101234
613200013322124
71316322225412
oct227277407544
957387150187
1020317081444
118686510000
123b30196344
131bba2a65aa
14daa4642b2
157dda00eb4
hex4bafe0f64

20317081444 has 135 divisors (see below), whose sum is σ = 42651370755. Its totient is φ = 8466757200.

The previous prime is 20317081439. The next prime is 20317081457. The reversal of 20317081444 is 44418071302.

It is a happy number.

The square root of 20317081444 is 142538.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 655389709 + ... + 655389739.

Almost surely, 220317081444 is an apocalyptic number.

20317081444 is the 142538-th square number.

It is an amenable number.

20317081444 is an abundant number, since it is smaller than the sum of its proper divisors (22334289311).

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

20317081444 is an equidigital number, since it uses as much as digits as its factorization.

20317081444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 20317081444 in words is "twenty billion, three hundred seventeen million, eighty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 121 124 209 242 341 361 418 484 589 682 722 836 961 1178 1331 1364 1444 1922 2299 2356 2662 3751 3844 3971 4598 5324 6479 7502 7942 9196 10571 11191 12958 14641 15004 15884 18259 21142 22382 25289 25916 29282 36518 41261 42284 43681 44764 50578 58564 71269 73036 82522 87362 101156 116281 123101 142538 165044 174724 200849 232562 246202 278179 285076 346921 401698 453871 465124 480491 492404 556358 693842 783959 803396 907742 960982 1112716 1279091 1354111 1387684 1567918 1815484 1921964 2209339 2558182 2708222 3135836 3816131 4418678 5116364 5285401 5416444 7632262 8623549 8837356 10570802 14070001 14895221 15264524 17247098 21141604 24302729 28140002 29790442 34494196 41977441 48605458 56280004 59580884 83954882 97210916 163847431 167909764 267330019 327694862 461751851 534660038 655389724 923503702 1069320076 1847007404 5079270361 10158540722 20317081444