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20314230784 = 2121721312
BaseRepresentation
bin10010111010110100…
…101001000000000000
31221102201210211211221
4102322310221000000
5313100420341114
613155432244424
71316256053431
oct227264510000
957381724757
1020314230784
118684943291
123b2b240714
131bb9818c03
14da9d21488
157dd63b524
hex4bad29000

20314230784 has 117 divisors (see below), whose sum is σ = 43485617641. Its totient is φ = 9486663680.

The previous prime is 20314230751. The next prime is 20314230791. The reversal of 20314230784 is 48703241302.

The square root of 20314230784 is 142528.

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

It can be written as a sum of positive squares in only one way, i.e., 15815577600 + 4498653184 = 125760^2 + 67072^2 .

It is a super-2 number, since 2×203142307842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155070399 + ... + 155070529.

Almost surely, 220314230784 is an apocalyptic number.

20314230784 is the 142528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314230784

20314230784 is an abundant number, since it is smaller than the sum of its proper divisors (23171386857).

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

20314230784 is an frugal number, since it uses more digits than its factorization.

20314230784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 20314230784 in words is "twenty billion, three hundred fourteen million, two hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 131 136 256 262 272 289 512 524 544 578 1024 1048 1088 1156 2048 2096 2176 2227 2312 4096 4192 4352 4454 4624 8384 8704 8908 9248 16768 17161 17408 17816 18496 33536 34322 34816 35632 36992 37859 67072 68644 69632 71264 73984 75718 134144 137288 142528 147968 151436 268288 274576 285056 291737 295936 302872 536576 549152 570112 583474 591872 605744 1098304 1140224 1166948 1183744 1211488 2196608 2280448 2333896 2422976 4393216 4560896 4667792 4845952 4959529 8786432 9121792 9335584 9691904 9919058 17572864 18671168 19383808 19838116 35145728 37342336 38767616 39676232 70291456 74684672 77535232 79352464 149369344 155070464 158704928 298738688 317409856 597477376 634819712 1194954752 1269639424 2539278848 5078557696 10157115392 20314230784