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200343040020 = 2232510714537159
BaseRepresentation
bin1011101010010101100…
…0000011000000010100
3201011010020202220221100
42322211120003000110
511240300304240040
6232011502350100
720321454512454
oct2724530030024
9634106686840
10200343040020
1177a68472252
12329b258b330
1315b7a409436
1499a7899d64
155328635b30
hex2ea5603014

200343040020 has 144 divisors (see below), whose sum is σ = 613894619520. Its totient is φ = 52881700608.

The previous prime is 200343039931. The next prime is 200343040033. The reversal of 200343040020 is 20040343002.

200343040020 is a `hidden beast` number, since 200 + 3 + 43 + 0 + 400 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200343039975 and 200343040002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27981201 + ... + 27988359.

It is an arithmetic number, because the mean of its divisors is an integer number (4263157080).

Almost surely, 2200343040020 is an apocalyptic number.

200343040020 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 200343040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306947309760).

200343040020 is an abundant number, since it is smaller than the sum of its proper divisors (413551579500).

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

200343040020 is a wasteful number, since it uses less digits than its factorization.

200343040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8734 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 200343040020 its reverse (20040343002), we get a palindrome (220383383022).

The spelling of 200343040020 in words is "two hundred billion, three hundred forty-three million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1453 1605 1926 2140 2906 3210 3852 4359 4815 5812 6420 7159 7265 8718 9630 13077 14318 14530 17436 19260 21477 21795 26154 28636 29060 35795 42954 43590 52308 64431 65385 71590 85908 87180 107385 128862 130770 143180 155471 214770 257724 261540 310942 322155 429540 466413 621884 644310 766013 777355 932826 1288620 1399239 1532026 1554710 1865652 2298039 2332065 2798478 3064052 3109420 3830065 4596078 4664130 5596956 6894117 6996195 7660130 9192156 9328260 10402027 11490195 13788234 13992390 15320260 20804054 22980390 27576468 27984780 31206081 34470585 41608108 45960780 52010135 62412162 68941170 93618243 104020270 124824324 137882340 156030405 187236486 208040540 312060810 374472972 468091215 624121620 936182430 1113016889 1872364860 2226033778 3339050667 4452067556 5565084445 6678101334 10017152001 11130168890 13356202668 16695253335 20034304002 22260337780 33390506670 40068608004 50085760005 66781013340 100171520010 200343040020