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203400421330304 = 2711715843348221
BaseRepresentation
bin101110001111110111011001…
…110111000100110110000000
3222200011220001002021111112102
4232033313121313010312000
5203130003030330032204
62000332510311445532
760562124024604062
oct5617673167046600
9880156032244472
10203400421330304
115989a6a8226090
121a9904456868a8
1389657677c9493
1438328c0a37732
15187ada21a541e
hexb8fdd9dc4d80

203400421330304 has 128 divisors (see below), whose sum is σ = 448353263957760. Its totient is φ = 91136695552000.

The previous prime is 203400421330259. The next prime is 203400421330361. The reversal of 203400421330304 is 403033124004302.

203400421330304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583938914 + ... + 584287134.

It is an arithmetic number, because the mean of its divisors is an integer number (3502759874670).

Almost surely, 2203400421330304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203400421330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224176631978880).

203400421330304 is an abundant number, since it is smaller than the sum of its proper divisors (244952842627456).

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

203400421330304 is a wasteful number, since it uses less digits than its factorization.

203400421330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354160 (or 354148 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 203400421330304 its reverse (403033124004302), we get a palindrome (606433545334606).

The spelling of 203400421330304 in words is "two hundred three trillion, four hundred billion, four hundred twenty-one million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 284 352 568 704 781 1136 1408 1562 2272 3124 4544 5843 6248 9088 11686 12496 23372 24992 46744 49984 64273 93488 99968 128546 186976 257092 348221 373952 414853 514184 696442 747904 829706 1028368 1392884 1659412 2056736 2785768 3318824 3830431 4113472 4563383 5571536 6637648 7660862 8226944 9126766 11143072 13275296 15321724 18253532 22286144 24723691 26550592 30643448 36507064 44572288 49447382 53101184 61286896 73014128 98894764 122573792 146028256 197789528 245147584 271960601 292056512 395579056 490295168 543921202 584113024 791158112 1087842404 1582316224 2034655303 2175684808 3164632448 4069310606 4351369616 8138621212 8702739232 16277242424 17405478464 22381208333 32554484848 34810956928 44762416666 65108969696 89524833332 130217939392 144460526513 179049666664 260435878784 288921053026 358099333328 577842106052 716198666656 1155684212104 1432397333312 1589065791643 2311368424208 2864794666624 3178131583286 4622736848416 6356263166572 9245473696832 12712526333144 18490947393664 25425052666288 50850105332576 101700210665152 203400421330304