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203434001422440 = 233518153031766209
BaseRepresentation
bin101110010000010110101011…
…011000111101100001101000
3222200022002201100010221001120
4232100112223120331201220
5203131030313331004230
62000400142353415240
760564423125641245
oct5620265330754150
9880262640127046
10203434001422440
115990296a320348
121a996a5756a520
1389689897c1199
14383438872c5cc
15187bbba25c310
hexb905ab63d868

203434001422440 has 128 divisors (see below), whose sum is σ = 613789908076800. Its totient is φ = 53939144540160.

The previous prime is 203434001422433. The next prime is 203434001422451. The reversal of 203434001422440 is 44224100434302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114298056 + ... + 116064264.

It is an arithmetic number, because the mean of its divisors is an integer number (4795233656850).

Almost surely, 2203434001422440 is an apocalyptic number.

203434001422440 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 203434001422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306894954038400).

203434001422440 is an abundant number, since it is smaller than the sum of its proper divisors (410355906654360).

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

203434001422440 is a wasteful number, since it uses less digits than its factorization.

203434001422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771707 (or 1771703 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 203434001422440 its reverse (44224100434302), we get a palindrome (247658101856742).

The spelling of 203434001422440 in words is "two hundred three trillion, four hundred thirty-four billion, one million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5303 5430 7240 10606 10860 15909 21212 21720 26515 31818 42424 53030 63636 79545 106060 127272 159090 212120 318180 636360 959843 1766209 1919686 2879529 3532418 3839372 4799215 5298627 5759058 7064836 7678744 8831045 9598430 10597254 11518116 14129672 14397645 17662090 19196860 21194508 23036232 26493135 28795290 35324180 38393720 42389016 52986270 57590580 70648360 105972540 115181160 211945080 319683829 639367658 959051487 1278735316 1598419145 1918102974 2557470632 3196838290 3836205948 4795257435 6393676580 7672411896 9366206327 9590514870 12787353160 18732412654 19181029740 28098618981 37464825308 38362059480 46831031635 56197237962 74929650616 93662063270 112394475924 140493094905 187324126540 224788951848 280986189810 374648253080 561972379620 1123944759240 1695283345187 3390566690374 5085850035561 6781133380748 8476416725935 10171700071122 13562266761496 16952833451870 20343400142244 25429250177805 33905666903740 40686800284488 50858500355610 67811333807480 101717000711220 203434001422440