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503430504440 = 2357310112713441
BaseRepresentation
bin1110101001101101100…
…10111101111111111000
31210010102221022101122112
413110312302331333320
531222011202120230
61023134530511452
751241322453123
oct7246662757770
91703387271575
10503430504440
1118455a439236
1281699a35588
133861ca94366
141a51aa913ba
15d166db3d95
hex7536cbdff8

503430504440 has 128 divisors (see below), whose sum is σ = 1168821688320. Its totient is φ = 195084288000.

The previous prime is 503430504419. The next prime is 503430504457. The reversal of 503430504440 is 44405034305.

It is a junction number, because it is equal to n+sod(n) for n = 503430504397 and 503430504406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37448120 + ... + 37461560.

It is an arithmetic number, because the mean of its divisors is an integer number (9131419440).

Almost surely, 2503430504440 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 503430504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584410844160).

503430504440 is an abundant number, since it is smaller than the sum of its proper divisors (665391183880).

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

503430504440 is a wasteful number, since it uses less digits than its factorization.

503430504440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 503430504440 its reverse (44405034305), we get a palindrome (547835538745).

The spelling of 503430504440 in words is "five hundred three billion, four hundred thirty million, five hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 101 127 146 202 254 292 365 404 505 508 584 635 730 808 1010 1016 1270 1460 2020 2540 2920 4040 5080 7373 9271 12827 13441 14746 18542 25654 26882 29492 36865 37084 46355 51308 53764 58984 64135 67205 73730 74168 92710 102616 107528 128270 134410 147460 185420 256540 268820 294920 370840 513080 537640 936371 981193 1357541 1707007 1872742 1962386 2715082 3414014 3745484 3924772 4681855 4905965 5430164 6787705 6828028 7490968 7849544 8535035 9363710 9811930 10860328 13575410 13656056 17070070 18727420 19623860 27150820 34140140 37454840 39247720 54301640 68280280 99100493 124611511 172407707 198200986 249223022 344815414 396401972 495502465 498446044 623057555 689630828 792803944 862038535 991004930 996892088 1246115110 1379261656 1724077070 1982009860 2492230220 3448154140 3964019720 4984460440 6896308280 12585762611 25171525222 50343050444 62928813055 100686100888 125857626110 251715252220 503430504440