Search a number
-
+
503024430400000 = 2955314390269
BaseRepresentation
bin111001001011111111000000…
…0011111001100001000000000
32102222001122222102221211101021
41302113332000133030020000
51011413023013140300000
64541502122205315224
7210645213213246655
oct16227760037141000
92388048872854337
10503024430400000
11136308510160673
1248501607b65b14
131878b000716582
148c30725bc7c2c
153d24c46cee11a
hex1c97f807cc200

503024430400000 has 120 divisors (see below), whose sum is σ = 1256252587696260. Its totient is φ = 201209771520000.

The previous prime is 503024430399979. The next prime is 503024430400013. The reversal of 503024430400000 is 4034420305.

It can be written as a sum of positive squares in 6 ways, for example, as 52539766458624 + 450484663941376 = 7248432^2 + 21224624^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155595135 + ... + 158795134.

Almost surely, 2503024430400000 is an apocalyptic number.

503024430400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

503024430400000 is an abundant number, since it is smaller than the sum of its proper divisors (753228157296260).

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

503024430400000 is an frugal number, since it uses more digits than its factorization.

503024430400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314390312 (or 314390276 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 503024430400000 its reverse (4034420305), we get a palindrome (503028464820305).

The spelling of 503024430400000 in words is "five hundred three trillion, twenty-four billion, four hundred thirty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 100000 160000 200000 320000 400000 800000 1600000 314390269 628780538 1257561076 1571951345 2515122152 3143902690 5030244304 6287805380 7859756725 10060488608 12575610760 15719513450 20120977216 25151221520 31439026900 39298783625 40241954432 50302443040 62878053800 78597567250 80483908864 100604886080 125756107600 157195134500 160967817728 196493918125 201209772160 251512215200 314390269000 392987836250 402419544320 503024430400 628780538000 785975672500 804839088640 982469590625 1006048860800 1257561076000 1571951345000 1964939181250 2012097721600 2515122152000 3143902690000 3929878362500 4024195443200 5030244304000 6287805380000 7859756725000 10060488608000 12575610760000 15719513450000 20120977216000 25151221520000 31439026900000 50302443040000 62878053800000 100604886080000 125756107600000 251512215200000 503024430400000