Search a number
-
+
503145520000 = 275442114939
BaseRepresentation
bin1110101001001011100…
…11110101101110000000
31210002201002001200111021
413110211303311232000
531220420223120000
61023050350355224
751231262232524
oct7244563655600
91702632050437
10503145520000
11184423590202
128161a4bbb14
13385a5a23006
141a4d0ca9d84
15d14bd6e11a
hex7525cf5b80

503145520000 has 160 divisors (see below), whose sum is σ = 1255608545400. Its totient is φ = 200766720000.

The previous prime is 503145519997. The next prime is 503145520001. The reversal of 503145520000 is 25541305.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503145520001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33672531 + ... + 33687469.

Almost surely, 2503145520000 is an apocalyptic number.

503145520000 is a gapful number since it is divisible by the number (50) 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 503145520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627804272700).

503145520000 is an abundant number, since it is smaller than the sum of its proper divisors (752463025400).

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

503145520000 is an equidigital number, since it uses as much as digits as its factorization.

503145520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15394 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 503145520000 in words is "five hundred three billion, one hundred forty-five million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 421 500 625 640 800 842 1000 1250 1600 1684 2000 2105 2500 3200 3368 4000 4210 5000 6736 8000 8420 10000 10525 13472 14939 16000 16840 20000 21050 26944 29878 33680 40000 42100 52625 53888 59756 67360 74695 80000 84200 105250 119512 134720 149390 168400 210500 239024 263125 269440 298780 336800 373475 421000 478048 526250 597560 673600 746950 842000 956096 1052500 1195120 1347200 1493900 1684000 1867375 1912192 2105000 2390240 2987800 3368000 3734750 4210000 4780480 5975600 6289319 6736000 7469500 8420000 9336875 9560960 11951200 12578638 14939000 16840000 18673750 23902400 25157276 29878000 31446595 33680000 37347500 47804800 50314552 59756000 62893190 74695000 100629104 119512000 125786380 149390000 157232975 201258208 239024000 251572760 298780000 314465950 402516416 503145520 597560000 628931900 786164875 805032832 1006291040 1195120000 1257863800 1572329750 2012582080 2515727600 3144659500 3930824375 4025164160 5031455200 6289319000 7861648750 10062910400 12578638000 15723297500 20125820800 25157276000 31446595000 50314552000 62893190000 100629104000 125786380000 251572760000 503145520000