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503140917248 = 2131724612
BaseRepresentation
bin1110101001001011000…
…10010010000000000000
31210002200202101211200222
413110211202102000000
531220413033322443
61023050104002212
751231205142444
oct7244542220000
91702622354628
10503140917248
11184420a27082
1281618a60368
13385a4aa0ca8
141a4d042c824
15d14b760468
hex7525892000

503140917248 has 126 divisors (see below), whose sum is σ = 1071215250123. Its totient is φ = 236258590720.

The previous prime is 503140917217. The next prime is 503140917259. The reversal of 503140917248 is 842719041305.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 307394842624 + 195746074624 = 554432^2 + 442432^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=501568.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 503140917199 and 503140917208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1091411738 + ... + 1091412198.

Almost surely, 2503140917248 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 503140917248

503140917248 is an abundant number, since it is smaller than the sum of its proper divisors (568074332875).

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

503140917248 is an frugal number, since it uses more digits than its factorization.

503140917248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 503140917248 in words is "five hundred three billion, one hundred forty million, nine hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 461 512 544 578 922 1024 1088 1156 1844 2048 2176 2312 3688 4096 4352 4624 7376 7837 8192 8704 9248 14752 15674 17408 18496 29504 31348 34816 36992 59008 62696 69632 73984 118016 125392 133229 139264 147968 212521 236032 250784 266458 295936 425042 472064 501568 532916 591872 850084 944128 1003136 1065832 1183744 1700168 1888256 2006272 2131664 2367488 3400336 3612857 3776512 4012544 4263328 6800672 7225714 8025088 8526656 13601344 14451428 16050176 17053312 27202688 28902856 32100352 34106624 54405376 57805712 61418569 64200704 68213248 108810752 115611424 122837138 136426496 217621504 231222848 245674276 272852992 435243008 462445696 491348552 545705984 870486016 924891392 982697104 1091411968 1740972032 1849782784 1965394208 3699565568 3930788416 7399131136 7861576832 14798262272 15723153664 29596524544 31446307328 62892614656 125785229312 251570458624 503140917248