Search a number
-
+
514010310352 = 247111871222991
BaseRepresentation
bin1110111101011010110…
…01101110011011010000
31211010202021002012221221
413132231121232123100
531410143114412402
61032044424454424
752064440356250
oct7365531563320
91733667065857
10514010310352
11188a99468a90
128375101a414
1339617929846
141ac41c21960
15d585b01337
hex77ad66e6d0

514010310352 has 80 divisors (see below), whose sum is σ = 1242304487424. Its totient is φ = 200155824000.

The previous prime is 514010310259. The next prime is 514010310361. The reversal of 514010310352 is 253013010415.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2193577 + ... + 2416567.

Almost surely, 2514010310352 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 514010310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621152243712).

514010310352 is an abundant number, since it is smaller than the sum of its proper divisors (728294177072).

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

514010310352 is a wasteful number, since it uses less digits than its factorization.

514010310352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224888 (or 224882 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 514010310352 its reverse (253013010415), we get a palindrome (767023320767).

The spelling of 514010310352 in words is "five hundred fourteen billion, ten million, three hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1871 3742 7484 13097 14968 20581 26194 29936 41162 52388 82324 104776 144067 164648 209552 222991 288134 329296 445982 576268 891964 1152536 1560937 1783928 2305072 2452901 3121874 3567856 4905802 6243748 9811604 12487496 17170307 19623208 24974992 34340614 39246416 68681228 137362456 274724912 417216161 834432322 1668864644 2920513127 3337729288 4589377771 5841026254 6675458576 9178755542 11682052508 18357511084 23364105016 32125644397 36715022168 46728210032 64251288794 73430044336 128502577588 257005155176 514010310352