Search a number
-
+
114301525312 = 2613172475369
BaseRepresentation
bin110101001110011100…
…1101101110101000000
3101221000212111002210101
41222130321231311000
53333042142302222
6124302010212144
711154332635402
oct1523471556500
9357025432711
10114301525312
114452525a807
121a19b424054
13aa17731760
1457645c6b72
152e8ea7d927
hex1a9ce6dd40

114301525312 has 84 divisors (see below), whose sum is σ = 259478813020. Its totient is φ = 49651236864.

The previous prime is 114301525291. The next prime is 114301525337. The reversal of 114301525312 is 213525103411.

It can be written as a sum of positive squares in 6 ways, for example, as 19649310976 + 94652214336 = 140176^2 + 307656^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2764 + ... + 478132.

Almost surely, 2114301525312 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 114301525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129739406510).

114301525312 is an abundant number, since it is smaller than the sum of its proper divisors (145177287708).

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

114301525312 is a wasteful number, since it uses less digits than its factorization.

114301525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475428 (or 475401 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 114301525312 its reverse (213525103411), we get a palindrome (327826628723).

The spelling of 114301525312 in words is "one hundred fourteen billion, three hundred one million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 289 416 442 544 578 832 884 1088 1156 1768 2312 3536 3757 4624 7072 7514 9248 14144 15028 18496 30056 60112 120224 240448 475369 950738 1901476 3802952 6179797 7605904 8081273 12359594 15211808 16162546 24719188 30423616 32325092 49438376 64650184 98876752 105056549 129300368 137381641 197753504 210113098 258600736 274763282 395507008 420226196 517201472 549526564 840452392 1099053128 1680904784 1785961333 2198106256 3361809568 3571922666 4396212512 6723619136 7143845332 8792425024 14287690664 28575381328 57150762656 114301525312