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514006055112 = 233112997692141
BaseRepresentation
bin1110111101011010010…
…01011111100011001000
31211010201222002000212110
413132231021133203020
531410141022230422
61032044153342320
752064356244304
oct7365511374310
91733658060773
10514006055112
11188a97021a60
128374b7079a0
1339616a99a54
141ac41434d04
15d58556060c
hex77ad25f8c8

514006055112 has 128 divisors (see below), whose sum is σ = 1465126185600. Its totient is φ = 148837785600.

The previous prime is 514006055107. The next prime is 514006055131. The reversal of 514006055112 is 211550600415.

It is a self number, because there is not a number n which added to its sum of digits gives 514006055112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396562 + ... + 1088702.

It is an arithmetic number, because the mean of its divisors is an integer number (11446298325).

Almost surely, 2514006055112 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 514006055112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732563092800).

514006055112 is an abundant number, since it is smaller than the sum of its proper divisors (951120130488).

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

514006055112 is a wasteful number, since it uses less digits than its factorization.

514006055112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692287 (or 692283 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 514006055112 its reverse (211550600415), we get a palindrome (725556655527).

The spelling of 514006055112 in words is "five hundred fourteen billion, six million, fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 97 116 132 174 194 232 264 291 319 348 388 582 638 696 776 957 1067 1164 1276 1914 2134 2328 2552 2813 3201 3828 4268 5626 6402 7656 8439 8536 11252 12804 16878 22504 25608 30943 33756 61886 67512 92829 123772 185658 247544 371316 692141 742632 1384282 2076423 2768564 4152846 5537128 7613551 8305692 15227102 16611384 20072089 22840653 30454204 40144178 45681306 60216267 60908408 67137677 80288356 91362612 120432534 134275354 160576712 182725224 201413031 220792979 240865068 268550708 402826062 441585958 481730136 537101416 662378937 738514447 805652124 883171916 1324757874 1477028894 1611304248 1766343832 1946992633 2215543341 2649515748 2954057788 3893985266 4431086682 5299031496 5840977899 5908115576 7787970532 8862173364 11681955798 15575941064 17724346728 21416918963 23363911596 42833837926 46727823192 64250756889 85667675852 128501513778 171335351704 257003027556 514006055112