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305042053512 = 233783157139339
BaseRepresentation
bin1000111000001011110…
…11000101100110001000
31002011100220102212212210
410130011323011212020
514444211231203022
6352045005505120
731016140446660
oct4340573054610
91064326385783
10305042053512
11108405317779
124b151b721a0
13229c45c2921
1410a9aa2d1a0
157e05170a0c
hex4705ec5988

305042053512 has 128 divisors (see below), whose sum is σ = 887673830400. Its totient is φ = 85555761408.

The previous prime is 305042053489. The next prime is 305042053577. The reversal of 305042053512 is 215350240503.

It is a super-3 number, since 3×3050420535123 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305042053512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2119539 + ... + 2258877.

It is an arithmetic number, because the mean of its divisors is an integer number (6934951800).

Almost surely, 2305042053512 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 305042053512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443836915200).

305042053512 is an abundant number, since it is smaller than the sum of its proper divisors (582631776888).

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

305042053512 is a wasteful number, since it uses less digits than its factorization.

305042053512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139595 (or 139591 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 305042053512 in words is "three hundred five billion, forty-two million, fifty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 157 166 168 249 314 332 471 498 581 628 664 942 996 1099 1162 1256 1743 1884 1992 2198 2324 3297 3486 3768 4396 4648 6594 6972 8792 13031 13188 13944 26062 26376 39093 52124 78186 91217 104248 139339 156372 182434 273651 278678 312744 364868 418017 547302 557356 729736 836034 975373 1094604 1114712 1672068 1950746 2189208 2926119 3344136 3901492 5852238 7802984 11565137 11704476 21876223 23130274 23408952 34695411 43752446 46260548 65628669 69390822 80955959 87504892 92521096 131257338 138781644 153133561 161911918 175009784 242867877 262514676 277563288 306267122 323823836 459400683 485735754 525029352 612534244 647647672 918801366 971471508 1225068488 1815726509 1837602732 1942943016 3631453018 3675205464 5447179527 7262906036 10894359054 12710085563 14525812072 21788718108 25420171126 38130256689 43577436216 50840342252 76260513378 101680684504 152521026756 305042053512