Search a number
-
+
145142428288 = 2711137929547
BaseRepresentation
bin1000011100101100101…
…0011011001010000000
3111212122020002022012011
42013023022123022000
54334222430201123
6150402201542304
713325523166414
oct2071312331200
9455566068164
10145142428288
1156611131680
1224167aa4994
13108c109b280
14704c5a6d44
153b9740de0d
hex21cb29b280

145142428288 has 64 divisors (see below), whose sum is σ = 339701836320. Its totient is φ = 60898913280.

The previous prime is 145142428259. The next prime is 145142428369. The reversal of 145142428288 is 882824241541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1451424282882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3946470 + ... + 3983077.

Almost surely, 2145142428288 is an apocalyptic number.

It is an amenable number.

145142428288 is an abundant number, since it is smaller than the sum of its proper divisors (194559408032).

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

145142428288 is a wasteful number, since it uses less digits than its factorization.

145142428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929585 (or 7929573 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 49.

The spelling of 145142428288 in words is "one hundred forty-five billion, one hundred forty-two million, four hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 18304 7929547 15859094 31718188 63436376 87225017 103084111 126872752 174450034 206168222 253745504 348900068 412336444 507491008 697800136 824672888 1014982016 1133925221 1395600272 1649345776 2267850442 2791200544 3298691552 4535700884 5582401088 6597383104 9071401768 11164802176 13194766208 18142803536 36285607072 72571214144 145142428288