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30142515456 = 283236172
BaseRepresentation
bin11100000100101000…
…100100100100000000
32212210200110102211100
4130010220210210000
5443212440443311
621503002414400
72114650103544
oct340450444400
985720412740
1030142515456
1111868733aa9
125a12801400
132ac4a73381
14165d345a24
15bb63caa56
hex704a24900

30142515456 has 81 divisors (see below), whose sum is σ = 86932337401. Its totient is φ = 10044727296.

The previous prime is 30142515421. The next prime is 30142515463. The reversal of 30142515456 is 65451524103.

The square root of 30142515456 is 173616.

It is a perfect power (a square), and thus also a powerful number.

30142515456 is a `hidden beast` number, since 30 + 1 + 425 + 154 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149817600 + 29992697856 = 12240^2 + 173184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30142515456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8331760 + ... + 8335376.

Almost surely, 230142515456 is an apocalyptic number.

30142515456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30142515456 is the 173616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142515456

30142515456 is an abundant number, since it is smaller than the sum of its proper divisors (56789821945).

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

30142515456 is an frugal number, since it uses more digits than its factorization.

30142515456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 30142515456 by its sum of digits (36), we get a square (1085130556416 = 10416962).

30142515456 divided by its sum of digits (36) gives a square (837292096 = 289362).

The spelling of 30142515456 in words is "thirty billion, one hundred forty-two million, five hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3617 7234 10851 14468 21702 28936 32553 43404 57872 65106 86808 115744 130212 173616 231488 260424 347232 462976 520848 694464 925952 1041696 1388928 2083392 2777856 4166784 8333568 13082689 26165378 39248067 52330756 78496134 104661512 117744201 156992268 209323024 235488402 313984536 418646048 470976804 627969072 837292096 941953608 1255938144 1674584192 1883907216 2511876288 3349168384 3767814432 5023752576 7535628864 10047505152 15071257728 30142515456