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42534002304 = 2732231605299
BaseRepresentation
bin100111100111001110…
…010101111010000000
311001210021020012011200
4213213032111322000
51144102201033204
631312335141200
73034014024423
oct474716257200
9131707205150
1042534002304
1117047376522
1282b0674800
13401b058601
1420b6d4d9ba
15118e1cc539
hex9e7395e80

42534002304 has 96 divisors (see below), whose sum is σ = 127717668000. Its totient is φ = 13561557504.

The previous prime is 42534002279. The next prime is 42534002317. The reversal of 42534002304 is 40320043524.

42534002304 is a `hidden beast` number, since 4 + 25 + 3 + 400 + 230 + 4 = 666.

42534002304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776154 + ... + 829145.

It is an arithmetic number, because the mean of its divisors is an integer number (1330392375).

Almost surely, 242534002304 is an apocalyptic number.

It is an amenable number.

42534002304 is an abundant number, since it is smaller than the sum of its proper divisors (85183665696).

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

42534002304 is a wasteful number, since it uses less digits than its factorization.

42534002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605342 (or 1605327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42534002304 its reverse (40320043524), we get a palindrome (82854045828).

The spelling of 42534002304 in words is "forty-two billion, five hundred thirty-four million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 1605299 3210598 4815897 6421196 9631794 12842392 14447691 19263588 25684784 28895382 36921877 38527176 51369568 57790764 73843754 77054352 102739136 110765631 115581528 147687508 154108704 205478272 221531262 231163056 295375016 308217408 332296893 443062524 462326112 590750032 616434816 664593786 886125048 924652224 1181500064 1329187572 1772250096 1849304448 2363000128 2658375144 3544500192 4726000256 5316750288 7089000384 10633500576 14178000768 21267001152 42534002304