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316052550144 = 2932411672873
BaseRepresentation
bin1001001100101100011…
…00110011001000000000
31010012210020122001210100
410212112030303020000
520134233423101034
6401105331002400
731556035231152
oct4462614631000
91105706561710
10316052550144
11112045474871
1251305439400
1323a5a753ba6
1411423072ad2
15834bad5099
hex4996333200

316052550144 has 120 divisors (see below), whose sum is σ = 934397155692. Its totient is φ = 102781255680.

The previous prime is 316052550137. The next prime is 316052550169. The reversal of 316052550144 is 441055250613.

316052550144 is a `hidden beast` number, since 3 + 1 + 60 + 5 + 2 + 550 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313725452544 + 2327097600 = 560112^2 + 48240^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 316052550099 and 316052550108.

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, 647509 + ... + 1025364.

Almost surely, 2316052550144 is an apocalyptic number.

It is an amenable number.

316052550144 is an abundant number, since it is smaller than the sum of its proper divisors (618344605548).

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

316052550144 is a wasteful number, since it uses less digits than its factorization.

316052550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672938 (or 1672919 counting only the distinct ones).

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

The spelling of 316052550144 in words is "three hundred sixteen billion, fifty-two million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1152 1312 1476 1536 1968 2304 2624 2952 3936 4608 5248 5904 7872 10496 11808 15744 20992 23616 31488 47232 62976 94464 188928 1672873 3345746 5018619 6691492 10037238 13382984 15055857 20074476 26765968 30111714 40148952 53531936 60223428 68587793 80297904 107063872 120446856 137175586 160595808 205763379 214127744 240893712 274351172 321191616 411526758 428255488 481787424 548702344 617290137 642383232 823053516 856510976 963574848 1097404688 1234580274 1284766464 1646107032 1927149696 2194809376 2469160548 2569532928 3292214064 3854299392 4389618752 4938321096 6584428128 7708598784 8779237504 9876642192 13168856256 17558475008 19753284384 26337712512 35116950016 39506568768 52675425024 79013137536 105350850048 158026275072 316052550144