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991494144 = 21632412
BaseRepresentation
bin111011000110010…
…000000000000000
32120002200010021100
4323012100000000
54012310303034
6242215054400
733366363324
oct7306200000
92502603240
10991494144
11469744253
12238071400
1312a54c734
1495975984
155c0a1099
hex3b190000

991494144 has 153 divisors (see below), whose sum is σ = 2935859329. Its totient is φ = 322437120.

The previous prime is 991494113. The next prime is 991494181. The reversal of 991494144 is 441494199.

The square root of 991494144 is 31488.

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

991494144 is a `hidden beast` number, since 99 + 149 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 943718400 = 6912^2 + 30720^2 .

It is a nude number because it is divisible by every one of its digits.

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 991494144.

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, 24182764 + ... + 24182804.

Almost surely, 2991494144 is an apocalyptic number.

991494144 is the 31488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991494144

991494144 is an abundant number, since it is smaller than the sum of its proper divisors (1944365185).

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

991494144 is an frugal number, since it uses more digits than its factorization.

991494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 46 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 991494144 is about 997.1566376196.

Multiplying 991494144 by its product of digits (186624), we get a square (185036603129856 = 136028162).

Subtracting from 991494144 its reverse (441494199), we obtain a palindrome (549999945).

The spelling of 991494144 in words is "nine hundred ninety-one million, four hundred ninety-four 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 1024 1152 1312 1476 1536 1681 1968 2048 2304 2624 2952 3072 3362 3936 4096 4608 5043 5248 5904 6144 6724 7872 8192 9216 10086 10496 11808 12288 13448 15129 15744 16384 18432 20172 20992 23616 24576 26896 30258 31488 32768 36864 40344 41984 47232 49152 53792 60516 62976 65536 73728 80688 83968 94464 98304 107584 121032 125952 147456 161376 167936 188928 196608 215168 242064 251904 294912 322752 335872 377856 430336 484128 503808 589824 645504 671744 755712 860672 968256 1007616 1291008 1343488 1511424 1721344 1936512 2015232 2582016 2686976 3022848 3442688 3873024 4030464 5164032 6045696 6885376 7746048 8060928 10328064 12091392 13770752 15492096 20656128 24182784 27541504 30984192 41312256 55083008 61968384 82624512 110166016 123936768 165249024 247873536 330498048 495747072 991494144