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994383907344 = 243223236132
BaseRepresentation
bin11100111100001011110…
…01100100101000010000
310112001200022202100200100
432132011321210220100
5112242444240013334
62040451430052400
7131561521516032
oct16360571445020
93461608670610
10994383907344
11353796879403
121408751aa100
1372a018c85a9
14361b260dc52
151aced6b3c99
hexe785e64a10

994383907344 has 135 divisors (see below), whose sum is σ = 2909955317997. Its totient is φ = 316962188928.

The previous prime is 994383907327. The next prime is 994383907399. The reversal of 994383907344 is 443709383499.

The square root of 994383907344 is 997188.

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

994383907344 is a `hidden beast` number, since 9 + 9 + 438 + 3 + 90 + 73 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 550371600 + 993833535744 = 23460^2 + 996912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275222082 + ... + 275225694.

Almost surely, 2994383907344 is an apocalyptic number.

994383907344 is the 997188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994383907344

994383907344 is an abundant number, since it is smaller than the sum of its proper divisors (1915571410653).

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

994383907344 is an equidigital number, since it uses as much as digits as its factorization.

994383907344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 994383907344 in words is "nine hundred ninety-four billion, three hundred eighty-three million, nine hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1587 1656 2116 3174 3312 3613 4232 4761 6348 7226 8464 9522 10839 12696 14452 19044 21678 25392 28904 32517 38088 43356 57808 65034 76176 83099 86712 130068 166198 173424 249297 260136 332396 498594 520272 664792 747891 997188 1329584 1495782 1911277 1994376 2991564 3822554 3988752 5733831 5983128 7645108 11467662 11966256 13053769 15290216 17201493 22935324 26107538 30580432 34402986 39161307 45870648 52215076 68805972 78322614 91741296 104430152 117483921 137611944 156645228 208860304 234967842 275223888 300236687 313290456 469935684 600473374 626580912 900710061 939871368 1200946748 1801420122 1879742736 2401893496 2702130183 3602840244 4803786992 5404260366 6905443801 7205680488 10808520732 13810887602 14411360976 20716331403 21617041464 27621775204 41432662806 43234082928 55243550408 62148994209 82865325612 110487100816 124297988418 165730651224 248595976836 331461302448 497191953672 994383907344