Search a number
-
+
404316000458112 = 27341137187449929
BaseRepresentation
bin101101111101110010010011…
…1100101011001010110000000
31222000120020021020120100000210
41123323210213211121112000
5410443303132104124422
63551524112331314120
7151106603255340051
oct13373444745312600
91860506236510023
10404316000458112
111079114a8842566
123941b1965ab940
131447aab205b982
1471baddab3a728
1531b22c132e10c
hex16fb927959580

404316000458112 has 128 divisors (see below), whose sum is σ = 1108188990165600. Its totient is φ = 130525133864960.

The previous prime is 404316000457951. The next prime is 404316000458113. The reversal of 404316000458112 is 211854000613404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404316000458113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91568037 + ... + 95881892.

Almost surely, 2404316000458112 is an apocalyptic number.

It is an amenable number.

404316000458112 is an abundant number, since it is smaller than the sum of its proper divisors (703872989707488).

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

404316000458112 is a wasteful number, since it uses less digits than its factorization.

404316000458112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187450124 (or 187450112 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 404316000458112 in words is "four hundred four trillion, three hundred sixteen billion, four hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 137 164 192 246 274 328 384 411 492 548 656 822 984 1096 1312 1644 1968 2192 2624 3288 3936 4384 5248 5617 6576 7872 8768 11234 13152 15744 16851 17536 22468 26304 33702 44936 52608 67404 89872 134808 179744 269616 359488 539232 718976 1078464 2156928 187449929 374899858 562349787 749799716 1124699574 1499599432 2249399148 2999198864 4498798296 5998397728 7685447089 8997596592 11996795456 15370894178 17995193184 23056341267 23993590912 25680640273 30741788356 35990386368 46112682534 51361280546 61483576712 71980772736 77041920819 92225365068 102722561092 122967153424 154083841638 184450730136 205445122184 245934306848 308167683276 368901460272 410890244368 491868613696 616335366552 737802920544 821780488736 983737227392 1052906251193 1232670733104 1475605841088 1643560977472 2105812502386 2465341466208 2951211682176 3158718753579 3287121954944 4211625004772 4930682932416 6317437507158 8423250009544 9861365864832 12634875014316 16846500019088 25269750028632 33693000038176 50539500057264 67386000076352 101079000114528 134772000152704 202158000229056 404316000458112