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404023202320140 = 2232513193894608747
BaseRepresentation
bin101101111011101001111101…
…1011101001000111100001100
31221222112020111122012210201100
41123313103323131020330030
5410424004004243221030
63551141410303143100
7151046466410254614
oct13367237335107414
91858466448183640
10404023202320140
11107809306934857
12393924a0ba4a90
13144592bc2c29b0
1471aab8229da44
1531a9886060360
hex16f74fb748f0c

404023202320140 has 144 divisors (see below), whose sum is σ = 1326647518324128. Its totient is φ = 98936570437632.

The previous prime is 404023202320123. The next prime is 404023202320163. The reversal of 404023202320140 is 41023202320404.

404023202320140 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 320 + 2 + 320 + 14 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446852754 + ... + 447755993.

It is an arithmetic number, because the mean of its divisors is an integer number (9212829988362).

Almost surely, 2404023202320140 is an apocalyptic number.

It is an amenable number.

404023202320140 is an abundant number, since it is smaller than the sum of its proper divisors (922624316003988).

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

404023202320140 is a wasteful number, since it uses less digits than its factorization.

404023202320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894608968 (or 894608963 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 404023202320140 its reverse (41023202320404), we get a palindrome (445046404640544).

The spelling of 404023202320140 in words is "four hundred four trillion, twenty-three billion, two hundred two million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 193 195 234 260 386 390 468 579 585 772 780 965 1158 1170 1737 1930 2316 2340 2509 2895 3474 3860 5018 5790 6948 7527 8685 10036 11580 12545 15054 17370 22581 25090 30108 34740 37635 45162 50180 75270 90324 112905 150540 225810 451620 894608747 1789217494 2683826241 3578434988 4473043735 5367652482 8051478723 8946087470 10735304964 11629913711 13419131205 16102957446 17892174940 23259827422 26838262410 32205914892 34889741133 40257393615 46519654844 53676524820 58149568555 69779482266 80514787230 104669223399 116299137110 139558964532 161029574460 172659488171 174448705665 209338446798 232598274220 345318976342 348897411330 418676893596 517978464513 523346116995 690637952684 697794822660 863297440855 1035956929026 1046692233990 1553935393539 1726594881710 2071913858052 2093384467980 2244573346223 2589892322565 3107870787078 3453189763420 4489146692446 5179784645130 6215741574156 6733720038669 7769676967695 8978293384892 10359569290260 11222866731115 13467440077338 15539353935390 20201160116007 22445733462230 26934880154676 31078707870780 33668600193345 40402320232014 44891466924460 67337200386690 80804640464028 101005800580035 134674400773380 202011601160070 404023202320140