Search a number
-
+
194040292140 = 223253729639833
BaseRepresentation
bin1011010010110110110…
…0111110001100101100
3200112212000001011020200
42310231230332030230
511134343303322030
6225050232513500
720006333161302
oct2645554761454
9615760034220
10194040292140
1175323760502
123173384b890
13153b46bcc16
14956a7a0272
1550aa149d60
hex2d2db3e32c

194040292140 has 144 divisors (see below), whose sum is σ = 604762206048. Its totient is φ = 50323479552.

The previous prime is 194040292133. The next prime is 194040292169. The reversal of 194040292140 is 41292040491.

194040292140 is a `hidden beast` number, since 19 + 404 + 0 + 29 + 214 + 0 = 666.

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 = 194040292095 and 194040292104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19728664 + ... + 19738496.

It is an arithmetic number, because the mean of its divisors is an integer number (4199737542).

Almost surely, 2194040292140 is an apocalyptic number.

194040292140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194040292140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302381103024).

194040292140 is an abundant number, since it is smaller than the sum of its proper divisors (410721913908).

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

194040292140 is a wasteful number, since it uses less digits than its factorization.

194040292140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 194040292140 in words is "one hundred ninety-four billion, forty million, two hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2963 3330 5926 6660 8889 9833 11852 14815 17778 19666 26667 29499 29630 35556 39332 44445 49165 53334 58998 59260 88497 88890 98330 106668 109631 117996 133335 147495 176994 177780 196660 219262 266670 294990 328893 353988 363821 438524 442485 533340 548155 589980 657786 727642 884970 986679 1091463 1096310 1315572 1455284 1644465 1769940 1819105 1973358 2182926 2192620 3274389 3288930 3638210 3946716 4365852 4933395 5457315 6548778 6577860 7276420 9866790 10914630 13097556 16371945 19733580 21829260 29135179 32743890 58270358 65487780 87405537 116540716 145675895 174811074 262216611 291351790 349622148 437027685 524433222 582703580 874055370 1048866444 1078001623 1311083055 1748110740 2156003246 2622166110 3234004869 4312006492 5244332220 5390008115 6468009738 9702014607 10780016230 12936019476 16170024345 19404029214 21560032460 32340048690 38808058428 48510073035 64680097380 97020146070 194040292140