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140033204032140 = 223257112953845921
BaseRepresentation
bin11111110101110000000101…
…011000100001001010001100
3200100211001011202111010210100
4133311300011120201022030
5121323301000213012030
61213454211004411100
741332031223640356
oct3765600530411214
9610731152433710
10140033204032140
1140689826022021
1213857458846a90
13601a0c78266b3
1426819010900d6
15112c8b955d360
hex7f5c0562128c

140033204032140 has 144 divisors (see below), whose sum is σ = 430783788891456. Its totient is φ = 36813355622400.

The previous prime is 140033204032121. The next prime is 140033204032159. The reversal of 140033204032140 is 41230402330041.

140033204032140 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 332 + 0 + 4 + 0 + 321 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140033204032121) and next prime (140033204032159).

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, 165116380 + ... + 165962300.

It is an arithmetic number, because the mean of its divisors is an integer number (2991554089524).

Almost surely, 2140033204032140 is an apocalyptic number.

140033204032140 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 140033204032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215391894445728).

140033204032140 is an abundant number, since it is smaller than the sum of its proper divisors (290750584859316).

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

140033204032140 is a wasteful number, since it uses less digits than its factorization.

140033204032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858960 (or 858955 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 140033204032140 its reverse (41230402330041), we get a palindrome (181263606362181).

The spelling of 140033204032140 in words is "one hundred forty trillion, thirty-three billion, two hundred four million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 12953 25906 38859 51812 64765 77718 116577 129530 155436 194295 233154 259060 388590 466308 582885 777180 845921 919663 1165770 1691842 1839326 2331540 2537763 2758989 3383684 3678652 4229605 4598315 5075526 5517978 7613289 8276967 8459210 9196630 10151052 11035956 12688815 13794945 15226578 16553934 16918420 18393260 25377630 27589890 30453156 33107868 38066445 41384835 50755260 55179780 60060391 76132890 82769670 120120782 152265780 165539340 180181173 240241564 300301955 360362346 540543519 600603910 720724692 900905865 1081087038 1201207820 1801811730 2162174076 2702717595 3603623460 5405435190 10810870380 10957214713 21914429426 32871644139 43828858852 54786073565 65743288278 98614932417 109572147130 131486576556 164358220695 197229864834 219144294260 328716441390 394459729668 493074662085 657432882780 777962244623 986149324170 1555924489246 1972298648340 2333886733869 3111848978492 3889811223115 4667773467738 7001660201607 7779622446230 9335546935476 11669433669345 14003320403214 15559244892460 23338867338690 28006640806428 35008301008035 46677734677380 70016602016070 140033204032140