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120021340140 = 22355131899673
BaseRepresentation
bin110111111000111010…
…1000100111111101100
3102110210111022210200000
41233301311010333230
53431300430341030
6131045333504300
711446145362362
oct1576165047754
9373714283600
10120021340140
114699aa102a9
121b316aa2090
13b419749780
145b480dd632
1531c6cbd860
hex1bf1d44fec

120021340140 has 144 divisors (see below), whose sum is σ = 406591025568. Its totient is φ = 29543698944.

The previous prime is 120021340099. The next prime is 120021340147. The reversal of 120021340140 is 41043120021.

120021340140 is a `hidden beast` number, since 1 + 200 + 21 + 3 + 401 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120021340147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886657 + ... + 1013016.

Almost surely, 2120021340140 is an apocalyptic number.

120021340140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021340140 is an abundant number, since it is smaller than the sum of its proper divisors (286569685428).

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

120021340140 is a wasteful number, since it uses less digits than its factorization.

120021340140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899710 (or 1899696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120021340140 its reverse (41043120021), we get a palindrome (161064460161).

The spelling of 120021340140 in words is "one hundred twenty billion, twenty-one million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 1899673 3799346 5699019 7598692 9498365 11398038 17097057 18996730 22796076 24695749 28495095 34194114 37993460 49391498 51291171 56990190 68388228 74087247 85485285 98782996 102582342 113980380 123478745 148174494 153873513 170970570 205164684 222261741 246957490 256455855 296348988 307747026 341941140 370436235 444523482 461620539 493914980 512911710 615494052 666785223 740872470 769367565 889046964 923241078 1025823420 1111308705 1333570446 1481744940 1538735130 1846482156 2000355669 2222617410 2308102695 2667140892 3077470260 3333926115 4000711338 4445234820 4616205390 6001067007 6667852230 8001422676 9232410780 10001778345 12002134014 13335704460 20003556690 24004268028 30005335035 40007113380 60010670070 120021340140