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142032506640 = 2435718335241
BaseRepresentation
bin1000010001000111001…
…1000000111100010000
3111120121111012220200220
42010101303000330100
54311340310203030
6145125425313040
713155461246433
oct2042163007420
9446544186626
10142032506640
11552657134a2
122363a495780
13105169ab24b
146c3554981a
153a643a5a10
hex2111cc0f10

142032506640 has 80 divisors (see below), whose sum is σ = 446502243456. Its totient is φ = 37341875200.

The previous prime is 142032506621. The next prime is 142032506641. The reversal of 142032506640 is 46605230241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (142032506641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4150581 + ... + 4184660.

Almost surely, 2142032506640 is an apocalyptic number.

142032506640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142032506640 is an abundant number, since it is smaller than the sum of its proper divisors (304469736816).

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

142032506640 is a wasteful number, since it uses less digits than its factorization.

142032506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335328 (or 8335322 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 142032506640 its reverse (46605230241), we get a palindrome (188637736881).

The spelling of 142032506640 in words is "one hundred forty-two billion, thirty-two million, five hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 8335241 16670482 25005723 33340964 41676205 50011446 66681928 83352410 100022892 125028615 133363856 166704820 200045784 250057230 333409640 400091568 500114460 591802111 666819280 1000228920 1183604222 1775406333 2000457840 2367208444 2959010555 3550812666 4734416888 5918021110 7101625332 8877031665 9468833776 11836042220 14203250664 17754063330 23672084440 28406501328 35508126660 47344168880 71016253320 142032506640