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142132195584 = 28346854369
BaseRepresentation
bin1000010001011110111…
…1010011000100000000
3111120212102210122020000
42010113233103010000
54312041320224314
6145143350120000
713161111504651
oct2042757230400
9446772718200
10142132195584
1155306a12255
1223667950000
13105315432a2
146c44899528
153a6cee8209
hex2117bd3100

142132195584 has 90 divisors (see below), whose sum is σ = 423812551470. Its totient is φ = 47377391616.

The previous prime is 142132195531. The next prime is 142132195589. The reversal of 142132195584 is 485591231241.

142132195584 is a `hidden beast` number, since 1 + 4 + 21 + 32 + 19 + 5 + 584 = 666.

142132195584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 128358825984 + 13773369600 = 358272^2 + 117360^2 .

It is a super-2 number, since 2×1421321955842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142132195589) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3406449 + ... + 3447920.

Almost surely, 2142132195584 is an apocalyptic number.

It is an amenable number.

142132195584 is an abundant number, since it is smaller than the sum of its proper divisors (281680355886).

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

142132195584 is an frugal number, since it uses more digits than its factorization.

142132195584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854397 (or 6854374 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 142132195584 in words is "one hundred forty-two billion, one hundred thirty-two million, one hundred ninety-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 6854369 13708738 20563107 27417476 41126214 54834952 61689321 82252428 109669904 123378642 164504856 185067963 219339808 246757284 329009712 370135926 438679616 493514568 555203889 658019424 740271852 877359232 987029136 1110407778 1316038848 1480543704 1754718464 1974058272 2220815556 2632077696 2961087408 3948116544 4441631112 5264155392 5922174816 7896233088 8883262224 11844349632 15792466176 17766524448 23688699264 35533048896 47377398528 71066097792 142132195584