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142985198322 = 23833012
BaseRepresentation
bin1000010100101010010…
…1001111101011110010
3111200001212212200000000
42011022211033223302
54320313202321242
6145404141010430
713221210063261
oct2051245175362
9450055780000
10142985198322
115570446489a
1223865553a16
1310639193235
146cc5ca05d8
153abcd3ea4c
hex214a94faf2

142985198322 has 54 divisors (see below), whose sum is σ = 321797836269. Its totient is φ = 47647294200.

The previous prime is 142985198287. The next prime is 142985198329. The reversal of 142985198322 is 223891589241.

142985198322 is a `hidden beast` number, since 1 + 4 + 2 + 98 + 519 + 8 + 32 + 2 = 666.

142985198322 is digitally balanced in base 2, 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 2 ways, for example, as 129399197841 + 13586000481 = 359721^2 + 116559^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=267381.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142985198329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43314072 + ... + 43317372.

Almost surely, 2142985198322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142985198322

142985198322 is an abundant number, since it is smaller than the sum of its proper divisors (178812637947).

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

142985198322 is an frugal number, since it uses more digits than its factorization.

142985198322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 3306 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 142985198322 in words is "one hundred forty-two billion, nine hundred eighty-five million, one hundred ninety-eight thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 3301 4374 6561 6602 9903 13122 19806 29709 59418 89127 178254 267381 534762 802143 1604286 2406429 4812858 7219287 10896601 14438574 21657861 21793202 32689803 43315722 65379606 98069409 196138818 294208227 588416454 882624681 1765249362 2647874043 5295748086 7943622129 15887244258 23830866387 47661732774 71492599161 142985198322