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142047740241 = 321110627135017
BaseRepresentation
bin1000010001001010110…
…1001000000101010001
3111120122112212212021100
42010102231020011101
54311403210141431
6145131132015013
713156034604321
oct2042255100521
9446575785240
10142047740241
1155273278750
1223643601469
1310519bb3004
146c37593281
153a658b44e6
hex2112b48151

142047740241 has 24 divisors (see below), whose sum is σ = 223855523424. Its totient is φ = 86080800960.

The previous prime is 142047740209. The next prime is 142047740273.

142047740241 is a `hidden beast` number, since 1 + 4 + 204 + 7 + 7 + 402 + 41 = 666.

142047740241 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (142047740209) and next prime (142047740273).

It is not a de Polignac number, because 142047740241 - 25 = 142047740209 is a prime.

It is a super-2 number, since 2×1420477402412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142047740196 and 142047740205.

It is not an unprimeable number, because it can be changed into a prime (142047740291) 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 23 ways as a sum of consecutive naturals, for example, 984565 + ... + 1119581.

It is an arithmetic number, because the mean of its divisors is an integer number (9327313476).

Almost surely, 2142047740241 is an apocalyptic number.

142047740241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142047740241 is a deficient number, since it is larger than the sum of its proper divisors (81807783183).

142047740241 is a wasteful number, since it uses less digits than its factorization.

142047740241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145661 (or 145658 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

It can be divided in two parts, 142047 and 740241, that added together give a palindrome (882288).

The spelling of 142047740241 in words is "one hundred forty-two billion, forty-seven million, seven hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 10627 31881 95643 116897 135017 350691 405051 1052073 1215153 1485187 4455561 13366683 1434825659 4304476977 12913430931 15783082249 47349246747 142047740241