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142140389333400 = 2335527937021511
BaseRepresentation
bin100000010100011010100011…
…011010100001100110011000
3200122021111012010101110100000
4200110122203122201212120
5122112312004132132100
61222150220550413000
741640206232321213
oct4024324332414630
9618244163343300
10142140389333400
1141321445206107
1213b37914961160
136140a203b2243
1427158bad9477a
1511675e7493900
hex8146a36a1998

142140389333400 has 288 divisors, whose sum is σ = 501300889689600. Its totient is φ = 37424304028800.

The previous prime is 142140389333387. The next prime is 142140389333407. The reversal of 142140389333400 is 4333983041241.

142140389333400 is a `hidden beast` number, since 1 + 4 + 214 + 0 + 3 + 8 + 93 + 3 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142140389333407) 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 71 ways as a sum of consecutive naturals, for example, 14671356 + ... + 22350155.

It is an arithmetic number, because the mean of its divisors is an integer number (1740628089200).

Almost surely, 2142140389333400 is an apocalyptic number.

142140389333400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142140389333400 is an abundant number, since it is smaller than the sum of its proper divisors (359160500356200).

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

142140389333400 is a wasteful number, since it uses less digits than its factorization.

142140389333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37021621 (or 37021600 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 142140389333400 in words is "one hundred forty-two trillion, one hundred forty billion, three hundred eighty-nine million, three hundred thirty-three thousand, four hundred".