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142440324131000 = 2353760152736421
BaseRepresentation
bin100000011000110001111000…
…111010111110100010111000
3200200100011101002121212012102
4200120301320322332202320
5122132220240434143000
61222540103114202532
742000655006121240
oct4030617072764270
9620304332555172
10142440324131000
1141427669618925
1213b85a80423448
1361630ac861c3c
1427262115a2b20
1511702ee0733d5
hex818c78ebe8b8

142440324131000 has 256 divisors, whose sum is σ = 381691740568320. Its totient is φ = 48738585600000.

The previous prime is 142440324130957. The next prime is 142440324131009. The reversal of 142440324131000 is 131423044241.

It is a super-2 number, since 2×1424403241310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142440324131009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22183507790 + ... + 22183514210.

It is an arithmetic number, because the mean of its divisors is an integer number (1490983361595).

Almost surely, 2142440324131000 is an apocalyptic number.

142440324131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142440324131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190845870284160).

142440324131000 is an abundant number, since it is smaller than the sum of its proper divisors (239251416437320).

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

142440324131000 is a wasteful number, since it uses less digits than its factorization.

142440324131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12309 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 142440324131000 its reverse (131423044241), we get a palindrome (142571747175241).

The spelling of 142440324131000 in words is "one hundred forty-two trillion, four hundred forty billion, three hundred twenty-four million, one hundred thirty-one thousand".