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142443144540400 = 245211711313480641
BaseRepresentation
bin100000011000110100100001…
…000001111111000011110000
3200200100102122122201111112211
4200120310201001333003300
5122132242030000243100
61222541251025301504
742001114624162204
oct4030644101770360
9620312578644484
10142443144540400
1141428886676190
1213b86528a94894
13616343bc86a42
1427263dbdbab04
1511704169901ba
hex818d2107f0f0

142443144540400 has 240 divisors, whose sum is σ = 381478808722176. Its totient is φ = 50678118400000.

The previous prime is 142443144540379. The next prime is 142443144540421. The reversal of 142443144540400 is 4045441344241.

It is an interprime number because it is at equal distance from previous prime (142443144540379) and next prime (142443144540421).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39184080 + ... + 42664720.

Almost surely, 2142443144540400 is an apocalyptic number.

142443144540400 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 142443144540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190739404361088).

142443144540400 is an abundant number, since it is smaller than the sum of its proper divisors (239035664181776).

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

142443144540400 is a wasteful number, since it uses less digits than its factorization.

142443144540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480872 (or 3480861 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 142443144540400 its reverse (4045441344241), we get a palindrome (146488585884641).

The spelling of 142443144540400 in words is "one hundred forty-two trillion, four hundred forty-three billion, one hundred forty-four million, five hundred forty thousand, four hundred".