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142241303040 = 2935234361307
BaseRepresentation
bin1000010001111000111…
…1100000101000000000
3111121011001002212111220
42010132033200220000
54312302233144130
6145202244435040
713163605061334
oct2043617405000
9447131085456
10142241303040
1155362564301
12236983a8a80
131054b025305
146c5517b7c4
153a7789b410
hex211e3e0a00

142241303040 has 640 divisors, whose sum is σ = 495100311552. Its totient is φ = 34743582720.

The previous prime is 142241303027. The next prime is 142241303129. The reversal of 142241303040 is 40303142241.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1422413030402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142241303040.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 463326567 + ... + 463326873.

Almost surely, 2142241303040 is an apocalyptic number.

142241303040 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 142241303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247550155776).

142241303040 is an abundant number, since it is smaller than the sum of its proper divisors (352859008512).

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

142241303040 is a wasteful number, since it uses less digits than its factorization.

142241303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142241303040 its reverse (40303142241), we get a palindrome (182544445281).

The spelling of 142241303040 in words is "one hundred forty-two billion, two hundred forty-one million, three hundred three thousand, forty".