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142449476951040 = 21035717199914139
BaseRepresentation
bin100000011000111010011010…
…011110001101110000000000
3200200101000222222021021220020
4200120322122132031300000
5122132343012044413130
61222544215235013440
742001430555605620
oct4030723236156000
9620330888237806
10142449476951040
11414305360a8006
1213b877b573a280
136163c0ab8a89c
14272683cdd8880
151170687889e10
hex818e9a78dc00

142449476951040 has 1408 divisors, whose sum is σ = 581076865843200. Its totient is φ = 28995417538560.

The previous prime is 142449476951039. The next prime is 142449476951141. The reversal of 142449476951040 is 40159674944241.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 34416397291 + ... + 34416401429.

Almost surely, 2142449476951040 is an apocalyptic number.

142449476951040 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 142449476951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290538432921600).

142449476951040 is an abundant number, since it is smaller than the sum of its proper divisors (438627388892160).

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

142449476951040 is a wasteful number, since it uses less digits than its factorization.

142449476951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 142449476951040 in words is "one hundred forty-two trillion, four hundred forty-nine billion, four hundred seventy-six million, nine hundred fifty-one thousand, forty".