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140221532000 = 255311101139227
BaseRepresentation
bin1000001010010111011…
…0101100011101100000
3111101221021112212112002
42002211312230131200
54244133203011000
6144230014023132
713062551233124
oct2024566543540
9441837485462
10140221532000
1154516443440
1223213aa7aa8
13102b8747b14
146b02c17584
1539aa3d08d5
hex20a5dac760

140221532000 has 384 divisors, whose sum is σ = 383980746240. Its totient is φ = 49900800000.

The previous prime is 140221531993. The next prime is 140221532039. The reversal of 140221532000 is 235122041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617715887 + ... + 617716113.

It is an arithmetic number, because the mean of its divisors is an integer number (999949860).

Almost surely, 2140221532000 is an apocalyptic number.

140221532000 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 140221532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990373120).

140221532000 is an abundant number, since it is smaller than the sum of its proper divisors (243759214240).

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

140221532000 is a wasteful number, since it uses less digits than its factorization.

140221532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 140221532000 its reverse (235122041), we get a palindrome (140456654041).

The spelling of 140221532000 in words is "one hundred forty billion, two hundred twenty-one million, five hundred thirty-two thousand".