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1031144200240 = 2457112943241557
BaseRepresentation
bin11110000000101001111…
…10111101100000110000
310122120120012201201111211
433000110332331200300
5113343240403401430
62105411234445504
7134332500041440
oct17002476754060
93576505651454
101031144200240
11368340023560
12147a14133894
137630c718bab
1437c9c818120
151bc50a5772a
hexf014fbd830

1031144200240 has 640 divisors, whose sum is σ = 3182787717120. Its totient is φ = 301296844800.

The previous prime is 1031144200231. The next prime is 1031144200319. The reversal of 1031144200240 is 420024411301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1851246042 + ... + 1851246598.

It is an arithmetic number, because the mean of its divisors is an integer number (4973105808).

Almost surely, 21031144200240 is an apocalyptic number.

1031144200240 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 1031144200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591393858560).

1031144200240 is an abundant number, since it is smaller than the sum of its proper divisors (2151643516880).

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

1031144200240 is a wasteful number, since it uses less digits than its factorization.

1031144200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1031144200240 its reverse (420024411301), we get a palindrome (1451168611541).

The spelling of 1031144200240 in words is "one trillion, thirty-one billion, one hundred forty-four million, two hundred thousand, two hundred forty".