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203460311040 = 21135723311327
BaseRepresentation
bin1011110101111100101…
…1011111100000000000
3201110011111110200212120
42331133023133200000
511313141314423130
6233245100324240
720461636052250
oct2753713374000
9643144420776
10203460311040
1179318050098
1233522543680
13162561a06bc
149bc18ab960
15545c141910
hex2f5f2df800

203460311040 has 768 divisors, whose sum is σ = 801889320960. Its totient is φ = 43015864320.

The previous prime is 203460311039. The next prime is 203460311053. The reversal of 203460311040 is 40113064302.

It is a tau number, because it is divible by the number of its divisors (768).

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 203460311040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153322857 + ... + 153324183.

It is an arithmetic number, because the mean of its divisors is an integer number (1044126720).

Almost surely, 2203460311040 is an apocalyptic number.

203460311040 is a gapful number since it is divisible by the number (20) 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 203460311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400944660480).

203460311040 is an abundant number, since it is smaller than the sum of its proper divisors (598429009920).

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

203460311040 is a wasteful number, since it uses less digits than its factorization.

203460311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 203460311040 its reverse (40113064302), we get a palindrome (243573375342).

The spelling of 203460311040 in words is "two hundred three billion, four hundred sixty million, three hundred eleven thousand, forty".