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1018418124240 = 2432511239757637
BaseRepresentation
bin11101101000111100111…
…00110101010111010000
310121100201022101002010200
432310132130311113100
5113141210014433430
62055504350455200
7133402231140156
oct16643634652720
93540638332120
101018418124240
113629aa532280
12145462204500
13750620150ca
14374125d53d6
151b7586b3460
hexed1e7355d0

1018418124240 has 480 divisors, whose sum is σ = 3933541737216. Its totient is φ = 233716285440.

The previous prime is 1018418124173. The next prime is 1018418124247. The reversal of 1018418124240 is 424218148101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1018418124195 and 1018418124204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018418124247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17640702 + ... + 17698338.

Almost surely, 21018418124240 is an apocalyptic number.

1018418124240 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 1018418124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966770868608).

1018418124240 is an abundant number, since it is smaller than the sum of its proper divisors (2915123612976).

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

1018418124240 is a wasteful number, since it uses less digits than its factorization.

1018418124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57787 (or 57778 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

It can be divided in two parts, 10184181 and 24240, that added together give a triangular number (10208421 = T4518).

The spelling of 1018418124240 in words is "one trillion, eighteen billion, four hundred eighteen million, one hundred twenty-four thousand, two hundred forty".