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418238730140 = 2257113171163757
BaseRepresentation
bin1100001011000001111…
…10001000111110011100
31110222112202221212012112
412011200332020332130
523323023103331030
6520045231253152
742134226356240
oct6054076107634
91428482855175
10418238730140
111514129502a0
126908337a1b8
133059416675a
14163585b4420
15ad2cc0ba95
hex6160f88f9c

418238730140 has 384 divisors, whose sum is σ = 1154824667136. Its totient is φ = 123451776000.

The previous prime is 418238730121. The next prime is 418238730157. The reversal of 418238730140 is 41037832814.

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, 552494642 + ... + 552495398.

It is an arithmetic number, because the mean of its divisors is an integer number (3007355904).

Almost surely, 2418238730140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418238730140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577412333568).

418238730140 is an abundant number, since it is smaller than the sum of its proper divisors (736585936996).

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

418238730140 is a wasteful number, since it uses less digits than its factorization.

418238730140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 418238730140 in words is "four hundred eighteen billion, two hundred thirty-eight million, seven hundred thirty thousand, one hundred forty".