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1049394061440 = 2735510976151
BaseRepresentation
bin11110100010101001100…
…00101010000010000000
310201022200002001201200000
433101110300222002000
5114143124334431230
62122030204400000
7135546651230034
oct17212460520200
93638602051600
101049394061440
1137505565437a
1214b467b46000
1377c5a64092a
1438b104c61c4
151c46cd18b60
hexf454c2a080

1049394061440 has 384 divisors, whose sum is σ = 3761936680320. Its totient is φ = 279537868800.

The previous prime is 1049394061399. The next prime is 1049394061459. The reversal of 1049394061440 is 441604939401.

1049394061440 is a `hidden beast` number, since 10 + 4 + 93 + 9 + 406 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10493940614402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170602365 + ... + 170608515.

It is an arithmetic number, because the mean of its divisors is an integer number (9796710105).

Almost surely, 21049394061440 is an apocalyptic number.

1049394061440 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 1049394061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880968340160).

1049394061440 is an abundant number, since it is smaller than the sum of its proper divisors (2712542618880).

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

1049394061440 is an equidigital number, since it uses as much as digits as its factorization.

1049394061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1049394061440 in words is "one trillion, forty-nine billion, three hundred ninety-four million, sixty-one thousand, four hundred forty".