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1144444788540 = 223355479114253
BaseRepresentation
bin10000101001110110001…
…110011001111100111100
311001102000022202221212000
4100221312032121330330
5122222310331213130
62233430051342300
7145453260124344
oct20516616317474
94042008687760
101144444788540
114013a127a499
121659742b1990
1383bc7972b11
143d56a0cbd24
151eb827bc260
hex10a76399f3c

1144444788540 has 192 divisors, whose sum is σ = 3571759134720. Its totient is φ = 304221415680.

The previous prime is 1144444788533. The next prime is 1144444788559. The reversal of 1144444788540 is 458874444411.

1144444788540 is a `hidden beast` number, since 1 + 14 + 4 + 4 + 4 + 4 + 7 + 88 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 269089054 + ... + 269093306.

It is an arithmetic number, because the mean of its divisors is an integer number (18602912160).

Almost surely, 21144444788540 is an apocalyptic number.

1144444788540 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 1144444788540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785879567360).

1144444788540 is an abundant number, since it is smaller than the sum of its proper divisors (2427314346180).

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

1144444788540 is a wasteful number, since it uses less digits than its factorization.

1144444788540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 1144444788540 in words is "one trillion, one hundred forty-four billion, four hundred forty-four million, seven hundred eighty-eight thousand, five hundred forty".