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1319111040 = 273513411289
BaseRepresentation
bin100111010100000…
…0000100110000000
310101221010210011110
41032220000212000
510200143023130
6334521043320
744455154532
oct11650004600
93357123143
101319111040
11617670715
12309926540
131803998a0
14c7297852
157ac17ab0
hex4ea00980

1319111040 has 256 divisors, whose sum is σ = 4642142400. Its totient is φ = 316538880.

The previous prime is 1319111033. The next prime is 1319111099. The reversal of 1319111040 is 401119131.

It is a junction number, because it is equal to n+sod(n) for n = 1319110998 and 1319111016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022716 + ... + 1024004.

Almost surely, 21319111040 is an apocalyptic number.

1319111040 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 1319111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321071200).

1319111040 is an abundant number, since it is smaller than the sum of its proper divisors (3323031360).

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

1319111040 is a wasteful number, since it uses less digits than its factorization.

1319111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 1319111040 is about 36319.5682793725. The cubic root of 1319111040 is about 1096.7150039926.

The spelling of 1319111040 in words is "one billion, three hundred nineteen million, one hundred eleven thousand, forty".