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1381143456 = 2532711611021
BaseRepresentation
bin101001001010010…
…1001001110100000
310120020212100122100
41102110221032200
510312033042311
6345014410400
746140345210
oct12224511640
93506770570
101381143456
1164968a580
12326660a00
131901a8964
14d1604240
15813bca56
hex525293a0

1381143456 has 288 divisors, whose sum is σ = 4981931136. Its totient is φ = 352512000.

The previous prime is 1381143451. The next prime is 1381143493. The reversal of 1381143456 is 6543411831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1381143456.

It is not an unprimeable number, because it can be changed into a prime (1381143451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1352226 + ... + 1353246.

It is an arithmetic number, because the mean of its divisors is an integer number (17298372).

Almost surely, 21381143456 is an apocalyptic number.

1381143456 is a gapful number since it is divisible by the number (16) 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 1381143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490965568).

1381143456 is an abundant number, since it is smaller than the sum of its proper divisors (3600787680).

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

1381143456 is a wasteful number, since it uses less digits than its factorization.

1381143456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1105 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1381143456 is about 37163.7384556506. The cubic root of 1381143456 is about 1113.6436968832.

The spelling of 1381143456 in words is "one billion, three hundred eighty-one million, one hundred forty-three thousand, four hundred fifty-six".