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1071814144 = 296613167
BaseRepresentation
bin111111111000101…
…001011000000000
32202200210210121011
4333320221120000
54143341023034
6254204410304
735363161402
oct7770513000
92680723534
101071814144
11500013915
1225ab46994
1314109266b
14a24c2b72
1564169864
hex3fe29600

1071814144 has 40 divisors (see below), whose sum is σ = 2145451968. Its totient is φ = 534927360.

The previous prime is 1071814141. The next prime is 1071814201. The reversal of 1071814144 is 4414181701.

It is a super-2 number, since 2×10718141442 = 2297571118556905472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071814141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 336849 + ... + 340015.

Almost surely, 21071814144 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 1071814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072725984).

1071814144 is an abundant number, since it is smaller than the sum of its proper divisors (1073637824).

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

1071814144 is an frugal number, since it uses more digits than its factorization.

1071814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 1071814144 is about 32738.5727239292. The cubic root of 1071814144 is about 1023.3868399510.

Adding to 1071814144 its reverse (4414181701), we get a palindrome (5485995845).

The spelling of 1071814144 in words is "one billion, seventy-one million, eight hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 661 1322 2644 3167 5288 6334 10576 12668 21152 25336 42304 50672 84608 101344 169216 202688 338432 405376 810752 1621504 2093387 4186774 8373548 16747096 33494192 66988384 133976768 267953536 535907072 1071814144