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1014444944 = 24174578161
BaseRepresentation
bin111100011101110…
…011001110010000
32121200212010211222
4330131303032100
54034144214234
6244355024212
734065432302
oct7435631620
92550763758
101014444944
1148069a557
1224389b068
13132226ca6
1498a2b972
155e0d642e
hex3c773390

1014444944 has 40 divisors (see below), whose sum is σ = 2085913368. Its totient is φ = 476282880.

The previous prime is 1014444943. The next prime is 1014444973. The reversal of 1014444944 is 4494444101.

It can be written as a sum of positive squares in 4 ways, for example, as 400000000 + 614444944 = 20000^2 + 24788^2 .

It is not an unprimeable number, because it can be changed into a prime (1014444943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120224 + ... + 128384.

Almost surely, 21014444944 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 1014444944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042956684).

1014444944 is an abundant number, since it is smaller than the sum of its proper divisors (1071468424).

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

1014444944 is a wasteful number, since it uses less digits than its factorization.

1014444944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8643 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 1014444944 is about 31850.3523371406. The cubic root of 1014444944 is about 1004.7919815664.

The spelling of 1014444944 in words is "one billion, fourteen million, four hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 457 914 1828 3656 7312 7769 8161 15538 16322 31076 32644 62152 65288 124304 130576 138737 277474 554948 1109896 2219792 3729577 7459154 14918308 29836616 59673232 63402809 126805618 253611236 507222472 1014444944