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1014941016 = 23351633203
BaseRepresentation
bin111100011111101…
…100010101011000
32121201210100100000
4330133230111120
54034311103031
6244413413000
734102566465
oct7437542530
92551710300
101014941016
114809a9231
12243a9a160
1313236ba1b
1498b1a66c
155e1833e6
hex3c7ec558

1014941016 has 96 divisors (see below), whose sum is σ = 2868989760. Its totient is φ = 336133152.

The previous prime is 1014940967. The next prime is 1014941041. The reversal of 1014941016 is 6101494101.

It is a super-2 number, since 2×10149410162 = 2060210531918224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315271 + ... + 318473.

It is an arithmetic number, because the mean of its divisors is an integer number (29885310).

Almost surely, 21014941016 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 1014941016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434494880).

1014941016 is an abundant number, since it is smaller than the sum of its proper divisors (1854048744).

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

1014941016 is a wasteful number, since it uses less digits than its factorization.

1014941016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1014941016 is about 31858.1389286945. The cubic root of 1014941016 is about 1004.9557387502.

The spelling of 1014941016 in words is "one billion, fourteen million, nine hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 163 216 243 324 326 486 489 648 652 972 978 1304 1467 1944 1956 2934 3203 3912 4401 5868 6406 8802 9609 11736 12812 13203 17604 19218 25624 26406 28827 35208 38436 39609 52812 57654 76872 79218 86481 105624 115308 158436 172962 230616 259443 316872 345924 518886 522089 691848 778329 1037772 1044178 1556658 1566267 2075544 2088356 3113316 3132534 4176712 4698801 6226632 6265068 9397602 12530136 14096403 18795204 28192806 37590408 42289209 56385612 84578418 112771224 126867627 169156836 253735254 338313672 507470508 1014941016