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4014201114 = 2327113778277
BaseRepresentation
bin1110111101000011…
…1101100100011010
3101100202102112201100
43233100331210122
531210113413424
61502154132230
7201322101150
oct35720754432
911322375640
104014201114
11177aa03790
12940421076
134bc854541
142a11ad3d0
1518762cdc9
hexef43d91a

4014201114 has 96 divisors (see below), whose sum is σ = 11136767616. Its totient is φ = 1014456960.

The previous prime is 4014201101. The next prime is 4014201131. The reversal of 4014201114 is 4111024104.

It is a super-2 number, since 2×40142011142 = 32227621167277681992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12144 + ... + 90420.

It is an arithmetic number, because the mean of its divisors is an integer number (116007996).

Almost surely, 24014201114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014201114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568383808).

4014201114 is an abundant number, since it is smaller than the sum of its proper divisors (7122566502).

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

4014201114 is a wasteful number, since it uses less digits than its factorization.

4014201114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78340 (or 78337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4014201114 is about 63357.7233965994. The cubic root of 4014201114 is about 1589.2774051334.

Adding to 4014201114 its reverse (4111024104), we get a palindrome (8125225218).

The spelling of 4014201114 in words is "four billion, fourteen million, two hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 37 42 63 66 74 77 99 111 126 154 198 222 231 259 333 407 462 518 666 693 777 814 1221 1386 1554 2331 2442 2849 3663 4662 5698 7326 8547 17094 25641 51282 78277 156554 234831 469662 547939 704493 861047 1095878 1408986 1643817 1722094 2583141 2896249 3287634 4931451 5166282 5792498 6027329 7749423 8688747 9862902 12054658 15498846 17377494 18081987 20273743 26066241 31858739 36163974 40547486 52132482 54245961 60821229 63717478 95576217 108491922 121642458 182463687 191152434 223011173 286728651 364927374 446022346 573457302 669033519 1338067038 2007100557 4014201114