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1014204114 = 2327113719777
BaseRepresentation
bin111100011100111…
…000011011010010
32121200101220111100
4330130320123102
54034114012424
6244345525230
734063410210
oct7434703322
92550356440
101014204114
11480545620
122437a3816
131321714a1
14989a7cb0
155e089dc9
hex3c7386d2

1014204114 has 96 divisors (see below), whose sum is σ = 2813855616. Its totient is φ = 256296960.

The previous prime is 1014204073. The next prime is 1014204119. The reversal of 1014204114 is 4114024101.

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

It is not an unprimeable number, because it can be changed into a prime (1014204119) 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, 41394 + ... + 61170.

It is an arithmetic number, because the mean of its divisors is an integer number (29310996).

Almost surely, 21014204114 is an apocalyptic number.

1014204114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014204114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406927808).

1014204114 is an abundant number, since it is smaller than the sum of its proper divisors (1799651502).

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

1014204114 is a wasteful number, since it uses less digits than its factorization.

1014204114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19840 (or 19837 counting only the distinct ones).

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

The square root of 1014204114 is about 31846.5714638169. The cubic root of 1014204114 is about 1004.7124624803.

Adding to 1014204114 its reverse (4114024101), we get a palindrome (5128228215).

The spelling of 1014204114 in words is "one billion, fourteen million, two hundred four 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 19777 25641 39554 51282 59331 118662 138439 177993 217547 276878 355986 415317 435094 652641 731749 830634 1245951 1305282 1463498 1522829 1957923 2195247 2491902 3045658 3915846 4390494 4568487 5122243 6585741 8049239 9136974 10244486 13171482 13705461 15366729 16098478 24147717 27410922 30733458 46100187 48295434 56344673 72443151 92200374 112689346 144886302 169034019 338068038 507102057 1014204114