Search a number
-
+
1011411414 = 233131638839
BaseRepresentation
bin111100010010001…
…110100111010110
32121111011000122000
4330102032213112
54032410131124
6244210020130
734030566216
oct7422164726
92544130560
101011411414
11479a08402
12242877646
131317042c0
149847c246
155dbd76c9
hex3c48e9d6

1011411414 has 64 divisors (see below), whose sum is σ = 2435596800. Its totient is φ = 309259296.

The previous prime is 1011411383. The next prime is 1011411437. The reversal of 1011411414 is 4141141101.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110007 + ... + 118845.

It is an arithmetic number, because the mean of its divisors is an integer number (38056200).

Almost surely, 21011411414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011411414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217798400).

1011411414 is an abundant number, since it is smaller than the sum of its proper divisors (1424185386).

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

1011411414 is a wasteful number, since it uses less digits than its factorization.

1011411414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9026 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1011411414 is about 31802.6950744744. The cubic root of 1011411414 is about 1003.7894267730.

Adding to 1011411414 its reverse (4141141101), we get a palindrome (5152552515).

It can be divided in two parts, 10114 and 11414, that added together give a triangular number (21528 = T207).

The spelling of 1011411414 in words is "one billion, eleven million, four hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 163 234 326 351 489 702 978 1467 2119 2934 4238 4401 6357 8802 8839 12714 17678 19071 26517 38142 53034 57213 79551 114426 114907 159102 229814 238653 344721 477306 689442 1034163 1440757 2068326 2881514 3102489 4322271 6204978 8644542 12966813 18729841 25933626 37459682 38900439 56189523 77800878 112379046 168568569 337137138 505705707 1011411414