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1114033144 = 23729739397
BaseRepresentation
bin100001001100110…
…1100101111111000
32212122020202011211
41002121230233320
54240143030034
6302313332504
736415061020
oct10231545770
92778222154
101114033144
1152192a654
12271107134
13149a55213
14a7d52a80
1567c08d64
hex4266cbf8

1114033144 has 64 divisors (see below), whose sum is σ = 2503627200. Its totient is φ = 454616064.

The previous prime is 1114033139. The next prime is 1114033147. The reversal of 1114033144 is 4413304111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114033147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113854 + ... + 123250.

It is an arithmetic number, because the mean of its divisors is an integer number (39119175).

Almost surely, 21114033144 is an apocalyptic number.

1114033144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114033144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251813600).

1114033144 is an abundant number, since it is smaller than the sum of its proper divisors (1389594056).

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

1114033144 is a wasteful number, since it uses less digits than its factorization.

1114033144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1114033144 is about 33377.1350478138. The cubic root of 1114033144 is about 1036.6513174574.

Adding to 1114033144 its reverse (4413304111), we get a palindrome (5527337255).

The spelling of 1114033144 in words is "one billion, one hundred fourteen million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 73 116 146 203 232 292 406 511 584 812 1022 1624 2044 2117 4088 4234 8468 9397 14819 16936 18794 29638 37588 59276 65779 75176 118552 131558 263116 272513 526232 545026 685981 1090052 1371962 1907591 2180104 2743924 3815182 4801867 5487848 7630364 9603734 15260728 19207468 19893449 38414936 39786898 79573796 139254143 159147592 278508286 557016572 1114033144