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2153042144 = 251123733643
BaseRepresentation
bin1000000001010100…
…1101000011100000
312120001022212120122
42000111031003200
513402134322034
6553351055412
7104232361541
oct20025150340
95501285518
102153042144
11a05377480
12501071568
1328409cb46
14165d364c8
15c904362e
hex8054d0e0

2153042144 has 96 divisors (see below), whose sum is σ = 4892638464. Its totient is φ = 923028480.

The previous prime is 2153042141. The next prime is 2153042183. The reversal of 2153042144 is 4412403512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153042141) 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, 589187 + ... + 592829.

It is an arithmetic number, because the mean of its divisors is an integer number (50964984).

Almost surely, 22153042144 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 2153042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446319232).

2153042144 is an abundant number, since it is smaller than the sum of its proper divisors (2739596320).

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

2153042144 is a wasteful number, since it uses less digits than its factorization.

2153042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2153042144 is about 46400.8851639707. The cubic root of 2153042144 is about 1291.2713352343.

Adding to 2153042144 its reverse (4412403512), we get a palindrome (6565445656).

The spelling of 2153042144 in words is "two billion, one hundred fifty-three million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 73 88 92 146 176 184 253 292 352 368 506 584 736 803 1012 1168 1606 1679 2024 2336 3212 3358 3643 4048 6424 6716 7286 8096 12848 13432 14572 18469 25696 26864 29144 36938 40073 53728 58288 73876 80146 83789 116576 147752 160292 167578 265939 295504 320584 335156 531878 591008 641168 670312 921679 1063756 1282336 1340624 1843358 2127512 2681248 2925329 3686716 4255024 5850658 6116597 7373432 8510048 11701316 12233194 14746864 23402632 24466388 29493728 46805264 48932776 67282567 93610528 97865552 134565134 195731104 269130268 538260536 1076521072 2153042144