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1140101144 = 237132276899
BaseRepresentation
bin100001111110100…
…1001000000011000
32221110022010202022
41003331021000120
54313331214034
6305044154012
740152462020
oct10375110030
92843263668
101140101144
11535614956
12279998908
13152281580
14ab5baa80
156a157b2e
hex43f49018

1140101144 has 64 divisors (see below), whose sum is σ = 2642976000. Its totient is φ = 448977024.

The previous prime is 1140101143. The next prime is 1140101147. The reversal of 1140101144 is 4411010411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140101143) 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, 161807 + ... + 168705.

It is an arithmetic number, because the mean of its divisors is an integer number (41296500).

Almost surely, 21140101144 is an apocalyptic number.

1140101144 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 1140101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321488000).

1140101144 is an abundant number, since it is smaller than the sum of its proper divisors (1502874856).

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

1140101144 is a wasteful number, since it uses less digits than its factorization.

1140101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1140101144 is about 33765.3838124195. The cubic root of 1140101144 is about 1044.6748204892.

Adding to 1140101144 its reverse (4411010411), we get a palindrome (5551111555).

The spelling of 1140101144 in words is "one billion, one hundred forty million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 227 364 454 728 908 1589 1816 2951 3178 5902 6356 6899 11804 12712 13798 20657 23608 27596 41314 48293 55192 82628 89687 96586 165256 179374 193172 358748 386344 627809 717496 1255618 1566073 2511236 3132146 5022472 6264292 10962511 12528584 20358949 21925022 40717898 43850044 81435796 87700088 142512643 162871592 285025286 570050572 1140101144