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2454044142 = 2311194371641
BaseRepresentation
bin1001001001000101…
…1011110111101110
320100000201100200210
42102101123313232
520011213403032
61043302403250
7114546013434
oct22221336756
96300640623
102454044142
11104a275760
12585a30526
1330155ba34
14193ccad54
15e569e2cc
hex9245bdee

2454044142 has 128 divisors (see below), whose sum is σ = 5857505280. Its totient is φ = 677376000.

The previous prime is 2454044069. The next prime is 2454044149. The reversal of 2454044142 is 2414404542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454044149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3828142 + ... + 3828782.

It is an arithmetic number, because the mean of its divisors is an integer number (45761760).

Almost surely, 22454044142 is an apocalyptic number.

2454044142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2454044142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928752640).

2454044142 is an abundant number, since it is smaller than the sum of its proper divisors (3403461138).

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

2454044142 is a wasteful number, since it uses less digits than its factorization.

2454044142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 2454044142 is about 49538.3098419799. The cubic root of 2454044142 is about 1348.8410981600.

Adding to 2454044142 its reverse (2414404542), we get a palindrome (4868448684).

The spelling of 2454044142 in words is "two billion, four hundred fifty-four million, forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 43 57 66 71 86 114 129 142 209 213 258 418 426 473 627 641 781 817 946 1254 1282 1349 1419 1562 1634 1923 2343 2451 2698 2838 3053 3846 4047 4686 4902 6106 7051 8094 8987 9159 12179 14102 14839 17974 18318 21153 24358 26961 27563 29678 33583 36537 42306 44517 45511 53922 55126 58007 67166 73074 82689 89034 91022 100749 116014 133969 136533 165378 174021 201498 267938 273066 303193 348042 401907 500621 523697 606386 638077 803814 864709 909579 1001242 1047394 1276154 1501863 1571091 1729418 1819158 1914231 1956973 2594127 3003726 3142182 3828462 3913946 5188254 5760667 5870919 9511799 11521334 11741838 17282001 19023598 21526703 28535397 34564002 37182487 43053406 57070794 64580109 74364974 111547461 129160218 223094922 409007357 818014714 1227022071 2454044142