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2401140144 = 2431329132689
BaseRepresentation
bin1000111100011110…
…0111110110110000
320012100011120001110
42033013213312300
514404142441034
61034132433320
7113334232404
oct21707476660
96170146043
102401140144
111022421147
12570178840
132c35c78b0
1418ac79104
15e0bedde9
hex8f1e7db0

2401140144 has 80 divisors (see below), whose sum is σ = 6910495200. Its totient is φ = 713330688.

The previous prime is 2401140127. The next prime is 2401140151. The reversal of 2401140144 is 4410411042.

It is a super-2 number, since 2×24011401442 = 11530947982256681472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2401140144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48249 + ... + 84440.

It is an arithmetic number, because the mean of its divisors is an integer number (86381190).

Almost surely, 22401140144 is an apocalyptic number.

2401140144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2401140144 is an abundant number, since it is smaller than the sum of its proper divisors (4509355056).

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

2401140144 is a wasteful number, since it uses less digits than its factorization.

2401140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132742 (or 132736 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2401140144 is about 49001.4300199494. The cubic root of 2401140144 is about 1339.0778804783.

Adding to 2401140144 its reverse (4410411042), we get a palindrome (6811551186).

The spelling of 2401140144 in words is "two billion, four hundred one million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 132689 265378 398067 530756 796134 1061512 1592268 1724957 2123024 3184536 3449914 3847981 5174871 6369072 6899828 7695962 10349742 11543943 13799656 15391924 20699484 23087886 27599312 30783848 41398968 46175772 50023753 61567696 82797936 92351544 100047506 150071259 184703088 200095012 300142518 400190024 600285036 800380048 1200570072 2401140144