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2430120144 = 243113448031
BaseRepresentation
bin1001000011011000…
…1011000011010000
320021100200220010210
42100312023003100
514434102321034
61041045524120
7114135452244
oct22066130320
96240626123
102430120144
111037815261
12579a13640
132c960351a
14190a60424
15e35258e9
hex90d8b0d0

2430120144 has 40 divisors (see below), whose sum is σ = 6333380352. Its totient is φ = 802869760.

The previous prime is 2430120107. The next prime is 2430120157. The reversal of 2430120144 is 4410210342.

It is a self number, because there is not a number n which added to its sum of digits gives 2430120144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218592 + ... + 229439.

Almost surely, 22430120144 is an apocalyptic number.

2430120144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2430120144 is an abundant number, since it is smaller than the sum of its proper divisors (3903260208).

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

2430120144 is a wasteful number, since it uses less digits than its factorization.

2430120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448155 (or 448149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2430120144 is about 49296.2487822349. The cubic root of 2430120144 is about 1344.4435805523.

Adding to 2430120144 its reverse (4410210342), we get a palindrome (6840330486).

The spelling of 2430120144 in words is "two billion, four hundred thirty million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 448031 896062 1344093 1792124 2688186 3584248 5376372 7168496 10752744 21505488 50627503 101255006 151882509 202510012 303765018 405020024 607530036 810040048 1215060072 2430120144