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4240342144 = 27431315881
BaseRepresentation
bin1111110010111110…
…0111110010000000
3101221111221200220001
43330233213302000
532141011422034
61540433125344
7210036212353
oct37457476200
911844850801
104240342144
1118866208a5
129a40b9854
135276621bc
142c323829a
1519c3eca14
hexfcbe7c80

4240342144 has 64 divisors (see below), whose sum is σ = 8711477280. Its totient is φ = 2054707200.

The previous prime is 4240342133. The next prime is 4240342151. The reversal of 4240342144 is 4412430424.

It is a tau number, because it is divible by the number of its divisors (64).

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, 718084 + ... + 723964.

Almost surely, 24240342144 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 4240342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355738640).

4240342144 is an abundant number, since it is smaller than the sum of its proper divisors (4471135136).

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

4240342144 is a wasteful number, since it uses less digits than its factorization.

4240342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4240342144 is about 65117.9095487562. The cubic root of 4240342144 is about 1618.5780012656.

Adding to 4240342144 its reverse (4412430424), we get a palindrome (8652772568).

The spelling of 4240342144 in words is "four billion, two hundred forty million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 131 172 262 344 524 688 1048 1376 2096 2752 4192 5504 5633 5881 8384 11266 11762 16768 22532 23524 45064 47048 90128 94096 180256 188192 252883 360512 376384 505766 721024 752768 770411 1011532 1540822 2023064 3081644 4046128 6163288 8092256 12326576 16184512 24653152 32369024 33127673 49306304 66255346 98612608 132510692 265021384 530042768 1060085536 2120171072 4240342144