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4042303440 = 243572406133
BaseRepresentation
bin1111000011110000…
…1010011111010000
3101102201022021212020
43300330022133100
531234312202230
61505040331440
7202113004140
oct36074123720
911381267766
104042303440
11179485844a
12949913b80
134c5613836
142a4c06920
15189d2e810
hexf0f0a7d0

4042303440 has 80 divisors (see below), whose sum is σ = 14321309568. Its totient is φ = 923954688.

The previous prime is 4042303439. The next prime is 4042303453. The reversal of 4042303440 is 443032404.

It is a happy number.

4042303440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4042303440.

It is a congruent number.

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, 1201387 + ... + 1204746.

Almost surely, 24042303440 is an apocalyptic number.

4042303440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042303440 is an abundant number, since it is smaller than the sum of its proper divisors (10279006128).

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

4042303440 is a wasteful number, since it uses less digits than its factorization.

4042303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406156 (or 2406150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4042303440 is about 63579.1116641307. Note that the first 3 decimals coincide. The cubic root of 4042303440 is about 1592.9774831714.

Adding to 4042303440 its reverse (443032404), we get a palindrome (4485335844).

The spelling of 4042303440 in words is "four billion, forty-two million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2406133 4812266 7218399 9624532 12030665 14436798 16842931 19249064 24061330 28873596 33685862 36091995 38498128 48122660 50528793 57747192 67371724 72183990 84214655 96245320 101057586 115494384 134743448 144367980 168429310 192490640 202115172 252643965 269486896 288735960 336858620 404230344 505287930 577471920 673717240 808460688 1010575860 1347434480 2021151720 4042303440