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42401432040 = 23351132122297
BaseRepresentation
bin100111011111010100…
…101000000111101000
311001110000202220221220
4213133110220013220
51143314231311130
631251241502040
73030514140252
oct473724500750
9131400686856
1042401432040
1116a89559520
1282741a1920
133cc974cc76
1420a34c0cd2
151182742410
hex9df5281e8

42401432040 has 64 divisors (see below), whose sum is σ = 138768327360. Its totient is φ = 10279134720.

The previous prime is 42401432033. The next prime is 42401432071. The reversal of 42401432040 is 4023410424.

It is a happy number.

42401432040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 42401432040.

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, 16059829 + ... + 16062468.

It is an arithmetic number, because the mean of its divisors is an integer number (2168255115).

Almost surely, 242401432040 is an apocalyptic number.

42401432040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42401432040 is an abundant number, since it is smaller than the sum of its proper divisors (96366895320).

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

42401432040 is a wasteful number, since it uses less digits than its factorization.

42401432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32122322 (or 32122318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42401432040 its reverse (4023410424), we get a palindrome (46424842464).

The spelling of 42401432040 in words is "forty-two billion, four hundred one million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 32122297 64244594 96366891 128489188 160611485 192733782 256978376 321222970 353345267 385467564 481834455 642445940 706690534 770935128 963668910 1060035801 1284891880 1413381068 1766726335 1927337820 2120071602 2826762136 3533452670 3854675640 4240143204 5300179005 7066905340 8480286408 10600358010 14133810680 21200716020 42401432040