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40230310320 = 24325291926739
BaseRepresentation
bin100101011101111010…
…011101000110110000
310211211201102111212100
4211131322131012300
51124342424412240
630252003100400
72622641665314
oct453572350660
9124751374770
1040230310320
1116074a63652
127969071700
133a419bcb65
141d38dddb44
1510a6d2be30
hex95de9d1b0

40230310320 has 120 divisors (see below), whose sum is σ = 139765719600. Its totient is φ = 10358143488.

The previous prime is 40230310261. The next prime is 40230310343. The reversal of 40230310320 is 2301303204.

40230310320 is a `hidden beast` number, since 4 + 0 + 2 + 30 + 310 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40230310293 and 40230310302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942490 + ... + 984249.

It is an arithmetic number, because the mean of its divisors is an integer number (1164714330).

Almost surely, 240230310320 is an apocalyptic number.

40230310320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40230310320 is an abundant number, since it is smaller than the sum of its proper divisors (99535409280).

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

40230310320 is a wasteful number, since it uses less digits than its factorization.

40230310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926787 (or 1926778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 40230310320 its reverse (2301303204), we get a palindrome (42531613524).

The spelling of 40230310320 in words is "forty billion, two hundred thirty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 1926739 3853478 5780217 7706956 9633695 11560434 15413912 17340651 19267390 23120868 28901085 30827824 34681302 38534780 46241736 55875431 57802170 69362604 77069560 86703255 92483472 111750862 115604340 138725208 154139120 167626293 173406510 223501724 231208680 277450416 279377155 335252586 346813020 447003448 462417360 502878879 558754310 670505172 693626040 838131465 894006896 1005757758 1117508620 1341010344 1387252080 1676262930 2011515516 2235017240 2514394395 2682020688 3352525860 4023031032 4470034480 5028788790 6705051720 8046062064 10057577580 13410103440 20115155160 40230310320