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20401420320 = 253354722551
BaseRepresentation
bin10011000000000001…
…001111100000100000
31221122210212112102000
4103000001033200200
5313240230422240
613212225124000
71321365132351
oct230001174040
957583775360
1020401420320
11871a085056
123b54489600
131c018c5858
14db7739d28
157e6110430
hex4c004f820

20401420320 has 96 divisors (see below), whose sum is σ = 71404986240. Its totient is φ = 5440377600.

The previous prime is 20401420307. The next prime is 20401420321. The reversal of 20401420320 is 2302410402.

20401420320 is a `hidden beast` number, since 204 + 0 + 142 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 20401420293 and 20401420302.

It is not an unprimeable number, because it can be changed into a prime (20401420321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356956 + ... + 2365595.

It is an arithmetic number, because the mean of its divisors is an integer number (743801940).

Almost surely, 220401420320 is an apocalyptic number.

20401420320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401420320 is an abundant number, since it is smaller than the sum of its proper divisors (51003565920).

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

20401420320 is a wasteful number, since it uses less digits than its factorization.

20401420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722575 (or 4722561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20401420320 its reverse (2302410402), we get a palindrome (22703830722).

The spelling of 20401420320 in words is "twenty billion, four hundred one million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 4722551 9445102 14167653 18890204 23612755 28335306 37780408 42502959 47225510 56670612 70838265 75560816 85005918 94451020 113341224 127508877 141676530 151121632 170011836 188902040 212514795 226682448 255017754 283353060 340023672 377804080 425029590 453364896 510035508 566706120 637544385 680047344 755608160 850059180 1020071016 1133412240 1275088770 1360094688 1700118360 2040142032 2266824480 2550177540 3400236720 4080284064 5100355080 6800473440 10200710160 20401420320