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2132420330400 = 25352888508471
BaseRepresentation
bin11111000001111110001…
…010000000001110100000
321112212011001001121201120
4133001332022000032200
5234414144101033100
64311342000132240
7310030235512203
oct37017612001640
97485131047646
102132420330400
11752399758a78
122a533b307080
131261179c2469
14752d158b93a
153a7085810a0
hex1f07e2803a0

2132420330400 has 72 divisors (see below), whose sum is σ = 6941028183264. Its totient is φ = 568645420800.

The previous prime is 2132420330363. The next prime is 2132420330413. The reversal of 2132420330400 is 40330242312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444251836 + ... + 444256635.

It is an arithmetic number, because the mean of its divisors is an integer number (96403169212).

Almost surely, 22132420330400 is an apocalyptic number.

2132420330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132420330400 is an abundant number, since it is smaller than the sum of its proper divisors (4808607852864).

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

2132420330400 is a wasteful number, since it uses less digits than its factorization.

2132420330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888508494 (or 888508481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2132420330400 its reverse (40330242312), we get a palindrome (2172750572712).

The spelling of 2132420330400 in words is "two trillion, one hundred thirty-two billion, four hundred twenty million, three hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 888508471 1777016942 2665525413 3554033884 4442542355 5331050826 7108067768 8885084710 10662101652 13327627065 14216135536 17770169420 21324203304 22212711775 26655254130 28432271072 35540338840 42648406608 44425423550 53310508260 66638135325 71080677680 85296813216 88850847100 106621016520 133276270650 142161355360 177701694200 213242033040 266552541300 355403388400 426484066080 533105082600 710806776800 1066210165200 2132420330400