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402132440000 = 265420814831
BaseRepresentation
bin1011101101000001111…
…01100001001111000000
31102102222022010112202002
411312200331201033000
523042031401040000
6504423113443132
741024134225154
oct5664075411700
91372868115662
10402132440000
111455a8308105
1265b294104a8
132bbc8376965
141566b495064
15a6d8c1c8d5
hex5da0f613c0

402132440000 has 140 divisors (see below), whose sum is σ = 997843437888. Its totient is φ = 160742400000.

The previous prime is 402132439957. The next prime is 402132440009. The reversal of 402132440000 is 44231204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402132440009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83237585 + ... + 83242415.

Almost surely, 2402132440000 is an apocalyptic number.

402132440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402132440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498921718944).

402132440000 is an abundant number, since it is smaller than the sum of its proper divisors (595710997888).

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

402132440000 is an equidigital number, since it uses as much as digits as its factorization.

402132440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 402132440000 its reverse (44231204), we get a palindrome (402176671204).

The spelling of 402132440000 in words is "four hundred two billion, one hundred thirty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2081 2500 4000 4162 4831 5000 8000 8324 9662 10000 10405 16648 19324 20000 20810 24155 33296 38648 40000 41620 48310 52025 66592 77296 83240 96620 104050 120775 133184 154592 166480 193240 208100 241550 260125 309184 332960 386480 416200 483100 520250 603875 665920 772960 832400 966200 1040500 1207750 1300625 1545920 1664800 1932400 2081000 2415500 2601250 3019375 3329600 3864800 4162000 4831000 5202500 6038750 7729600 8324000 9662000 10053311 10405000 12077500 16648000 19324000 20106622 20810000 24155000 38648000 40213244 41620000 48310000 50266555 80426488 83240000 96620000 100533110 160852976 193240000 201066220 251332775 321705952 402132440 502665550 643411904 804264880 1005331100 1256663875 1608529760 2010662200 2513327750 3217059520 4021324400 5026655500 6283319375 8042648800 10053311000 12566638750 16085297600 20106622000 25133277500 40213244000 50266555000 80426488000 100533110000 201066220000 402132440000