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402144223231040 = 2651256700697597
BaseRepresentation
bin101101101101111110111111…
…1100100101111110001000000
31221201212121112100120012201112
41123123331333210233301000
5410202212332121343130
63543142301124222452
7150463650511444553
oct13333757744576100
91851777470505645
10402144223231040
11107154453154604
123912a2b283aa28
13143510645c4a94
147143c5458869a
153175a6299a495
hex16dbf7f92fc40

402144223231040 has 28 divisors (see below), whose sum is σ = 957605931569676. Its totient is φ = 160857689292288.

The previous prime is 402144223230977. The next prime is 402144223231061. The reversal of 402144223231040 is 40132322441204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 222491590487104 + 179652632743936 = 14916152^2 + 13403456^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 402144223230988 and 402144223231006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628350348479 + ... + 628350349118.

Almost surely, 2402144223231040 is an apocalyptic number.

402144223231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402144223231040 is an abundant number, since it is smaller than the sum of its proper divisors (555461708338636).

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

402144223231040 is a wasteful number, since it uses less digits than its factorization.

402144223231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256700697614 (or 1256700697604 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 402144223231040 its reverse (40132322441204), we get a palindrome (442276545672244).

The spelling of 402144223231040 in words is "four hundred two trillion, one hundred forty-four billion, two hundred twenty-three million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1256700697597 2513401395194 5026802790388 6283503487985 10053605580776 12567006975970 20107211161552 25134013951940 40214422323104 50268027903880 80428844646208 100536055807760 201072111615520 402144223231040