Search a number
-
+
402135445200 = 24352335112871
BaseRepresentation
bin1011101101000010010…
…00111110111011010000
31102102222111210020002210
411312201020332323100
523042033133221300
6504423302112120
741024201612526
oct5664110767320
91372874706083
10402135445200
111455a9a7aa45
1265b2a41b640
132bbc8b89798
141566ba38316
15a6d9113050
hex5da123eed0

402135445200 has 60 divisors (see below), whose sum is σ = 1288173879968. Its totient is φ = 107236118400.

The previous prime is 402135445163. The next prime is 402135445219. The reversal of 402135445200 is 2544531204.

402135445200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167555236 + ... + 167557635.

Almost surely, 2402135445200 is an apocalyptic number.

402135445200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402135445200 is an abundant number, since it is smaller than the sum of its proper divisors (886038434768).

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

402135445200 is a wasteful number, since it uses less digits than its factorization.

402135445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335112892 (or 335112881 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 402135445200 its reverse (2544531204), we get a palindrome (404679976404).

The spelling of 402135445200 in words is "four hundred two billion, one hundred thirty-five million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 335112871 670225742 1005338613 1340451484 1675564355 2010677226 2680902968 3351128710 4021354452 5026693065 5361805936 6702257420 8042708904 8377821775 10053386130 13404514840 16085417808 16755643550 20106772260 25133465325 26809029680 33511287100 40213544520 50266930650 67022574200 80427089040 100533861300 134045148400 201067722600 402135445200