Search a number
-
+
40325120400 = 2435233604267
BaseRepresentation
bin100101100011100100…
…001000000110010000
310212002022211100211210
4211203210020012100
51130041212323100
630305231140120
72625202603455
oct454344100620
9125068740753
1040325120400
111611352a894
127994974640
133a585372b6
141d4783d82c
1510b0308c50
hex963908190

40325120400 has 60 divisors (see below), whose sum is σ = 129174806192. Its totient is φ = 10753365120.

The previous prime is 40325120399. The next prime is 40325120401. The reversal of 40325120400 is 402152304.

It is an interprime number because it is at equal distance from previous prime (40325120399) and next prime (40325120401).

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

It is a super-2 number, since 2×403251204002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40325120401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16800934 + ... + 16803333.

Almost surely, 240325120400 is an apocalyptic number.

40325120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40325120400 is an abundant number, since it is smaller than the sum of its proper divisors (88849685792).

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

40325120400 is a wasteful number, since it uses less digits than its factorization.

40325120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33604288 (or 33604277 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40325120400 its reverse (402152304), we get a palindrome (40727272704).

The spelling of 40325120400 in words is "forty billion, three hundred twenty-five million, one hundred twenty thousand, four 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 33604267 67208534 100812801 134417068 168021335 201625602 268834136 336042670 403251204 504064005 537668272 672085340 806502408 840106675 1008128010 1344170680 1613004816 1680213350 2016256020 2520320025 2688341360 3360426700 4032512040 5040640050 6720853400 8065024080 10081280100 13441706800 20162560200 40325120400