Search a number
-
+
40332001120 = 2551055923873
BaseRepresentation
bin100101100011111110…
…010111111101100000
310212002210202221102021
4211203332113331200
51130044443013440
630310034431224
72625315232045
oct454376277540
9125083687367
1040332001120
11161173aa434
127997132514
133a59aa6128
141d487111cc
1510b0c1784a
hex963f97f60

40332001120 has 48 divisors (see below), whose sum is σ = 95297368320. Its totient is φ = 16130596864.

The previous prime is 40332001103. The next prime is 40332001123. The reversal of 40332001120 is 2110023304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 40332001094 and 40332001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40332001123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677504 + ... + 1701376.

It is an arithmetic number, because the mean of its divisors is an integer number (1985361840).

Almost surely, 240332001120 is an apocalyptic number.

40332001120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40332001120 is an abundant number, since it is smaller than the sum of its proper divisors (54965367200).

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

40332001120 is a wasteful number, since it uses less digits than its factorization.

40332001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34447 (or 34439 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40332001120 its reverse (2110023304), we get a palindrome (42442024424).

The spelling of 40332001120 in words is "forty billion, three hundred thirty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10559 21118 23873 42236 47746 52795 84472 95492 105590 119365 168944 190984 211180 238730 337888 381968 422360 477460 763936 844720 954920 1689440 1909840 3819680 252075007 504150014 1008300028 1260375035 2016600056 2520750070 4033200112 5041500140 8066400224 10083000280 20166000560 40332001120