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40241120024 = 2378915595179
BaseRepresentation
bin100101011110100011…
…101100001100011000
310211212110202200222202
4211132203230030120
51124403211320044
630253030505332
72623132606430
oct453643541430
9124773680882
1040241120024
1116080077096
127970805248
133a44006131
141d3a6152c0
1510a7c64c4e
hex95e8ec318

40241120024 has 64 divisors (see below), whose sum is σ = 87272640000. Its totient is φ = 17038188288.

The previous prime is 40241119981. The next prime is 40241120027. The reversal of 40241120024 is 42002114204.

It is a junction number, because it is equal to n+sod(n) for n = 40241119978 and 40241120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40241120027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7767467 + ... + 7772645.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635000).

Almost surely, 240241120024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40241120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43636320000).

40241120024 is an abundant number, since it is smaller than the sum of its proper divisors (47031519976).

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

40241120024 is a wasteful number, since it uses less digits than its factorization.

40241120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40241120024 its reverse (42002114204), we get a palindrome (82243234228).

The spelling of 40241120024 in words is "forty billion, two hundred forty-one million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 1559 2492 3118 4984 5179 6236 10358 10913 12472 20716 21826 36253 41432 43652 72506 87304 138751 145012 277502 290024 460931 555004 921862 971257 1110008 1843724 1942514 3226517 3687448 3885028 6453034 7770056 8074061 12906068 16148122 25812136 32296244 56518427 64592488 113036854 226073708 452147416 718591429 1437182858 2874365716 5030140003 5748731432 10060280006 20120560012 40241120024