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40014023424 = 28352101593
BaseRepresentation
bin100101010001000001…
…011000101100000000
310211021122110000000120
4211101001120230000
51123422042222144
630214315220240
72614404405264
oct452101305400
9124248400016
1040014023424
1115a73967051
127908747680
133a08c5254b
141d183bc0a4
151092d56e19
hex951058b00

40014023424 has 36 divisors (see below), whose sum is σ = 106495658136. Its totient is φ = 13338007552.

The previous prime is 40014023359. The next prime is 40014023449. The reversal of 40014023424 is 42432041004.

It is a happy number.

It is a super-2 number, since 2×400140234242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40014023394 and 40014023403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26050029 + ... + 26051564.

It is an arithmetic number, because the mean of its divisors is an integer number (2958212726).

Almost surely, 240014023424 is an apocalyptic number.

It is an amenable number.

40014023424 is an abundant number, since it is smaller than the sum of its proper divisors (66481634712).

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

40014023424 is an equidigital number, since it uses as much as digits as its factorization.

40014023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52101612 (or 52101598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40014023424 its reverse (42432041004), we get a palindrome (82446064428).

The spelling of 40014023424 in words is "forty billion, fourteen million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 52101593 104203186 156304779 208406372 312609558 416812744 625219116 833625488 1250438232 1667250976 2500876464 3334501952 5001752928 6669003904 10003505856 13338007808 20007011712 40014023424