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5044041304040 = 235294348311469
BaseRepresentation
bin100100101100110100001…
…0010100100011111101000
3122212012112220121011212002
41021121220102210133220
51130120144033212130
614421111154310132
71030264021445354
oct111315022443750
918765486534762
105044041304040
1116751909000a2
1269569b288348
132a786049a49b
141361c097a464
158b318ddbb45
hex496684a47e8

5044041304040 has 32 divisors (see below), whose sum is σ = 11740440969000. Its totient is φ = 1948043537664.

The previous prime is 5044041304031. The next prime is 5044041304129. The reversal of 5044041304040 is 404031404405.

It can be written as a sum of positive squares in 4 ways, for example, as 4975335458116 + 68705845924 = 2230546^2 + 262118^2 .

It is a super-3 number, since 3×50440413040403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 5044041303994 and 5044041304012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2174154575 + ... + 2174156894.

Almost surely, 25044041304040 is an apocalyptic number.

It is an amenable number.

5044041304040 is an abundant number, since it is smaller than the sum of its proper divisors (6696399664960).

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

5044041304040 is a wasteful number, since it uses less digits than its factorization.

5044041304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348311509 (or 4348311505 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 5044041304040 its reverse (404031404405), we get a palindrome (5448072708445).

The spelling of 5044041304040 in words is "five trillion, forty-four billion, forty-one million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 4348311469 8696622938 17393245876 21741557345 34786491752 43483114690 86966229380 126101032601 173932458760 252202065202 504404130404 630505163005 1008808260808 1261010326010 2522020652020 5044041304040