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440100442125201 = 311134493228327433
BaseRepresentation
bin110010000010001001101111…
…0100001001011001110010001
32010201021012011111202202110110
41210010103132201023032101
5430141101201141001301
64200003204010351533
7161462131140665334
oct14404233641131621
92121235144682413
10440100442125201
11118258605203aa0
124143a4b772b5a9
1315b753a80c54a0
147a96d9179261b
1535d3050cba0d6
hex19044de84b391

440100442125201 has 32 divisors (see below), whose sum is σ = 689541544202112. Its totient is φ = 246155237890560.

The previous prime is 440100442125163. The next prime is 440100442125221. The reversal of 440100442125201 is 102521244001044.

It is not a de Polignac number, because 440100442125201 - 213 = 440100442117009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (440100442125221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112236220 + ... + 116091213.

It is an arithmetic number, because the mean of its divisors is an integer number (21548173256316).

Almost surely, 2440100442125201 is an apocalyptic number.

It is an amenable number.

440100442125201 is a deficient number, since it is larger than the sum of its proper divisors (249441102076911).

440100442125201 is a wasteful number, since it uses less digits than its factorization.

440100442125201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228331953.

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 440100442125201 its reverse (102521244001044), we get a palindrome (542621686126245).

The spelling of 440100442125201 in words is "four hundred forty trillion, one hundred billion, four hundred forty-two million, one hundred twenty-five thousand, two hundred one".

Divisors: 1 3 11 13 33 39 143 429 4493 13479 49423 58409 148269 175227 642499 1927497 228327433 684982299 2511601763 2968256629 7534805289 8904769887 32650822919 97952468757 1025875156469 3077625469407 11284626721159 13336377034097 33853880163477 40009131102291 146700147375067 440100442125201