Search a number
-
+
444415047355640 = 235491103177219313
BaseRepresentation
bin110010100001100010111000…
…1000001111100110011111000
32011021112122220202201001210102
41211003011301001330303320
5431222244004110340030
64213105242042334532
7162415633111224644
oct14503056101746370
92137478822631712
10444415047355640
111196713aa3a0739
1241a167441ba448
13160c920b838bba
147ba5b35855c24
15365a3c6769c45
hex194317107ccf8

444415047355640 has 64 divisors (see below), whose sum is σ = 1001984661617760. Its totient is φ = 177401441710080.

The previous prime is 444415047355621. The next prime is 444415047355649. The reversal of 444415047355640 is 46553740514444.

It is a super-2 number, since 2×4444150473556402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444415047355649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026286624 + ... + 2026505936.

Almost surely, 2444415047355640 is an apocalyptic number.

444415047355640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444415047355640 is an abundant number, since it is smaller than the sum of its proper divisors (557569614262120).

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

444415047355640 is a wasteful number, since it uses less digits than its factorization.

444415047355640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322992 (or 322988 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 56.

The spelling of 444415047355640 in words is "four hundred forty-four trillion, four hundred fifteen billion, forty-seven million, three hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 491 982 1964 2455 3928 4910 9820 19640 103177 206354 219313 412708 438626 515885 825416 877252 1031770 1096565 1754504 2063540 2193130 4127080 4386260 8772520 50659907 101319814 107682683 202639628 215365366 253299535 405279256 430730732 506599070 538413415 861461464 1013198140 1076826830 2026396280 2153653660 4307307320 22628057401 45256114802 90512229604 113140287005 181024459208 226280574010 452561148020 905122296040 11110376183891 22220752367782 44441504735564 55551880919455 88883009471128 111103761838910 222207523677820 444415047355640