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1444074046840 = 235471017605193
BaseRepresentation
bin10101000000111001100…
…001010100010101111000
312010001102000002100121001
4111000321201110111320
5142124430423444330
63023222022254344
7206221333604305
oct25007141242570
95101360070531
101444074046840
11507479174a97
121b3a555873b4
13a6238a35629
144dc71cc40ac
152786c6469ca
hex15039854578

1444074046840 has 64 divisors (see below), whose sum is σ = 3351152684160. Its totient is φ = 559742131200.

The previous prime is 1444074046757. The next prime is 1444074046843. The reversal of 1444074046840 is 486404704441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444074046843) 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, 3612717 + ... + 3992476.

It is an arithmetic number, because the mean of its divisors is an integer number (52361760690).

Almost surely, 21444074046840 is an apocalyptic number.

1444074046840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444074046840 is an abundant number, since it is smaller than the sum of its proper divisors (1907078637320).

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

1444074046840 is a wasteful number, since it uses less digits than its factorization.

1444074046840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605352 (or 7605348 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 46.

The spelling of 1444074046840 in words is "one trillion, four hundred forty-four billion, seventy-four million, forty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 101 188 202 235 376 404 470 505 808 940 1010 1880 2020 4040 4747 9494 18988 23735 37976 47470 94940 189880 7605193 15210386 30420772 38025965 60841544 76051930 152103860 304207720 357444071 714888142 768124493 1429776284 1536248986 1787220355 2859552568 3072497972 3574440710 3840622465 6144995944 7148881420 7681244930 14297762840 15362489860 30724979720 36101851171 72203702342 144407404684 180509255855 288814809368 361018511710 722037023420 1444074046840