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444421032144 = 24311381936031
BaseRepresentation
bin1100111011110011000…
…11101100100011010000
31120111010110120121110120
412131321203230203100
524240133241012034
6540055245030240
744052111305235
oct6357143544320
91514113517416
10444421032144
111615290a5311
127216b855380
1332ba7608a4b
141771d9a178c
15b8615c0c49
hex67798ec8d0

444421032144 has 40 divisors (see below), whose sum is σ = 1158247748352. Its totient is φ = 146829365760.

The previous prime is 444421032131. The next prime is 444421032157. The reversal of 444421032144 is 441230124444.

444421032144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (444421032131) and next prime (444421032157).

It is a super-3 number, since 3×4444210321443 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40962592 + ... + 40973439.

Almost surely, 2444421032144 is an apocalyptic number.

It is an amenable number.

444421032144 is an abundant number, since it is smaller than the sum of its proper divisors (713826716208).

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

444421032144 is a wasteful number, since it uses less digits than its factorization.

444421032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81936155 (or 81936149 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 444421032144 its reverse (441230124444), we get a palindrome (885651156588).

The spelling of 444421032144 in words is "four hundred forty-four billion, four hundred twenty-one million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 81936031 163872062 245808093 327744124 491616186 655488248 983232372 1310976496 1966464744 3932929488 9258771503 18517543006 27776314509 37035086012 55552629018 74070172024 111105258036 148140344048 222210516072 444421032144