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4144403311040 = 26564320141929
BaseRepresentation
bin111100010011110001101…
…011111110100111000000
3112200012102120222221212102
4330103301223332213000
51020400214221423130
612451525042045532
7605265114620666
oct74236153764700
915605376887772
104144403311040
1113586a4696543
1256b2683498a8
13240a7aa0c805
141048396a8c36
1572c1356b645
hex3c4f1afe9c0

4144403311040 has 56 divisors (see below), whose sum is σ = 9884209025040. Its totient is φ = 1655183075328.

The previous prime is 4144403311033. The next prime is 4144403311129. The reversal of 4144403311040 is 401133044414.

It is a junction number, because it is equal to n+sod(n) for n = 4144403310994 and 4144403311012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9865205 + ... + 10276724.

It is an arithmetic number, because the mean of its divisors is an integer number (176503732590).

Almost surely, 24144403311040 is an apocalyptic number.

4144403311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144403311040 is an abundant number, since it is smaller than the sum of its proper divisors (5739805714000).

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

4144403311040 is a wasteful number, since it uses less digits than its factorization.

4144403311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20142589 (or 20142579 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4144403311040 its reverse (401133044414), we get a palindrome (4545536355454).

The spelling of 4144403311040 in words is "four trillion, one hundred forty-four billion, four hundred three million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 643 1286 2572 3215 5144 6430 10288 12860 20576 25720 41152 51440 102880 205760 20141929 40283858 80567716 100709645 161135432 201419290 322270864 402838580 644541728 805677160 1289083456 1611354320 3222708640 6445417280 12951260347 25902520694 51805041388 64756301735 103610082776 129512603470 207220165552 259025206940 414440331104 518050413880 828880662208 1036100827760 2072201655520 4144403311040