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4445038305444 = 22311219759154933
BaseRepresentation
bin100000010101111000011…
…1011011110000010100100
3120201221102100210001011210
41000223300323132002210
51040311414301233234
613242004501231420
7636100123122102
oct100536073360244
916657370701153
104445038305444
111464148272500
125b958a402570
1326321c26a349
141151d8ca2c72
157a95b85bbe9
hex40af0ede0a4

4445038305444 has 72 divisors (see below), whose sum is σ = 11401010508160. Its totient is φ = 1346904440640.

The previous prime is 4445038305431. The next prime is 4445038305467.

4445038305444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4445038305393 and 4445038305402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28612602 + ... + 28767534.

Almost surely, 24445038305444 is an apocalyptic number.

4445038305444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4445038305444 is an abundant number, since it is smaller than the sum of its proper divisors (6955972202716).

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

4445038305444 is a wasteful number, since it uses less digits than its factorization.

4445038305444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174721 (or 174708 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 48.

The spelling of 4445038305444 in words is "four trillion, four hundred forty-five billion, thirty-eight million, three hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 19759 39518 59277 79036 118554 154933 217349 237108 309866 434698 464799 619732 652047 869396 929598 1304094 1704263 1859196 2390839 2608188 3408526 4781678 5112789 6817052 7172517 9563356 10225578 14345034 18746893 20451156 28690068 37493786 56240679 74987572 112481358 224962716 3061321147 6122642294 9183963441 12245284588 18367926882 33674532617 36735853764 67349065234 101023597851 134698130468 202047195702 370419858787 404094391404 740839717574 1111259576361 1481679435148 2222519152722 4445038305444