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4445135104040 = 235192307834841
BaseRepresentation
bin100000010101111011010…
…1100101110100000101000
3120201221200002220220212222
41000223312230232200220
51040312114041312130
613242022240053212
7636102406651541
oct100536654564050
916657602826788
104445135104040
111464197977744
125b95b6904208
1326323632c917
14115207a9d4c8
157a9650ccce5
hex40af6b2e828

4445135104040 has 48 divisors (see below), whose sum is σ = 10555656732180. Its totient is φ = 1684472244480.

The previous prime is 4445135104009. The next prime is 4445135104043. The reversal of 4445135104040 is 404015315444.

It can be written as a sum of positive squares in 2 ways, for example, as 4323896042404 + 121239061636 = 2079398^2 + 348194^2 .

It is not an unprimeable number, because it can be changed into a prime (4445135104043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 153902981 + ... + 153931860.

Almost surely, 24445135104040 is an apocalyptic number.

4445135104040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4445135104040 is an abundant number, since it is smaller than the sum of its proper divisors (6110521628140).

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

4445135104040 is a wasteful number, since it uses less digits than its factorization.

4445135104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307834890 (or 307834867 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 4445135104040 in words is "four trillion, four hundred forty-five billion, one hundred thirty-five million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 307834841 615669682 1231339364 1539174205 2462678728 3078348410 5848861979 6156696820 11697723958 12313393640 23395447916 29244309895 46790895832 58488619790 111128377601 116977239580 222256755202 233954479160 444513510404 555641888005 889027020808 1111283776010 2222567552020 4445135104040