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104355441040 = 2455813224401
BaseRepresentation
bin110000100110000010…
…0011010100110010000
3100222100201011200010211
41201030010122212100
53202204443103130
6115535031133504
710353011420224
oct1411404324620
9328321150124
10104355441040
1140290a20454
1218284514294
139ac0c70aa6
14509d69a784
152aab7c0a2a
hex184c11a990

104355441040 has 40 divisors (see below), whose sum is σ = 242669220408. Its totient is φ = 41734809600.

The previous prime is 104355440947. The next prime is 104355441049. The reversal of 104355441040 is 40144553401.

It can be written as a sum of positive squares in 4 ways, for example, as 3818251264 + 100537189776 = 61792^2 + 317076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 104355440993 and 104355441011.

It is not an unprimeable number, because it can be changed into a prime (104355441049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352840 + ... + 577240.

Almost surely, 2104355441040 is an apocalyptic number.

104355441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104355441040 is an abundant number, since it is smaller than the sum of its proper divisors (138313779368).

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

104355441040 is a wasteful number, since it uses less digits than its factorization.

104355441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230227 (or 230221 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 104355441040 its reverse (40144553401), we get a palindrome (144499994441).

The spelling of 104355441040 in words is "one hundred four billion, three hundred fifty-five million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5813 11626 23252 29065 46504 58130 93008 116260 224401 232520 448802 465040 897604 1122005 1795208 2244010 3590416 4488020 8976040 17952080 1304443013 2608886026 5217772052 6522215065 10435544104 13044430130 20871088208 26088860260 52177720520 104355441040