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104444313320 = 2352969879457
BaseRepresentation
bin110000101000101011…
…1011011111011101000
3100222120220101211222202
41201101113123323220
53202400221011240
6115551524035332
710355141005124
oct1412127337350
9328526354882
10104444313320
1140327101516
12182aa232b48
139b064b9639
1450ab3d2584
152ab44c8315
hex18515dbee8

104444313320 has 32 divisors (see below), whose sum is σ = 235079123400. Its totient is φ = 41763606528.

The previous prime is 104444313287. The next prime is 104444313353. The reversal of 104444313320 is 23313444401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104444313287) and next prime (104444313353).

It can be written as a sum of positive squares in 4 ways, for example, as 67123482724 + 37320830596 = 259082^2 + 193186^2 .

It is a super-3 number, since 3×1044443133203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 320969 + ... + 558488.

Almost surely, 2104444313320 is an apocalyptic number.

104444313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104444313320 is an abundant number, since it is smaller than the sum of its proper divisors (130634810080).

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

104444313320 is a wasteful number, since it uses less digits than its factorization.

104444313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882437 (or 882433 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 104444313320 its reverse (23313444401), we get a palindrome (127757757721).

The spelling of 104444313320 in words is "one hundred four billion, four hundred forty-four million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2969 5938 11876 14845 23752 29690 59380 118760 879457 1758914 3517828 4397285 7035656 8794570 17589140 35178280 2611107833 5222215666 10444431332 13055539165 20888862664 26111078330 52222156660 104444313320