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104662231143440 = 2456127897689917
BaseRepresentation
bin10111110011000010010011…
…000110111101010000010000
3111201120121111211201220212112
4113303002103012331100100
5102204241222133042230
61010333055404244452
731021411441040435
oct2763022306752020
9451517454656775
10104662231143440
1130392003a3a4a3
12b8a42a9540728
1346527b5642c79
141bbb971311b8c
15c17788b69d95
hex5f30931bd410

104662231143440 has 80 divisors (see below), whose sum is σ = 247417574909040. Its totient is φ = 41163812751360.

The previous prime is 104662231143419. The next prime is 104662231143443. The reversal of 104662231143440 is 44341132266401.

It can be written as a sum of positive squares in 8 ways, for example, as 10533737607184 + 94128493536256 = 3245572^2 + 9701984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (104662231143443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9765362 + ... + 17455278.

It is an arithmetic number, because the mean of its divisors is an integer number (3092719686363).

Almost surely, 2104662231143440 is an apocalyptic number.

104662231143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104662231143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123708787454520).

104662231143440 is an abundant number, since it is smaller than the sum of its proper divisors (142755343765600).

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

104662231143440 is a wasteful number, since it uses less digits than its factorization.

104662231143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692780 (or 7692774 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 104662231143440 in words is "one hundred four trillion, six hundred sixty-two billion, two hundred thirty-one million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2789 4880 5578 11156 13945 22312 27890 44624 55780 111560 170129 223120 340258 680516 850645 1361032 1701290 2722064 3402580 6805160 7689917 13610320 15379834 30759668 38449585 61519336 76899170 123038672 153798340 307596680 469084937 615193360 938169874 1876339748 2345424685 3752679496 4690849370 7505358992 9381698740 18763397480 21447178513 37526794960 42894357026 85788714052 107235892565 171577428104 214471785130 343154856208 428943570260 857887140520 1308277889293 1715774281040 2616555778586 5233111557172 6541389446465 10466223114344 13082778892930 20932446228688 26165557785860 52331115571720 104662231143440