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102441266040 = 23356712741451
BaseRepresentation
bin101111101100111111…
…0011010101101111000
3100210102022022111200110
41133121332122231320
53134244431003130
6115021051504320
710254406252131
oct1373176325570
9323368274613
10102441266040
113a499473443
1217a2b4580a0
139877516269
144d5b382c88
1529e8712ab0
hex17d9f9ab78

102441266040 has 64 divisors (see below), whose sum is σ = 311910744960. Its totient is φ = 26909942400.

The previous prime is 102441266033. The next prime is 102441266041. The reversal of 102441266040 is 40662144201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102441265989 and 102441266007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102441266041) 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, 6362686 + ... + 6378765.

It is an arithmetic number, because the mean of its divisors is an integer number (4873605390).

Almost surely, 2102441266040 is an apocalyptic number.

102441266040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102441266040 is an abundant number, since it is smaller than the sum of its proper divisors (209469478920).

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

102441266040 is a wasteful number, since it uses less digits than its factorization.

102441266040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741532 (or 12741528 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 102441266040 in words is "one hundred two billion, four hundred forty-one million, two hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 12741451 25482902 38224353 50965804 63707255 76448706 101931608 127414510 152897412 191121765 254829020 305794824 382243530 509658040 764487060 853677217 1528974120 1707354434 2561031651 3414708868 4268386085 5122063302 6829417736 8536772170 10244126604 12805158255 17073544340 20488253208 25610316510 34147088680 51220633020 102441266040