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102440014104 = 23331857160663
BaseRepresentation
bin101111101100111100…
…1101001000100011000
3100210102012221220100110
41133121321221010120
53134244120422404
6115021005004320
710254362516151
oct1373171510430
9323365856313
10102440014104
113a49879888a
1217a2ab536a0
13987719847c
144d5b138928
1529e8566b89
hex17d9e69118

102440014104 has 64 divisors (see below), whose sum is σ = 264671447040. Its totient is φ = 33006401280.

The previous prime is 102440014099. The next prime is 102440014109. The reversal of 102440014104 is 401410044201.

It is an interprime number because it is at equal distance from previous prime (102440014099) and next prime (102440014109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102440014109) 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 15 ways as a sum of consecutive naturals, for example, 557277 + ... + 717939.

It is an arithmetic number, because the mean of its divisors is an integer number (4135491360).

Almost surely, 2102440014104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102440014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132335723520).

102440014104 is an abundant number, since it is smaller than the sum of its proper divisors (162231432936).

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

102440014104 is a wasteful number, since it uses less digits than its factorization.

102440014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161560 (or 161556 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102440014104 its reverse (401410044201), we get a palindrome (503850058305).

The spelling of 102440014104 in words is "one hundred two billion, four hundred forty million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 857 1714 2571 3428 5142 6856 10284 20568 26567 53134 79701 106268 159402 160663 212536 318804 321326 481989 637608 642652 963978 1285304 1927956 3855912 4980553 9961106 14941659 19922212 29883318 39844424 59766636 119533272 137688191 275376382 413064573 550752764 826129146 1101505528 1652258292 3304516584 4268333921 8536667842 12805001763 17073335684 25610003526 34146671368 51220007052 102440014104