Search a number
-
+
102343374096 = 2434156392369
BaseRepresentation
bin101111101010000100…
…0111111010100010000
3100210011111010002011220
41133110020333110100
53134044400432341
6115003233405040
710252110216645
oct1372410772420
9323144102156
10102343374096
113a449191807
1217a02709780
139860160132
144d4c37ddcc
1529ded27a66
hex17d423f510

102343374096 has 80 divisors (see below), whose sum is σ = 271319509440. Its totient is φ = 33222922240.

The previous prime is 102343373983. The next prime is 102343374121. The reversal of 102343374096 is 690473343201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061800 + ... + 1154168.

It is an arithmetic number, because the mean of its divisors is an integer number (3391493868).

Almost surely, 2102343374096 is an apocalyptic number.

102343374096 is a gapful number since it is divisible by the number (16) 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 102343374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135659754720).

102343374096 is an abundant number, since it is smaller than the sum of its proper divisors (168976135344).

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

102343374096 is a wasteful number, since it uses less digits than its factorization.

102343374096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92984 (or 92978 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 102343374096 in words is "one hundred two billion, three hundred forty-three million, three hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 563 656 984 1126 1689 1968 2252 3378 4504 6756 9008 13512 23083 27024 46166 69249 92332 92369 138498 184664 184738 276996 277107 369328 369476 553992 554214 738952 1107984 1108428 1477904 2216856 3787129 4433712 7574258 11361387 15148516 22722774 30297032 45445548 52003747 60594064 90891096 104007494 156011241 181782192 208014988 312022482 416029976 624044964 832059952 1248089928 2132153627 2496179856 4264307254 6396460881 8528614508 12792921762 17057229016 25585843524 34114458032 51171687048 102343374096