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102943214208 = 2732449199021
BaseRepresentation
bin101111111011111100…
…1001100101010000000
3100211201021211010010100
41133313321030222000
53141311430323313
6115142542202400
710303012611642
oct1376771145200
9324637733110
10102943214208
113a72684053a
1217b4b583400
139927501003
144da7cc4892
152a27813173
hex17f7e4ca80

102943214208 has 96 divisors (see below), whose sum is σ = 296891068500. Its totient is φ = 34237808640.

The previous prime is 102943214207. The next prime is 102943214243. The reversal of 102943214208 is 802412349201.

102943214208 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 432 + 14 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96194263104 + 6748951104 = 310152^2 + 82152^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102943214207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417738 + ... + 616758.

Almost surely, 2102943214208 is an apocalyptic number.

102943214208 is a gapful number since it is divisible by the number (18) 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 102943214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148445534250).

102943214208 is an abundant number, since it is smaller than the sum of its proper divisors (193947854292).

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

102943214208 is a wasteful number, since it uses less digits than its factorization.

102943214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199490 (or 199475 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 102943214208 in words is "one hundred two billion, nine hundred forty-three million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 449 576 898 1152 1347 1796 2694 3592 4041 5388 7184 8082 10776 14368 16164 21552 28736 32328 43104 57472 64656 86208 129312 172416 199021 258624 398042 517248 597063 796084 1194126 1592168 1791189 2388252 3184336 3582378 4776504 6368672 7164756 9553008 12737344 14329512 19106016 25474688 28659024 38212032 57318048 76424064 89360429 114636096 178720858 229272192 268081287 357441716 536162574 714883432 804243861 1072325148 1429766864 1608487722 2144650296 2859533728 3216975444 4289300592 5719067456 6433950888 8578601184 11438134912 12867901776 17157202368 25735803552 34314404736 51471607104 102943214208