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234444162072 = 233731371397027
BaseRepresentation
bin1101101001010111110…
…1100000010000011000
3211102010211001102010210
43122111331200100120
512320120201141242
6255411400011120
722636513332411
oct3322575402030
9742124042123
10234444162072
1190477687a4a
123952aa60aa0
131915333a373
14b4c085c808
15617230bd9c
hex3695f60418

234444162072 has 128 divisors (see below), whose sum is σ = 602867462400. Its totient is φ = 75953645568.

The previous prime is 234444162049. The next prime is 234444162101. The reversal of 234444162072 is 270261444432.

It is a self number, because there is not a number n which added to its sum of digits gives 234444162072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33359823 + ... + 33366849.

It is an arithmetic number, because the mean of its divisors is an integer number (4709902050).

Almost surely, 2234444162072 is an apocalyptic number.

It is an amenable number.

234444162072 is an abundant number, since it is smaller than the sum of its proper divisors (368423300328).

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

234444162072 is a wasteful number, since it uses less digits than its factorization.

234444162072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 234444162072 in words is "two hundred thirty-four billion, four hundred forty-four million, one hundred sixty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 73 137 139 146 219 274 278 292 411 417 438 548 556 584 822 834 876 1096 1112 1644 1668 1752 3288 3336 7027 10001 10147 14054 19043 20002 20294 21081 28108 30003 30441 38086 40004 40588 42162 56216 57129 60006 60882 76172 80008 81176 84324 114258 120012 121764 152344 168648 228516 240024 243528 457032 512971 962699 976753 1025942 1390139 1538913 1925398 1953506 2051884 2780278 2888097 2930259 3077826 3850796 3907012 4103768 4170417 5560556 5776194 5860518 6155652 7701592 7814024 8340834 11121112 11552388 11721036 12311304 16681668 23104776 23442072 33363336 70277027 71302969 133815161 140554054 142605938 210831081 213908907 267630322 281108108 285211876 401445483 421662162 427817814 535260644 562216216 570423752 802890966 843324324 855635628 1070521288 1605781932 1686648648 1711271256 3211563864 9768506753 19537013506 29305520259 39074027012 58611040518 78148054024 117222081036 234444162072