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234001342432302 = 233141534799120641
BaseRepresentation
bin110101001101001010101110…
…111001001000010000101110
31010200112022100220001010220120
4311031022232321020100232
5221132334222130313202
62145402422131425410
7100201016256346014
oct6515125671102056
91120468326033816
10234001342432302
1168618459445255
12222b3040155266
13a07530266a4a3
1441ada227188b4
151c0bda2ae60bc
hexd4d2aee4842e

234001342432302 has 128 divisors (see below), whose sum is σ = 504329114419200. Its totient is φ = 72238073856000.

The previous prime is 234001342432267. The next prime is 234001342432307. The reversal of 234001342432302 is 203234243100432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234001342432307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1939589902 + ... + 1939710542.

It is an arithmetic number, because the mean of its divisors is an integer number (3940071206400).

Almost surely, 2234001342432302 is an apocalyptic number.

234001342432302 is an abundant number, since it is smaller than the sum of its proper divisors (270327771986898).

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

234001342432302 is a wasteful number, since it uses less digits than its factorization.

234001342432302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125570.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 234001342432302 its reverse (203234243100432), we get a palindrome (437235585532734).

The spelling of 234001342432302 in words is "two hundred thirty-four trillion, one billion, three hundred forty-two million, four hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 31 41 53 62 82 93 106 123 159 186 246 318 1271 1643 2173 2542 3286 3813 4346 4799 4929 6519 7626 9598 9858 13038 14397 28794 67363 120641 134726 148769 196759 202089 241282 254347 297538 361923 393518 404178 446307 508694 590277 723846 763041 892614 1180554 1526082 3739871 4946281 6099529 6393973 7479742 7884757 9892562 10428227 11219613 12199058 12787946 14838843 15769514 18298587 19181919 20856454 22439226 23654271 29677686 31284681 36597174 38363838 47308542 62569362 153334711 198213163 262152893 306669422 323275037 396426326 460004133 524305786 578956159 594639489 646550074 786458679 920008266 969825111 1157912318 1189278978 1572917358 1736868477 1939650222 3473736954 8126739683 16253479366 17947640929 23737202519 24380219049 30684676427 35895281858 47474405038 48760438098 53842922787 61369352854 71211607557 92054029281 107685845574 142423215114 184108058562 735853278089 951224969237 1258071733507 1471706556178 1902449938474 2207559834267 2516143467014 2853674907711 3774215200521 4415119668534 5707349815422 7548430401042 39000223738717 78000447477434 117000671216151 234001342432302