Search a number
-
+
312343234201422 = 23359397630139191
BaseRepresentation
bin100011100000100110001001…
…1100001011100011101001110
31111221220201111000201201012000
41013001030103201130131032
5311414412420423421142
63024144300110253130
7122535024342203424
oct10701142341343516
91457821430651160
10312343234201422
1190582026a31aa6
122b0462651b71a6
1310538ac0a5a7b8
14571b6c9493114
152619b6e82c14c
hex11c131385c74e

312343234201422 has 128 divisors (see below), whose sum is σ = 707768766950400. Its totient is φ = 102073145328000.

The previous prime is 312343234201399. The next prime is 312343234201429. The reversal of 312343234201422 is 224102432343213.

312343234201422 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 3 + 23 + 4 + 201 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312343234201429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7969749847 + ... + 7969789037.

It is an arithmetic number, because the mean of its divisors is an integer number (5529443491800).

Almost surely, 2312343234201422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312343234201422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353884383475200).

312343234201422 is an abundant number, since it is smaller than the sum of its proper divisors (395425532748978).

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

312343234201422 is a wasteful number, since it uses less digits than its factorization.

312343234201422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45959 (or 45953 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312343234201422 its reverse (224102432343213), we get a palindrome (536445666544635).

The spelling of 312343234201422 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-four million, two hundred one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 397 531 794 1062 1191 1593 2382 3186 3573 6301 7146 10719 12602 18903 21438 23423 37806 39191 46846 56709 70269 78382 113418 117573 140538 170127 210807 235146 340254 352719 371759 421614 632421 705438 743518 1058157 1115277 1264842 2116314 2230554 2312269 2501497 3345831 4624538 5002994 6691662 6936807 7504491 10037493 13873614 15008982 15558827 20074986 20810421 22513473 31117654 41620842 45026946 46676481 62431263 67540419 93352962 124862526 135080838 140029443 147588323 246942491 280058886 295176646 420088329 442764969 493884982 740827473 840176658 885529938 917970793 1328294907 1481654946 1835941586 2222482419 2656589814 2753912379 3984884721 4444964838 5507824758 6667447257 7969769442 8261737137 13334894514 14569606969 16523474274 24785211411 29139213938 43708820907 49570422822 87417641814 98036168927 131126462721 196072337854 262252925442 294108506781 393379388163 588217013562 786758776326 882325520343 1764651040686 2646976561029 5293953122058 5784133966693 11568267933386 17352401900079 34704803800158 52057205700237 104114411400474 156171617100711 312343234201422