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4123140210234 = 23219103198758907
BaseRepresentation
bin111011111111111110010…
…011101011111000111010
3112121011112201201112001100
4323333332103223320322
51020023142343211414
612434051112032230
7603613154345313
oct73777623537072
915534481645040
104123140210234
11134a683182161
12567113392676
1323ba6c749266
141037bd74960a
15723bb99d609
hex3bffe4ebe3a

4123140210234 has 96 divisors (see below), whose sum is σ = 9499890516480. Its totient is φ = 1288732273056.

The previous prime is 4123140210193. The next prime is 4123140210283. The reversal of 4123140210234 is 4320120413214.

4123140210234 is a `hidden beast` number, since 4 + 1 + 23 + 1 + 402 + 1 + 0 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4123140210198 and 4123140210207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69964609 + ... + 70023515.

It is an arithmetic number, because the mean of its divisors is an integer number (98957192880).

Almost surely, 24123140210234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123140210234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749945258240).

4123140210234 is an abundant number, since it is smaller than the sum of its proper divisors (5376750306246).

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

4123140210234 is a wasteful number, since it uses less digits than its factorization.

4123140210234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61024 (or 61021 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4123140210234 its reverse (4320120413214), we get a palindrome (8443260623448).

The spelling of 4123140210234 in words is "four trillion, one hundred twenty-three billion, one hundred forty million, two hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 618 927 1854 1957 1987 3914 3974 5871 5961 11742 11922 17613 17883 35226 35766 37753 58907 75506 113259 117814 176721 204661 226518 339777 353442 409322 530163 613983 679554 1060326 1119233 1227966 1841949 2238466 3357699 3683898 3888559 6067421 6715398 7777118 10073097 11665677 12134842 18202263 20146194 23331354 34997031 36404526 54606789 69994062 109213578 115280999 117048209 230561998 234096418 345842997 351144627 691685994 702289254 1037528991 1053433881 2075057982 2106867762 2223915971 4447831942 6671747913 12055965527 13343495826 20015243739 24111931054 36167896581 40030487478 72335793162 108503689743 217007379486 229063345013 458126690026 687190035039 1374380070078 2061570105117 4123140210234