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312632466234 = 231153193571811
BaseRepresentation
bin1001000110010100101…
…10001101101100111010
31002212221220010210122220
410203022112031230322
520110232402404414
6355342114424510
731405216055064
oct4431226155472
91085856123586
10312632466234
1111064a971140
125070bb92136
13236340186ba
14111bab58734
1581eb711ca9
hex48ca58db3a

312632466234 has 128 divisors (see below), whose sum is σ = 700664380416. Its totient is φ = 92192256000.

The previous prime is 312632466193. The next prime is 312632466257. The reversal of 312632466234 is 432664236213.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385489689 + ... + 385490499.

It is an arithmetic number, because the mean of its divisors is an integer number (5473940472).

Almost surely, 2312632466234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312632466234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350332190208).

312632466234 is an abundant number, since it is smaller than the sum of its proper divisors (388031914182).

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

312632466234 is a wasteful number, since it uses less digits than its factorization.

312632466234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644.

The product of its digits is 746496, while the sum is 42.

The spelling of 312632466234 in words is "three hundred twelve billion, six hundred thirty-two million, four hundred sixty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 193 318 386 571 579 583 811 1142 1158 1166 1622 1713 1749 2123 2433 3426 3498 4246 4866 6281 6369 8921 10229 12562 12738 17842 18843 20458 26763 30263 30687 37686 42983 53526 60526 61374 85966 90789 110203 112519 128949 156523 181578 220406 225038 257898 313046 330609 332893 337557 463081 469569 472813 661218 665786 675114 926162 939138 945626 998679 1212233 1389243 1418439 1721753 1997358 2424466 2778486 2836878 3443506 3636699 5093891 5165259 5840759 7273398 8295719 10187782 10330518 11681518 15281673 16591438 17522277 24543293 24887157 30563346 35044554 49086586 49774314 64248349 73629879 89374633 91252909 128496698 147259758 178749266 182505818 192745047 268123899 269976223 273758727 385490094 536247798 539952446 547517454 809928669 983120963 1619857338 1966241926 2949362889 4736855549 5898725778 9473711098 14210566647 28421133294 52105411039 104210822078 156316233117 312632466234