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324214121412423 = 321124347147311867
BaseRepresentation
bin100100110110111101111101…
…1100010011011011101000111
31120111221120022120022120001100
41021231323323202123131013
5314443411010040144143
63105313524453231143
7125201461111503534
oct11155737342333507
91514846276276040
10324214121412423
1194339489324500
1230442a513324b3
1310bba350312088
145a0c093753d8b
15277384773b6d3
hex126defb89b747

324214121412423 has 72 divisors (see below), whose sum is σ = 537931088158464. Its totient is φ = 187840306573920.

The previous prime is 324214121412413. The next prime is 324214121412451.

324214121412423 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 1 + 4 + 1 + 214 + 12 + 423 = 666.

324214121412423 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 324214121412423 - 221 = 324214119315271 is a prime.

It is a super-2 number, since 2×3242141214124232 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324214121412413) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71455065 + ... + 75856802.

It is an arithmetic number, because the mean of its divisors is an integer number (7471265113312).

Almost surely, 2324214121412423 is an apocalyptic number.

324214121412423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

324214121412423 is a deficient number, since it is larger than the sum of its proper divisors (213716966746041).

324214121412423 is a wasteful number, since it uses less digits than its factorization.

324214121412423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147311985 (or 147311971 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 324214121412423 in words is "three hundred twenty-four trillion, two hundred fourteen billion, one hundred twenty-one million, four hundred twelve thousand, four hundred twenty-three".

Divisors: 1 3 9 11 33 43 47 99 121 129 141 363 387 423 473 517 1089 1419 1551 2021 4257 4653 5203 5687 6063 15609 17061 18189 22231 46827 51183 66693 200079 244541 733623 2200869 147311867 441935601 1325806803 1620430537 4861291611 6334410281 6923657749 14583874833 17824735907 19003230843 20770973247 53474207721 57009692529 62312919741 69678513091 76160235239 160422623163 209035539273 228480705717 297717283207 627106617819 685442117151 766463644001 837762587629 893151849621 2299390932003 2513287762887 2679455548863 3274890115277 6898172796009 7539863288661 9824670345831 29474011037493 36023791268047 108071373804141 324214121412423