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423212464212324 = 223791313671928313
BaseRepresentation
bin110000000111010001101010…
…0100110000000100101100100
32001111110201100021220011200120
41200032203110212000211210
5420432403111314243244
64100033042210041540
7155100043251143643
oct14016432446004544
92044421307804616
10423212464212324
11112937441a15826
123b5714b1b792b0
131521b9c1a49cc7
147671841db935a
1533ddada047819
hex180e8d4980964

423212464212324 has 96 divisors (see below), whose sum is σ = 1007904820285440. Its totient is φ = 138184068422400.

The previous prime is 423212464212283. The next prime is 423212464212337.

423212464212324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455429992 + ... + 456358304.

It is an arithmetic number, because the mean of its divisors is an integer number (10499008544640).

Almost surely, 2423212464212324 is an apocalyptic number.

It is an amenable number.

423212464212324 is an abundant number, since it is smaller than the sum of its proper divisors (584692356073116).

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

423212464212324 is a wasteful number, since it uses less digits than its factorization.

423212464212324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932201 (or 932199 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 423212464212324 in words is "four hundred twenty-three trillion, two hundred twelve billion, four hundred sixty-four million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 79 131 158 237 262 316 393 474 524 786 948 1572 3671 7342 10349 11013 14684 20698 22026 31047 41396 44052 62094 124188 290009 480901 580018 870027 928313 961802 1160036 1442703 1740054 1856626 1923604 2784939 2885406 3480108 3713252 5569878 5770812 11139756 37991179 73336727 75982358 113973537 121609003 146673454 151964716 220010181 227947074 243218006 293346908 364827009 440020362 455894148 486436012 729654018 880040724 1459308036 3407837023 6815674046 9607111237 10223511069 13631348092 19214222474 20447022138 28821333711 38428444948 40894044276 57642667422 115285334844 269219124817 446426650013 538438249634 807657374451 892853300026 1076876499268 1339279950039 1615314748902 1785706600052 2678559900078 3230629497804 5357119800156 35267705351027 70535410702054 105803116053081 141070821404108 211606232106162 423212464212324