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23443401133204 = 22135361210332213
BaseRepresentation
bin1010101010010010101111…
…00110001100110010010100
310002000011111221012011020121
411111021113212030302110
511033044041142230304
6121505425542441324
74636505222515033
oct525112746146224
9102004457164217
1023443401133204
117519321853938
1227675a3733244
13101091b036080
145b09494a871a
152a9c3b388554
hex15525798cc94

23443401133204 has 144 divisors (see below), whose sum is σ = 45830472223536. Its totient is φ = 10427026821120.

The previous prime is 23443401133183. The next prime is 23443401133219. The reversal of 23443401133204 is 40233110434432.

It can be written as a sum of positive squares in 24 ways, for example, as 12555315049104 + 10888086084100 = 3543348^2 + 3299710^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23443401133204.

It is a congruent number.

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, 10593492402 + ... + 10593494614.

It is an arithmetic number, because the mean of its divisors is an integer number (318267168219).

Almost surely, 223443401133204 is an apocalyptic number.

It is an amenable number.

23443401133204 is a deficient number, since it is larger than the sum of its proper divisors (22387071090332).

23443401133204 is a wasteful number, since it uses less digits than its factorization.

23443401133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 23443401133204 its reverse (40233110434432), we get a palindrome (63676511567636).

The spelling of 23443401133204 in words is "twenty-three trillion, four hundred forty-three billion, four hundred one million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 4 13 26 52 53 61 106 122 212 244 689 793 1033 1378 1586 2066 2213 2756 3172 3233 3721 4132 4426 6466 7442 8852 12932 13429 14884 26858 28769 42029 48373 53716 54749 57538 63013 84058 96746 109498 115076 117289 126026 134993 168116 193492 197213 218996 234578 252052 269986 394426 469156 539972 711737 788852 819169 1423474 1524757 1638338 1754909 2286029 2563769 2846948 3049514 3276676 3339689 3509818 3843793 4572058 5127538 6099028 6679378 7019636 7154629 7687586 8234573 9144116 10255076 13358756 14309258 15375172 16469146 28618516 29718377 32938292 43415957 49969309 59436754 86831914 93010177 99938618 107049449 118873508 121159537 139447769 173663828 186020354 199877236 203721029 214098898 242319074 278895538 372040708 407442058 428197796 436432369 484638148 557791076 814884116 872864738 1575073981 1745729476 1812820997 2648373377 3150147962 3625641994 5296746754 5673620797 6300295924 7251283988 7390731757 8506313909 10593493508 11347241594 14781463514 17012627818 22694483188 29562927028 34025255636 96079512841 110582080817 192159025682 221164161634 384318051364 442328323268 450834637177 901669274354 1803338548708 5860850283301 11721700566602 23443401133204