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10314424204344 = 23341311933102607
BaseRepresentation
bin1001011000011000001110…
…0101110011110000111000
31100112001022221211210010000
42112012003211303300320
52322442420044014334
633534214150553000
72113123022106561
oct226060345636070
940461287753100
1010314424204344
113317360626557
1211a7007968760
1359a852430590
14279313c0d168
1512d47daca299
hex96183973c38

10314424204344 has 160 divisors (see below), whose sum is σ = 31115151587520. Its totient is φ = 3173372100864.

The previous prime is 10314424204327. The next prime is 10314424204369. The reversal of 10314424204344 is 44340242441301.

10314424204344 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 442 + 4 + 204 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10314424204299 and 10314424204308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100472289 + ... + 100574895.

It is an arithmetic number, because the mean of its divisors is an integer number (194469697422).

Almost surely, 210314424204344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314424204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557575793760).

10314424204344 is an abundant number, since it is smaller than the sum of its proper divisors (20800727383176).

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

10314424204344 is a wasteful number, since it uses less digits than its factorization.

10314424204344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114571 (or 114558 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10314424204344 its reverse (44340242441301), we get a palindrome (54654666645645).

The spelling of 10314424204344 in words is "ten trillion, three hundred fourteen billion, four hundred twenty-four million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 11933 23866 35799 47732 71598 95464 102607 107397 143196 155129 205214 214794 286392 307821 310258 322191 410428 429588 465387 615642 620516 644382 820856 859176 923463 930774 966573 1231284 1241032 1288764 1333891 1396161 1846926 1861548 1933146 2462568 2577528 2667782 2770389 2792322 3693852 3723096 3866292 4001673 4188483 5335564 5540778 5584644 7387704 7732584 8003346 8311167 8376966 10671128 11081556 11169288 12005019 12565449 16006692 16622334 16753932 22163112 24010038 25130898 32013384 33244668 33507864 36015057 48020076 50261796 66489336 72030114 96040152 100523592 108045171 144060228 216090342 288120456 432180684 864361368 1224409331 2448818662 3673227993 4897637324 7346455986 9795274648 11019683979 14692911972 15917321303 22039367958 29385823944 31834642606 33059051937 44078735916 47751963909 63669285212 66118103874 88157471832 95503927818 99177155811 127338570424 132236207748 143255891727 191007855636 198354311622 264472415496 286511783454 382015711272 396708623244 429767675181 573023566908 793417246488 859535350362 1146047133816 1289303025543 1719070700724 2578606051086 3438141401448 5157212102172 10314424204344