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424334000424376 = 237199269202769833
BaseRepresentation
bin110000001111011011111010…
…1010111001000010110111000
32001122102221020002010212102201
41200132313311113020112320
5421104242013102040001
64102252203151235544
7155244056050513510
oct14036676527102670
92048387202125381
10424334000424376
1111322a047969679
123b712932218bb4
13152a06a8560803
1476adc377b6840
15340cd7b563501
hex181edf55c85b8

424334000424376 has 128 divisors (see below), whose sum is σ = 917719320960000. Its totient is φ = 180179404618752.

The previous prime is 424334000424329. The next prime is 424334000424377. The reversal of 424334000424376 is 673424000433424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424334000424377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6076375956 + ... + 6076445788.

It is an arithmetic number, because the mean of its divisors is an integer number (7169682195000).

Almost surely, 2424334000424376 is an apocalyptic number.

It is an amenable number.

424334000424376 is an abundant number, since it is smaller than the sum of its proper divisors (493385320535624).

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

424334000424376 is a wasteful number, since it uses less digits than its factorization.

424334000424376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72341 (or 72337 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 46.

The spelling of 424334000424376 in words is "four hundred twenty-four trillion, three hundred thirty-four billion, four hundred twenty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 199 269 398 538 796 1076 1393 1592 1883 2027 2152 2786 3766 4054 5572 7532 8108 11144 14189 15064 16216 28378 53531 56756 69833 107062 113512 139666 214124 279332 374717 403373 428248 488831 545263 558664 749434 806746 977662 1090526 1498868 1613492 1955324 2181052 2823611 2997736 3226984 3816841 3910648 4362104 5647222 7633682 11294444 13896767 15267364 18785077 22588888 27793534 30534728 37570154 55587068 75140308 97277369 108507337 111174136 131495539 141551491 150280616 194554738 217014674 262991078 283102982 389109476 434029348 525982156 566205964 759551359 778218952 868058696 990860437 1051964312 1132411928 1519102718 1981720874 3038205436 3738230323 3963441748 6076410872 7476460646 7926883496 14952921292 26167612261 28168746709 29905842584 38077351079 52335224522 56337493418 76154702158 104670449044 112674986836 152309404316 197181226963 209340898088 225349973672 266541457553 304618808632 394362453926 533082915106 788724907852 1066165830212 1577449815704 2132331660424 7577392864721 15154785729442 30309571458884 53041750053047 60619142917768 106083500106094 212167000212188 424334000424376