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424325000523424 = 257112131204264487
BaseRepresentation
bin110000001111010111101110…
…0111011001110111010100000
32001122102001222212020112021211
41200132233130323032322200
5421104120100113222144
64102244114132155504
7155243320035564310
oct14036573473167240
92048361885215254
10424325000523424
11113226249735900
123b711040168b94
131529c8a2b16630
1476ad6223c9440
15340ca013a6034
hex181ebdceceea0

424325000523424 has 144 divisors (see below), whose sum is σ = 1130139600234624. Its totient is φ = 152604395665920.

The previous prime is 424325000523401. The next prime is 424325000523449.

424325000523424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601779892 + ... + 602484595.

It is an arithmetic number, because the mean of its divisors is an integer number (7848191668296).

Almost surely, 2424325000523424 is an apocalyptic number.

424325000523424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424325000523424 is an abundant number, since it is smaller than the sum of its proper divisors (705814599711200).

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

424325000523424 is a wasteful number, since it uses less digits than its factorization.

424325000523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204264539 (or 1204264520 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 424325000 and 523424, that added together give a palindrome (424848424).

The spelling of 424325000523424 in words is "four hundred twenty-four trillion, three hundred twenty-five billion, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 242 286 308 352 364 416 484 572 616 728 847 968 1001 1144 1232 1456 1573 1694 1936 2002 2288 2464 2912 3146 3388 3872 4004 4576 6292 6776 8008 11011 12584 13552 16016 22022 25168 27104 32032 44044 50336 88088 176176 352352 1204264487 2408528974 4817057948 8429851409 9634115896 13246909357 15655438331 16859702818 19268231792 26493818714 31310876662 33719405636 38536463584 52987637428 62621753324 67438811272 92728365499 105975274856 109588068317 125243506648 134877622544 145716002927 172209821641 185456730998 211950549712 219176136634 250487013296 269755245088 291432005854 344419643282 370913461996 423901099424 438352273268 500974026592 582864011708 688839286564 741826923992 876704546536 1020012020489 1165728023416 1205468751487 1377678573128 1483653847984 1753409093072 1894308038051 2040024040978 2331456046832 2410937502974 2755357146256 2967307695968 3506818186144 3788616076102 4080048081956 4662912093664 4821875005948 5510714292512 7577232152204 8160096163912 9643750011896 13260156266357 15154464304408 16320192327824 19287500023792 26520312532714 30308928608816 32640384655648 38575000047584 53040625065428 60617857217632 106081250130856 212162500261712 424325000523424