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424334000424528 = 243217180799958739
BaseRepresentation
bin110000001111011011111010…
…1010111001000011001010000
32001122102221020002010212122100
41200132313311113020121100
5421104242013102041103
64102252203151240400
7155244056050514115
oct14036676527103120
92048387202125570
10424334000424528
1111322a0479697a7
123b712932219100
13152a06a85608bc
1476adc377b690c
15340cd7b5635a3
hex181edf55c8650

424334000424528 has 120 divisors (see below), whose sum is σ = 1257409752768000. Its totient is φ = 133123517125632.

The previous prime is 424334000424527. The next prime is 424334000424553. The reversal of 424334000424528 is 825424000433424.

424334000424528 is a `hidden beast` number, since 4 + 2 + 43 + 3 + 40 + 0 + 0 + 42 + 4 + 528 = 666.

It is a super-3 number, since 3×4243340004245283 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424334000424527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442116583 + ... + 443075321.

It is an arithmetic number, because the mean of its divisors is an integer number (10478414606400).

Almost surely, 2424334000424528 is an apocalyptic number.

424334000424528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424334000424528 is an abundant number, since it is smaller than the sum of its proper divisors (833075752343472).

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

424334000424528 is a wasteful number, since it uses less digits than its factorization.

424334000424528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139569 (or 1139560 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 424334000424528 in words is "four hundred twenty-four trillion, three hundred thirty-four billion, four hundred twenty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 180799 361598 542397 723196 958739 1084794 1446392 1627191 1917478 2169588 2876217 2892784 3073583 3254382 3834956 4339176 5752434 6147166 6508764 7669912 8628651 8678352 9220749 11504868 12294332 13017528 15339824 16298563 17257302 18441498 23009736 24588664 26035056 27662247 32597126 34514604 36882996 46019472 48895689 49177328 55324494 65194252 69029208 73765992 97791378 110648988 130388504 138058416 146687067 147531984 195582756 221297976 260777008 293374134 391165512 442595952 586748268 782331024 1173496536 2346993072 173339052461 346678104922 520017157383 693356209844 1040034314766 1386712419688 1560051472149 2080068629532 2773424839376 2946763891837 3120102944298 4160137259064 5893527783674 6240205888596 8320274518128 8840291675511 11787055567348 12480411777192 17680583351022 23574111134696 24960823554384 26520875026533 35361166702044 47148222269392 53041750053066 70722333404088 106083500106132 141444666808176 212167000212264 424334000424528