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42433933933424 = 2411743420177243
BaseRepresentation
bin10011010010111111010111…
…00011101111101101110000
312120020122101211000122210102
421221133223203233231300
521030214144041332144
6230125514035251532
711636515304113235
oct1151375343575560
9176218354018712
1042433933933424
1112580148500730
124913b92749ba8
131a8a66c8615c7
14a69b55c0d78c
154d8c0d791b4e
hex2697eb8efb70

42433933933424 has 80 divisors (see below), whose sum is σ = 89833160381184. Its totient is φ = 19257357504000.

The previous prime is 42433933933423. The next prime is 42433933933477.

42433933933424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42433933933424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433933933421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549317747 + ... + 549394989.

Almost surely, 242433933933424 is an apocalyptic number.

42433933933424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42433933933424 is an abundant number, since it is smaller than the sum of its proper divisors (47399226447760).

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

42433933933424 is a wasteful number, since it uses less digits than its factorization.

42433933933424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82206 (or 82200 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 56.

The spelling of 42433933933424 in words is "forty-two trillion, four hundred thirty-three billion, nine hundred thirty-three million, nine hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 743 1486 2972 4201 5944 8173 8402 11888 16346 16804 32692 33608 46211 65384 67216 77243 92422 130768 154486 184844 308972 369688 617944 739376 849673 1235888 1699346 3121343 3398692 6242686 6797384 12485372 13594768 24970744 34334773 49941488 57391549 68669546 114783098 137339092 229566196 274678184 324497843 459132392 549356368 631307039 648995686 918264784 1262614078 1297991372 2525228156 2595982744 3569476273 5050456312 5191965488 7138952546 10100912624 14277905092 28555810184 57111620368 241101897349 482203794698 964407589396 1928815178792 2652120870839 3857630357584 5304241741678 10608483483356 21216966966712 42433933933424