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33143413504212 = 223211238737416497
BaseRepresentation
bin1111000100100110011010…
…11000110111100011010100
311100100110221110202220011100
413202103031120313203110
513321010202324113322
6154253512435510100
76660350453333034
oct742231530674324
9140313843686140
1033143413504212
11a619051970130
1238734ba158330
131565544aa47cb
14828214d958c4
153c7209c62dac
hex1e24cd6378d4

33143413504212 has 144 divisors (see below), whose sum is σ = 95380334404992. Its totient is φ = 9605663907840.

The previous prime is 33143413504211. The next prime is 33143413504217. The reversal of 33143413504212 is 21240531434133.

33143413504212 is a `hidden beast` number, since 3 + 3 + 1 + 434 + 1 + 3 + 5 + 0 + 4 + 212 = 666.

It is a super-2 number, since 2×331434135042122 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33143413504211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79368348 + ... + 79784844.

It is an arithmetic number, because the mean of its divisors is an integer number (662363433368).

Almost surely, 233143413504212 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 33143413504212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47690167202496).

33143413504212 is an abundant number, since it is smaller than the sum of its proper divisors (62236920900780).

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

33143413504212 is a wasteful number, since it uses less digits than its factorization.

33143413504212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425278 (or 425273 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 33143413504212 its reverse (21240531434133), we get a palindrome (54383944938345).

The spelling of 33143413504212 in words is "thirty-three trillion, one hundred forty-three billion, four hundred thirteen million, five hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 8737 9108 17474 26211 34948 52422 78633 96107 104844 157266 192214 200951 288321 314532 384428 401902 416497 576642 602853 803804 832994 864963 1153284 1205706 1249491 1665988 1729926 1808559 2210461 2411412 2498982 3459852 3617118 3748473 4420922 4581467 4997964 6631383 7234236 7496946 8841844 9162934 9579431 13262766 13744401 14993892 18325868 19158862 19894149 26525532 27488802 28738293 38317724 39788298 41233203 54977604 57476586 79576596 82466406 86214879 105373741 114953172 164932812 172429758 210747482 316121223 344859516 421494964 632242446 948363669 1264484892 1896727338 3638934289 3793454676 7277868578 10916802867 14555737156 21833605734 32750408601 40028277179 43667211468 65500817202 80056554358 83695488647 120084831537 131001634404 160113108716 167390977294 240169663074 251086465941 334781954588 360254494611 480339326148 502172931882 720508989222 753259397823 920650375117 1004345863764 1441017978444 1506518795646 1841300750234 2761951125351 3013037591292 3682601500468 5523902250702 8285853376053 11047804501404 16571706752106 33143413504212