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33232230124040 = 23517631656311801
BaseRepresentation
bin1111000111001011110110…
…10001011000101000001000
311100122222012020220122212102
413203211323101120220020
513323434101402432130
6154402401544132532
76666643433211443
oct743457321305010
9140588166818772
1033232230124040
11a6527895a7182
123888766767148
131570a2a6a131c
1482c63ca4c65a
153c96a7288645
hex1e397b458a08

33232230124040 has 128 divisors (see below), whose sum is σ = 79315172939520. Its totient is φ = 12488168448000.

The previous prime is 33232230123929. The next prime is 33232230124097. The reversal of 33232230124040 is 4042103223233.

It is a super-2 number, since 2×332322301240402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33232230123994 and 33232230124012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2816046140 + ... + 2816057940.

It is an arithmetic number, because the mean of its divisors is an integer number (619649788590).

Almost surely, 233232230124040 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 33232230124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657586469760).

33232230124040 is an abundant number, since it is smaller than the sum of its proper divisors (46082942815480).

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

33232230124040 is a wasteful number, since it uses less digits than its factorization.

33232230124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023 (or 19019 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 33232230124040 its reverse (4042103223233), we get a palindrome (37274333347273).

The spelling of 33232230124040 in words is "thirty-three trillion, two hundred thirty-two billion, two hundred thirty million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 631 680 1262 2524 3155 5048 6310 6563 10727 11801 12620 13126 21454 23602 25240 26252 32815 42908 47204 52504 53635 59005 65630 85816 94408 107270 111571 118010 131260 200617 214540 223142 236020 262520 401234 429080 446284 472040 557855 802468 892568 1003085 1115710 1604936 2006170 2231420 4012340 4141253 4462840 7446431 8024680 8282506 14892862 16565012 20706265 29785724 33130024 37232155 41412530 59571448 70401301 74464310 77449963 82825060 126589327 140802602 148928620 154899926 165650120 253178654 281605204 297857240 309799852 352006505 387249815 506357308 563210408 619599704 632946635 704013010 774499630 1012714616 1265893270 1316649371 1408026020 1548999260 2531786540 2633298742 2816052040 3097998520 5063573080 5266597484 6583246855 10533194968 13166493710 26332987420 48870926653 52665974840 97741853306 195483706612 244354633265 390967413224 488709266530 830805753101 977418533060 1661611506202 1954837066120 3323223012404 4154028765505 6646446024808 8308057531010 16616115062020 33232230124040