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32430040540 = 2252931283701
BaseRepresentation
bin11110001100111110…
…110010010111011100
310002201002211202022121
4132030332302113130
51012404042244130
622522000152324
72225434540102
oct361476622734
9102632752277
1032430040540
1112831a044a7
1263509086a4
13309a96b301
1417d9087c72
15c9c135d7a
hex78cfb25dc

32430040540 has 144 divisors (see below), whose sum is σ = 73779582240. Its totient is φ = 11957568000.

The previous prime is 32430040501. The next prime is 32430040543. The reversal of 32430040540 is 4504003423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32430040543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46262190 + ... + 46262890.

It is an arithmetic number, because the mean of its divisors is an integer number (512358210).

Almost surely, 232430040540 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 32430040540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36889791120).

32430040540 is an abundant number, since it is smaller than the sum of its proper divisors (41349541700).

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

32430040540 is a wasteful number, since it uses less digits than its factorization.

32430040540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 32430040540 its reverse (4504003423), we get a palindrome (36934043963).

The spelling of 32430040540 in words is "thirty-two billion, four hundred thirty million, forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 83 116 124 145 155 166 290 310 332 415 580 620 701 830 899 961 1402 1660 1798 1922 2407 2573 2804 3505 3596 3844 4495 4805 4814 5146 7010 8990 9610 9628 10292 12035 12865 14020 17980 19220 20329 21731 24070 25730 27869 40658 43462 48140 51460 55738 58183 74617 79763 81316 86924 101645 108655 111476 116366 139345 149234 159526 203290 217310 232732 278690 290915 298468 319052 373085 398815 406580 434620 557380 581830 630199 673661 746170 797630 1163660 1260398 1347322 1492340 1595260 1687307 1803673 2313127 2520796 2694644 3150995 3368305 3374614 3607346 4626254 6301990 6736610 6749228 7214692 8436535 9018365 9252508 11565635 12603980 13473220 16873070 18036730 19536169 23131270 33746140 36073460 39072338 46262540 52306517 55913863 78144676 97680845 104613034 111827726 195361690 209226068 223655452 261532585 279569315 390723380 523065170 559138630 1046130340 1118277260 1621502027 3243004054 6486008108 8107510135 16215020270 32430040540