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4032041200020 = 223555411533527
BaseRepresentation
bin111010101011001000011…
…000100010100110010100
3112021110101212212022100000
4322223020120202212110
51012030110021400040
612324143312051300
7564206511500331
oct72531030424624
915243355768300
104032041200020
111314a85162469
1255152a533b30
132332b20319a2
14dd21a8c9988
156ed38dd4130
hex3aac8622994

4032041200020 has 144 divisors (see below), whose sum is σ = 12706960226688. Its totient is φ = 1073222835840.

The previous prime is 4032041200007. The next prime is 4032041200049. The reversal of 4032041200020 is 200021402304.

4032041200020 is a `hidden beast` number, since 403 + 2 + 0 + 41 + 200 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4032041199966 and 4032041200002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862497 + ... + 3396023.

It is an arithmetic number, because the mean of its divisors is an integer number (88242779352).

Almost surely, 24032041200020 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 4032041200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353480113344).

4032041200020 is an abundant number, since it is smaller than the sum of its proper divisors (8674919026668).

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

4032041200020 is a wasteful number, since it uses less digits than its factorization.

4032041200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534092 (or 1534078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4032041200020 its reverse (200021402304), we get a palindrome (4232062602324).

The spelling of 4032041200020 in words is "four trillion, thirty-two billion, forty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 541 810 972 1082 1215 1620 1623 2164 2430 2705 3246 4860 4869 5410 6492 8115 9738 10820 14607 16230 19476 24345 29214 32460 43821 48690 58428 73035 87642 97380 131463 146070 175284 219105 262926 292140 438210 525852 657315 876420 1314630 1533527 2629260 3067054 4600581 6134108 7667635 9201162 13801743 15335270 18402324 23002905 27603486 30670540 41405229 46005810 55206972 69008715 82810458 92011620 124215687 138017430 165620916 207026145 248431374 276034860 372647061 414052290 496862748 621078435 745294122 828104580 829638107 1242156870 1490588244 1659276214 1863235305 2484313740 2488914321 3318552428 3726470610 4148190535 4977828642 7452941220 7466742963 8296381070 9955657284 12444571605 14933485926 16592762140 22400228889 24889143210 29866971852 37333714815 44800457778 49778286420 67200686667 74667429630 89600915556 112001144445 134401373334 149334859260 201602060001 224002288890 268802746668 336003433335 403204120002 448004577780 672006866670 806408240004 1008010300005 1344013733340 2016020600010 4032041200020