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4034041311040 = 265132342161803
BaseRepresentation
bin111010101100111111100…
…110010110111101000000
3112021122120021102110211221
4322230333212112331000
51012043204033423130
612325114001244424
7564310206243646
oct72547746267500
915248507373757
104034041311040
111315911175484
125519a8333714
13233540517730
14dd36a3b3196
156ee047b987a
hex3ab3f996f40

4034041311040 has 112 divisors (see below), whose sum is σ = 10794771001728. Its totient is φ = 1424731613184.

The previous prime is 4034041311029. The next prime is 4034041311149. The reversal of 4034041311040 is 401131404304.

It is a junction number, because it is equal to n+sod(n) for n = 4034041310996 and 4034041311014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20985222 + ... + 21176581.

It is an arithmetic number, because the mean of its divisors is an integer number (96381883944).

Almost surely, 24034041311040 is an apocalyptic number.

4034041311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034041311040 is an abundant number, since it is smaller than the sum of its proper divisors (6760729690688).

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

4034041311040 is a wasteful number, since it uses less digits than its factorization.

4034041311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42161856 (or 42161846 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4034041311040 its reverse (401131404304), we get a palindrome (4435172715344).

The spelling of 4034041311040 in words is "four trillion, thirty-four billion, forty-one million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 130 160 184 208 230 260 299 320 368 416 460 520 598 736 832 920 1040 1196 1472 1495 1840 2080 2392 2990 3680 4160 4784 5980 7360 9568 11960 19136 23920 47840 95680 42161803 84323606 168647212 210809015 337294424 421618030 548103439 674588848 843236060 969721469 1096206878 1349177696 1686472120 1939442938 2192413756 2698355392 2740517195 3372944240 3878885876 4384827512 4848607345 5481034390 6745888480 7757771752 8769655024 9697214690 10962068780 12606379097 13491776960 15515543504 17539310048 19394429380 21924137560 25212758194 31031087008 35078620096 38788858760 43848275120 50425516388 62062174016 63031895485 77577717520 87696550240 100851032776 126063790970 155155435040 175393100480 201702065552 252127581940 310310870080 403404131104 504255163880 806808262208 1008510327760 2017020655520 4034041311040