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42773251450040 = 2353159946761757
BaseRepresentation
bin10011011100110111011000…
…11101010110010010111000
312121110002020102210110211122
421232123230131112102320
521101244104332400130
6230545432131244412
712003160021322126
oct1156335435262270
9177402212713748
1042773251450040
11126a1041390111
1249698ab449708
131ab3667227337
14a7c344a24916
154e296ca752e5
hex26e6ec7564b8

42773251450040 has 128 divisors (see below), whose sum is σ = 101040435763200. Its totient is φ = 16274771120640.

The previous prime is 42773251450037. The next prime is 42773251450063. The reversal of 42773251450040 is 4005415237724.

It is a junction number, because it is equal to n+sod(n) for n = 42773251449973 and 42773251450000.

It is a congruent number.

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, 692574842 + ... + 692636598.

It is an arithmetic number, because the mean of its divisors is an integer number (789378404400).

Almost surely, 242773251450040 is an apocalyptic number.

42773251450040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42773251450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50520217881600).

42773251450040 is an abundant number, since it is smaller than the sum of its proper divisors (58267184313160).

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

42773251450040 is a wasteful number, since it uses less digits than its factorization.

42773251450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71325 (or 71321 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

Adding to 42773251450040 its reverse (4005415237724), we get a palindrome (46778666687764).

The spelling of 42773251450040 in words is "forty-two trillion, seven hundred seventy-three billion, two hundred fifty-one million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 1180 1240 1829 2360 3658 7316 9145 9467 14632 18290 18934 36580 37868 47335 61757 73160 75736 94670 123514 189340 247028 293477 308785 378680 494056 558553 586954 617570 1117106 1173908 1235140 1467385 1914467 2234212 2347816 2470280 2792765 2934770 3643663 3828934 4468424 5585530 5869540 7287326 7657868 9572335 11171060 11739080 14574652 15315736 17315143 18218315 19144670 22342120 29149304 34630286 36436630 38289340 69260572 72873260 76578680 86575715 112953553 138521144 145746520 173151430 225907106 346302860 451814212 564767765 584653519 692605720 903628424 1129535530 1169307038 2259071060 2338614076 2923267595 4518142120 4677228152 5846535190 11693070380 18124259089 23386140760 34494557621 36248518178 68989115242 72497036356 90621295445 137978230484 144994072712 172472788105 181242590890 275956460968 344945576210 362485181780 689891152420 724970363560 1069331286251 1379782304840 2138662572502 4277325145004 5346656431255 8554650290008 10693312862510 21386625725020 42773251450040