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40104411043240 = 23519127494384059
BaseRepresentation
bin10010001111001100010010…
…01011001001010110101000
312020222221111100201120100001
421013212021023021112220
520224032313211340430
6221143413451152344
711306306456213425
oct1107461113112650
9166887440646301
1040104411043240
1111862204572255
1245b86061456b4
13194baa2c0585b
149c90c72cad4c
1549831b3223ca
hex2479892c95a8

40104411043240 has 128 divisors (see below), whose sum is σ = 95752544256000. Its totient is φ = 15074566311168.

The previous prime is 40104411043199. The next prime is 40104411043243. The reversal of 40104411043240 is 4234011440104.

It is a junction number, because it is equal to n+sod(n) for n = 40104411043199 and 40104411043208.

It is not an unprimeable number, because it can be changed into a prime (40104411043243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477056331 + ... + 477140389.

It is an arithmetic number, because the mean of its divisors is an integer number (748066752000).

Almost surely, 240104411043240 is an apocalyptic number.

40104411043240 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 40104411043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876272128000).

40104411043240 is an abundant number, since it is smaller than the sum of its proper divisors (55648133212760).

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

40104411043240 is a wasteful number, since it uses less digits than its factorization.

40104411043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89159 (or 89155 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 40104411043240 its reverse (4234011440104), we get a palindrome (44338422483344).

The spelling of 40104411043240 in words is "forty trillion, one hundred four billion, four hundred eleven million, forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 127 152 190 254 380 508 635 760 1016 1270 2413 2540 4826 4943 5080 9652 9886 12065 19304 19772 24130 24715 39544 48260 49430 84059 93917 96520 98860 168118 187834 197720 336236 375668 420295 469585 627761 672472 751336 840590 939170 1255522 1597121 1681180 1878340 2511044 3138805 3194242 3362360 3756680 5022088 6277610 6388484 7985605 10675493 11927459 12555220 12776968 15971210 21350986 23854918 25110440 31942420 42701972 47709836 53377465 59637295 63884840 85403944 95419672 106754930 119274590 202834367 213509860 238549180 405668734 415503637 427019720 477098360 811337468 831007274 1014171835 1622674936 1662014548 2028343670 2077518185 3324029096 4056687340 4155036370 7894569103 8113374680 8310072740 15789138206 16620145480 31578276412 39472845515 52768961899 63156552824 78945691030 105537923798 157891382060 211075847596 263844809495 315782764120 422151695192 527689618990 1002610276081 1055379237980 2005220552162 2110758475960 4010441104324 5013051380405 8020882208648 10026102760810 20052205521620 40104411043240