Search a number
-
+
41040114414420 = 223511214192903123
BaseRepresentation
bin10010101010011011001010…
…11100001111001101010100
312101022101201010200211101010
421111031211130033031110
520334400123242230140
6223141322425532220
711434023202512222
oct1125154534171524
9171271633624333
1041040114414420
1112093018745280
124729a23344070
1319b90b25352a4
14a1c4d0393b12
154b283301a880
hex25536570f354

41040114414420 has 96 divisors (see below), whose sum is σ = 125364790817280. Its totient is φ = 9948650719360.

The previous prime is 41040114414419. The next prime is 41040114414503. The reversal of 41040114414420 is 2441441104014.

41040114414420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410401144144202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12684979 + ... + 15588101.

It is an arithmetic number, because the mean of its divisors is an integer number (1305883237680).

Almost surely, 241040114414420 is an apocalyptic number.

It is an amenable number.

41040114414420 is an abundant number, since it is smaller than the sum of its proper divisors (84324676402860).

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

41040114414420 is a wasteful number, since it uses less digits than its factorization.

41040114414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924565 (or 2924563 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 41040114414420 its reverse (2441441104014), we get a palindrome (43481555518434).

The spelling of 41040114414420 in words is "forty-one trillion, forty billion, one hundred fourteen million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 21419 42838 64257 85676 107095 128514 214190 235609 257028 321285 428380 471218 642570 706827 942436 1178045 1285140 1413654 2356090 2827308 2903123 3534135 4712180 5806246 7068270 8709369 11612492 14136540 14515615 17418738 29031230 31934353 34837476 43546845 58062460 63868706 87093690 95803059 127737412 159671765 174187380 191606118 319343530 383212236 479015295 638687060 958030590 1916061180 62181991537 124363983074 186545974611 248727966148 310909957685 373091949222 621819915370 684001906907 746183898444 932729873055 1243639830740 1368003813814 1865459746110 2052005720721 2736007627628 3420009534535 3730919492220 4104011441442 6840019069070 8208022882884 10260028603605 13680038138140 20520057207210 41040114414420