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41122552401440 = 2552003290344201
BaseRepresentation
bin10010101100110100101110…
…01000001100111000100000
312101121021111101022110211122
421112122113020030320200
520342222441403321230
6223243234554031412
711443002120032546
oct1126322710147040
9171537441273748
1041122552401440
1112114a8184a064
1247419ab718568
1319c3abc796273
14a224b0c39d96
154b4a5a565be5
hex25669720ce20

41122552401440 has 96 divisors (see below), whose sum is σ = 97236215911296. Its totient is φ = 16434773555200.

The previous prime is 41122552401421. The next prime is 41122552401461. The reversal of 41122552401440 is 4410425522114.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41122552401440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930331340 + ... + 930375540.

It is an arithmetic number, because the mean of its divisors is an integer number (1012877249076).

Almost surely, 241122552401440 is an apocalyptic number.

41122552401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41122552401440 is an abundant number, since it is smaller than the sum of its proper divisors (56113663509856).

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

41122552401440 is a wasteful number, since it uses less digits than its factorization.

41122552401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49122 (or 49114 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 41122552401440 its reverse (4410425522114), we get a palindrome (45532977923554).

The spelling of 41122552401440 in words is "forty-one trillion, one hundred twenty-two billion, five hundred fifty-two million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2003 2903 4006 5806 8012 10015 11612 14515 16024 20030 23224 29030 32048 40060 44201 46448 58060 64096 80120 88402 92896 116120 160240 176804 221005 232240 320480 353608 442010 464480 707216 884020 1414432 1768040 3536080 5814709 7072160 11629418 23258836 29073545 46517672 58147090 88534603 93035344 116294180 128315503 177069206 186070688 232588360 256631006 354138412 442673015 465176720 513262012 641577515 708276824 885346030 930353440 1026524024 1283155030 1416553648 1770692060 2053048048 2566310060 2833107296 3541384120 4106096096 5132620120 7082768240 10265240240 14165536480 20530480480 257015952509 514031905018 1028063810036 1285079762545 2056127620072 2570159525090 4112255240144 5140319050180 8224510480288 10280638100360 20561276200720 41122552401440