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41002310122440 = 23353142953256609
BaseRepresentation
bin10010101001010100110000…
…01000010011101111001000
312101011210010111020211000220
421110222120020103233020
520333240212342404230
6223112111244430040
711431214316363432
oct1124523010235710
9171153114224026
1041002310122440
1112078a89155167
124722632848320
1319b5669340954
14a1a745667652
154b186e1a3d10
hex254a98213bc8

41002310122440 has 128 divisors (see below), whose sum is σ = 126978346828800. Its totient is φ = 10580953743360.

The previous prime is 41002310122379. The next prime is 41002310122511. The reversal of 41002310122440 is 4422101320014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41002310122440.

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 31 ways as a sum of consecutive naturals, for example, 159656856 + ... + 159913464.

It is an arithmetic number, because the mean of its divisors is an integer number (992018334600).

Almost surely, 241002310122440 is an apocalyptic number.

41002310122440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41002310122440 is an abundant number, since it is smaller than the sum of its proper divisors (85976036706360).

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

41002310122440 is a wasteful number, since it uses less digits than its factorization.

41002310122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299607 (or 299603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41002310122440 its reverse (4422101320014), we get a palindrome (45424411442454).

The spelling of 41002310122440 in words is "forty-one trillion, two billion, three hundred ten million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 42953 85906 128859 171812 214765 256609 257718 343624 429530 513218 515436 644295 769827 859060 1026436 1030872 1283045 1288590 1331543 1539654 1718120 2052872 2566090 2577180 2663086 3079308 3849135 3994629 5132180 5154360 5326172 6158616 6657715 7698270 7954879 7989258 10264360 10652344 13315430 15396540 15909758 15978516 19973145 23864637 26630860 30793080 31819516 31957032 39774395 39946290 47729274 53261720 63639032 79548790 79892580 95458548 119323185 159097580 159785160 190917096 238646370 318195160 477292740 954585480 11022126377 22044252754 33066379131 44088505508 55110631885 66132758262 88177011016 110221263770 132265516524 165331895655 220442527540 264531033048 330663791310 341685917687 440885055080 661327582620 683371835374 1025057753061 1322655165240 1366743670748 1708429588435 2050115506122 2733487341496 3416859176870 4100231012244 5125288765305 6833718353740 8200462024488 10250577530610 13667436707480 20501155061220 41002310122440