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14404033112021 = 7217416119013637
BaseRepresentation
bin1101000110011011001101…
…0001101110011111010101
31220000000022211111122100122
43101212303101232133111
53341443424434041041
650345042122521325
73014441240214500
oct321466321563725
956000284448318
1014404033112021
1146537971a7813
121747721666245
138063aa0082b7
1437b232124137
1519ea3690cc4b
hexd19b346e7d5

14404033112021 has 96 divisors (see below), whose sum is σ = 18486791707104. Its totient is φ = 11141867520000.

The previous prime is 14404033111973. The next prime is 14404033112023. The reversal of 14404033112021 is 12021133040441.

It can be written as a sum of positive squares in 16 ways, for example, as 13916704860100 + 487328251921 = 3730510^2 + 698089^2 .

It is not a de Polignac number, because 14404033112021 - 26 = 14404033111957 is a prime.

It is a super-5 number, since 5×144040331120215 (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404033112023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3960414215 + ... + 3960417851.

It is an arithmetic number, because the mean of its divisors is an integer number (192570746949).

Almost surely, 214404033112021 is an apocalyptic number.

It is an amenable number.

14404033112021 is a deficient number, since it is larger than the sum of its proper divisors (4082758595083).

14404033112021 is a wasteful number, since it uses less digits than its factorization.

14404033112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 14404033112021 its reverse (12021133040441), we get a palindrome (26425166152462).

The spelling of 14404033112021 in words is "fourteen trillion, four hundred four billion, thirty-three million, one hundred twelve thousand, twenty-one".

Divisors: 1 7 17 41 49 61 119 287 427 697 833 1037 1901 2009 2501 2989 3637 4879 7259 13307 17507 25459 32317 34153 42517 50813 61829 77941 93149 115961 122549 149117 178213 221857 226219 297619 432803 545587 811727 1043819 1324997 1552999 1583533 1971337 2083333 2534989 3029621 3771569 3819109 4754401 5682089 6913937 7306733 9096137 9274979 10870993 13799359 17744923 26400983 33280807 48397559 63672959 64924853 80824817 96595513 117536929 124214461 154634329 184806881 232965649 283471417 338782913 421750157 445710713 565773719 822758503 1082440303 1984299919 2952251099 3960416033 4819014089 5759309521 7169752669 7577082121 13890099433 17291756437 20665757693 33733098623 50188268683 121042295059 236131690361 293959859429 351317880781 847296065413 2057719016003 14404033112021