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4430444340201 = 31121743128912953
BaseRepresentation
bin100000001111000101100…
…0011111010001111101001
3120200112202021122210110120
41000132023003322033221
51040042022222341301
613231152410033453
7635042353350345
oct100361303721751
916615667583416
104430444340201
111458a39368400
125b6796a18889
13261a34896659
14114612974625
157a3a54ede36
hex4078b0fa3e9

4430444340201 has 96 divisors (see below), whose sum is σ = 7040936327040. Its totient is φ = 2466292899840.

The previous prime is 4430444340169. The next prime is 4430444340211. The reversal of 4430444340201 is 1020434440344.

It is not a de Polignac number, because 4430444340201 - 25 = 4430444340169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4430444340211) 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, 342033541 + ... + 342046493.

It is an arithmetic number, because the mean of its divisors is an integer number (73343086740).

Almost surely, 24430444340201 is an apocalyptic number.

It is an amenable number.

4430444340201 is a deficient number, since it is larger than the sum of its proper divisors (2610491986839).

4430444340201 is a wasteful number, since it uses less digits than its factorization.

4430444340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14327 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4430444340201 its reverse (1020434440344), we get a palindrome (5450878780545).

The spelling of 4430444340201 in words is "four trillion, four hundred thirty billion, four hundred forty-four million, three hundred forty thousand, two hundred one".

Divisors: 1 3 11 17 33 43 51 121 129 187 363 473 561 731 1289 1419 2057 2193 3867 5203 6171 8041 12953 14179 15609 21913 24123 38859 42537 55427 65739 88451 142483 155969 166281 220201 241043 265353 427449 467907 556979 609697 660603 723129 942259 1567313 1670937 1829091 2422211 2651473 2826777 4701939 6126769 6706667 7266633 7954419 9468643 10364849 16696417 18380307 20120001 26644321 28405929 31094547 50089251 67394459 79932963 104155073 114013339 183660587 202183377 283839089 312465219 342040017 550981761 717945931 851517267 1145705803 2020266457 2153837793 3122229979 3437117409 6060799371 7897405241 9366689937 12205080827 23692215723 34344529769 36615242481 86871457651 103033589307 134255889097 260614372953 402767667291 1476814780067 4430444340201