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1402200022041 = 3271337103449249
BaseRepresentation
bin10100011001111001101…
…000100101110000011001
311222001022201201111100200
4110121321220211300121
5140433201201201131
62552054540452413
7203206552350330
oct24317150456031
94861281644320
101402200022041
114a07403a2425
121a7909b4a109
13a22c4645570
144bc1c890d17
152671b3832e6
hex14679a25c19

1402200022041 has 96 divisors (see below), whose sum is σ = 2585034816000. Its totient is φ = 712643899392.

The previous prime is 1402200022037. The next prime is 1402200022051.

1402200022041 is a `hidden beast` number, since 1 + 402 + 2 + 0 + 0 + 0 + 220 + 41 = 666.

1402200022041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1402200022041 - 22 = 1402200022037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1402200022051) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2896585 + ... + 3345833.

It is an arithmetic number, because the mean of its divisors is an integer number (26927446000).

Almost surely, 21402200022041 is an apocalyptic number.

It is an amenable number.

1402200022041 is a deficient number, since it is larger than the sum of its proper divisors (1182834793959).

1402200022041 is a wasteful number, since it uses less digits than its factorization.

1402200022041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449415 (or 449412 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 14022000 and 22041, that added together give a palindrome (14044041).

The spelling of 1402200022041 in words is "one trillion, four hundred two billion, two hundred million, twenty-two thousand, forty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 103 111 117 259 273 309 333 481 721 777 819 927 1339 1443 2163 2331 3367 3811 4017 4329 6489 9373 10101 11433 12051 26677 28119 30303 34299 49543 80031 84357 148629 240093 346801 445887 449249 1040403 1347747 3121209 3144743 4043241 5840237 9434229 16622213 17520711 28302687 40881659 46272647 49866639 52562133 116355491 122644977 138817941 149599917 216088769 323908529 349066473 367934931 416453823 601544411 648266307 971725587 1047199419 1512621383 1712087939 1804633233 1944798921 2915176761 4210810877 4537864149 5136263817 5413899699 11984615573 12632432631 13613592447 15408791451 22257143207 35953846719 37897297893 66771429621 107861540157 155800002449 200314288863 467400007347 1402200022041