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1414000200432 = 243231725774219
BaseRepresentation
bin10100100100111000111…
…110101100101011110000
312000011210002211122222210
4110210320332230223300
5141131333022403212
63001325511332120
7204105146251641
oct24447076545360
95004702748883
101414000200432
114a5746283076
121aa061981040
13a3455286041
144c61bb356c8
1526bac2d253c
hex14938facaf0

1414000200432 has 80 divisors (see below), whose sum is σ = 3811924949760. Its totient is φ = 450808444416.

The previous prime is 1414000200383. The next prime is 1414000200463. The reversal of 1414000200432 is 2340020004141.

It is a junction number, because it is equal to n+sod(n) for n = 1414000200399 and 1414000200408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19014619 + ... + 19088837.

It is an arithmetic number, because the mean of its divisors is an integer number (47649061872).

Almost surely, 21414000200432 is an apocalyptic number.

1414000200432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1414000200432 is an abundant number, since it is smaller than the sum of its proper divisors (2397924749328).

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

1414000200432 is a wasteful number, since it uses less digits than its factorization.

1414000200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91510 (or 91504 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1414000200432 its reverse (2340020004141), we get a palindrome (3754020204573).

The spelling of 1414000200432 in words is "one trillion, four hundred fourteen billion, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 17257 34514 51771 69028 74219 103542 138056 148438 207084 222657 276112 296876 396911 414168 445314 593752 793822 828336 890628 1187504 1190733 1587644 1707037 1781256 2381466 3175288 3414074 3562512 4762932 5121111 6350576 6828148 9525864 10242222 13656296 19051728 20484444 27312592 40968888 81937776 1280797283 2561594566 3842391849 5123189132 7684783698 10246378264 15369567396 20492756528 29458337509 30739134792 58916675018 61478269584 88375012527 117833350036 176750025054 235666700072 353500050108 471333400144 707000100216 1414000200432