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1421413233312 = 253177971092803
BaseRepresentation
bin10100101011110010110…
…101001011001010100000
312000212220201202202101010
4110223302311023022200
5141242023241431222
63004553242340520
7204456642063462
oct24536265131240
95025821682333
101421413233312
114a88aa794426
121ab5904ba740
13a4067014727
144cb2248a132
1526e92ed680c
hex14af2d4b2a0

1421413233312 has 96 divisors (see below), whose sum is σ = 3955653237312. Its totient is φ = 445373640704.

The previous prime is 1421413233299. The next prime is 1421413233313. The reversal of 1421413233312 is 2133323141241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1421413233312.

It is not an unprimeable number, because it can be changed into a prime (1421413233313) 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 15 ways as a sum of consecutive naturals, for example, 754303 + ... + 1847105.

It is an arithmetic number, because the mean of its divisors is an integer number (41204721222).

Almost surely, 21421413233312 is an apocalyptic number.

1421413233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421413233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977826618656).

1421413233312 is an abundant number, since it is smaller than the sum of its proper divisors (2534240004000).

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

1421413233312 is a wasteful number, since it uses less digits than its factorization.

1421413233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093630 (or 1093622 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 1421413233312 its reverse (2133323141241), we get a palindrome (3554736374553).

The spelling of 1421413233312 in words is "one trillion, four hundred twenty-one billion, four hundred thirteen million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 797 816 1594 1632 2391 3188 4782 6376 9564 12752 13549 19128 25504 27098 38256 40647 54196 76512 81294 108392 162588 216784 325176 433568 650352 1092803 1300704 2185606 3278409 4371212 6556818 8742424 13113636 17484848 18577651 26227272 34969696 37155302 52454544 55732953 74310604 104909088 111465906 148621208 222931812 297242416 445863624 594484832 870963991 891727248 1741927982 1783454496 2612891973 3483855964 5225783946 6967711928 10451567892 13935423856 14806387847 20903135784 27870847712 29612775694 41806271568 44419163541 59225551388 83612543136 88838327082 118451102776 177676654164 236902205552 355353308328 473804411104 710706616656 1421413233312