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1414031213312 = 28471006111681
BaseRepresentation
bin10100100100111010110…
…101000000001100000000
312000011212021012021122222
4110210322311000030000
5141131413442311222
63001332540150212
7204106003666334
oct24447265001400
95004767167588
101414031213312
114a5761835553
121aa070238368
13a345b824063
144c621cc97c4
1526baedab542
hex1493ad40300

1414031213312 has 72 divisors (see below), whose sum is σ = 2883126197952. Its totient is φ = 691844710400.

The previous prime is 1414031213297. The next prime is 1414031213321. The reversal of 1414031213312 is 2133121304141.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121048112 + ... + 121059792.

It is an arithmetic number, because the mean of its divisors is an integer number (40043419416).

Almost surely, 21414031213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414031213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441563098976).

1414031213312 is an abundant number, since it is smaller than the sum of its proper divisors (1469094984640).

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

1414031213312 is a wasteful number, since it uses less digits than its factorization.

1414031213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21805 (or 21791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1414031213312 its reverse (2133121304141), we get a palindrome (3547152517453).

The spelling of 1414031213312 in words is "one trillion, four hundred fourteen billion, thirty-one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 3008 6016 10061 11681 12032 20122 23362 40244 46724 80488 93448 160976 186896 321952 373792 472867 549007 643904 747584 945734 1098014 1287808 1495168 1891468 2196028 2575616 2990336 3782936 4392056 7565872 8784112 15131744 17568224 30263488 35136448 60526976 70272896 117522541 121053952 140545792 235045082 470090164 940180328 1880360656 3760721312 5523559427 7521442624 11047118854 15042885248 22094237708 30085770496 44188475416 88376950832 176753901664 353507803328 707015606656 1414031213312