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1321034434432 = 27193971368233
BaseRepresentation
bin10011001110010011110…
…010011100011110000000
311200021211011100102202021
4103032103302130132000
5133120434303400212
62450512544331224
7164304315264166
oct23162362343600
94607734312667
101321034434432
1146a27a5540a9
12194037913b14
139775aba774b
1447d1cdc3236
152456a8c5307
hex13393c9c780

1321034434432 has 64 divisors (see below), whose sum is σ = 2777241373200. Its totient is φ = 624176492544.

The previous prime is 1321034434429. The next prime is 1321034434439. The reversal of 1321034434432 is 2344344301231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321034434439) 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 7 ways as a sum of consecutive naturals, for example, 281388 + ... + 1649620.

Almost surely, 21321034434432 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 1321034434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388620686600).

1321034434432 is an abundant number, since it is smaller than the sum of its proper divisors (1456206938768).

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

1321034434432 is a wasteful number, since it uses less digits than its factorization.

1321034434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368663 (or 1368651 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 1321034434432 its reverse (2344344301231), we get a palindrome (3665378735663).

The spelling of 1321034434432 in words is "one trillion, three hundred twenty-one billion, thirty-four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 397 608 794 1216 1588 2432 3176 6352 7543 12704 15086 25408 30172 50816 60344 120688 241376 482752 965504 1368233 2736466 5472932 10945864 21891728 25996427 43783456 51992854 87566912 103985708 175133824 207971416 415942832 543188501 831885664 1086377002 1663771328 2172754004 3327542656 4345508008 8691016016 10320581519 17382032032 20641163038 34764064064 41282326076 69528128128 82564652152 165129304304 330258608608 660517217216 1321034434432