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1034297136016 = 2471235812
BaseRepresentation
bin11110000110100001110…
…10011101001110010000
310122212200221112110021221
433003100322131032100
5113421220031323031
62111052145054424
7134503563412144
oct17032072351620
93585627473257
101034297136016
11369708850901
12148554027414
13766c29b9671
14380bb471224
151bd8775aa11
hexf0d0e9d390

1034297136016 has 45 divisors (see below), whose sum is σ = 2033140646929. Its totient is φ = 509722404800.

The previous prime is 1034297135969. The next prime is 1034297136023. The reversal of 1034297136016 is 6106317924301.

The square root of 1034297136016 is 1017004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 921991721616 + 112305414400 = 960204^2 + 335120^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 288827346 + ... + 288830926.

Almost surely, 21034297136016 is an apocalyptic number.

1034297136016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1034297136016 is the 1017004-th square number.

It is an amenable number.

1034297136016 is a deficient number, since it is larger than the sum of its proper divisors (998843510913).

1034297136016 is an frugal number, since it uses more digits than its factorization.

1034297136016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 1034297136016 in words is "one trillion, thirty-four billion, two hundred ninety-seven million, one hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 8 16 71 142 284 568 1136 3581 5041 7162 10082 14324 20164 28648 40328 57296 80656 254251 508502 1017004 2034008 4068016 12823561 18051821 25647122 36103642 51294244 72207284 102588488 144414568 205176976 288829136 910472831 1820945662 3641891324 7283782648 14567565296 64643571001 129287142002 258574284004 517148568008 1034297136016