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1040269444096 = 210318732
BaseRepresentation
bin11110010001101001110…
…01000000010000000000
310200110010011111010210111
433020310321000100000
5114020432434202341
62113520532241104
7135104563244101
oct17106471002000
93613104433714
101040269444096
113711a2a88303
12149740170194
137713510ab7c
14384c67123a8
151c0d6c23681
hexf234e40400

1040269444096 has 33 divisors (see below), whose sum is σ = 2079588246141. Its totient is φ = 520118403072.

The previous prime is 1040269444073. The next prime is 1040269444127. The reversal of 1040269444096 is 6904449620401.

The square root of 1040269444096 is 1019936.

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., 228713497600 + 811555946496 = 478240^2 + 900864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32622016 + ... + 32653888.

Almost surely, 21040269444096 is an apocalyptic number.

1040269444096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1040269444096 is the 1019936-th square number.

It is an amenable number.

1040269444096 is a deficient number, since it is larger than the sum of its proper divisors (1039318802045).

1040269444096 is an frugal number, since it uses more digits than its factorization.

1040269444096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63766 (or 31875 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 1040269444096 by its sum of digits (49), we get a square (50973202760704 = 71395522).

The spelling of 1040269444096 in words is "one trillion, forty billion, two hundred sixty-nine million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 31873 63746 127492 254984 509968 1019936 2039872 4079744 8159488 16318976 32637952 1015888129 2031776258 4063552516 8127105032 16254210064 32508420128 65016840256 130033680512 260067361024 520134722048 1040269444096