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1042001122304 = 2109291095349
BaseRepresentation
bin11110010100111000001…
…10110101010000000000
310200121120211221111201102
433022130012311100000
5114033004241403204
62114404432153532
7135165521254442
oct17123406652000
93617524844642
101042001122304
11371a0151781a
12149b440988a8
137734cac922c
143860c6c2492
151c188c8341e
hexf29c1b5400

1042001122304 has 44 divisors (see below), whose sum is σ = 2085228748500. Its totient is φ = 520439267328.

The previous prime is 1042001122303. The next prime is 1042001122313. The reversal of 1042001122304 is 4032211002401.

It can be written as a sum of positive squares in 2 ways, for example, as 213813760000 + 828187362304 = 462400^2 + 910048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042001122301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 403622 + ... + 1498970.

Almost surely, 21042001122304 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 1042001122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042614374250).

1042001122304 is an abundant number, since it is smaller than the sum of its proper divisors (1043227626196).

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

1042001122304 is an equidigital number, since it uses as much as digits as its factorization.

1042001122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096298 (or 1096280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1042001122304 its reverse (4032211002401), we get a palindrome (5074212124705).

The spelling of 1042001122304 in words is "one trillion, forty-two billion, one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 929 1024 1858 3716 7432 14864 29728 59456 118912 237824 475648 951296 1095349 2190698 4381396 8762792 17525584 35051168 70102336 140204672 280409344 560818688 1017579221 1121637376 2035158442 4070316884 8140633768 16281267536 32562535072 65125070144 130250140288 260500280576 521000561152 1042001122304