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1042204141456 = 24172150132
BaseRepresentation
bin11110010101010000011…
…01010010011110010000
310200122002222221221122021
433022220031102132100
5114033413230011311
62114440523421224
7135203535015142
oct17125015223620
93618088857567
101042204141456
11371aa6082045
12149ba0084814
1377382b9c7ca
143862b64cc92
151c19b9d7171
hexf2a8352790

1042204141456 has 45 divisors (see below), whose sum is σ = 2145181126611. Its totient is φ = 490416339456.

The previous prime is 1042204141411. The next prime is 1042204141493. The reversal of 1042204141456 is 6541414022401.

The square root of 1042204141456 is 1020884.

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

It can be written as a sum of positive squares in 4 ways, for example, as 271320141456 + 770884000000 = 520884^2 + 878000^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69412606 + ... + 69427618.

Almost surely, 21042204141456 is an apocalyptic number.

1042204141456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1042204141456 is the 1020884-th square number.

It is an amenable number.

1042204141456 is an abundant number, since it is smaller than the sum of its proper divisors (1102976985155).

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

1042204141456 is an frugal number, since it uses more digits than its factorization.

1042204141456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30068 (or 15032 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 1042204141456 its reverse (6541414022401), we get a palindrome (7583618163857).

The spelling of 1042204141456 in words is "one trillion, forty-two billion, two hundred four million, one hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 15013 30026 60052 120104 240208 255221 510442 1020884 2041768 4083536 4338757 8677514 17355028 34710056 69420112 225390169 450780338 901560676 1803121352 3606242704 3831632873 7663265746 15326531492 30653062984 61306125968 65137758841 130275517682 260551035364 521102070728 1042204141456