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1071341381344 = 251316371573207
BaseRepresentation
bin11111001011100001110…
…11000010011011100000
310210102022121211002122011
433211300323002123200
5120023101343200334
62140100055522304
7140254560326323
oct17456073023340
93712277732564
101071341381344
11383398309693
12153772089394
137a0475a9660
1439bd32727ba
151cd049dd564
hexf970ec26e0

1071341381344 has 48 divisors (see below), whose sum is σ = 2272838768928. Its totient is φ = 494162883072.

The previous prime is 1071341381281. The next prime is 1071341381347. The reversal of 1071341381344 is 4431831431701.

It is a happy number.

1071341381344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10713413813442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071341381297 and 1071341381306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071341381347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105612 + ... + 1467595.

It is an arithmetic number, because the mean of its divisors is an integer number (47350807686).

Almost surely, 21071341381344 is an apocalyptic number.

It is an amenable number.

1071341381344 is an abundant number, since it is smaller than the sum of its proper divisors (1201497387584).

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

1071341381344 is a wasteful number, since it uses less digits than its factorization.

1071341381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574867 (or 1574859 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1071341381344 in words is "one trillion, seventy-one billion, three hundred forty-one million, three hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1637 3274 6548 13096 21281 26192 42562 52384 85124 170248 340496 680992 1573207 3146414 6292828 12585656 20451691 25171312 40903382 50342624 81806764 163613528 327227056 654454112 2575339859 5150679718 10301359436 20602718872 33479418167 41205437744 66958836334 82410875488 133917672668 267835345336 535670690672 1071341381344