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1005531040514 = 271113502263257
BaseRepresentation
bin11101010000111100101…
…00100000101100000010
310120010110012001101200102
432220132110200230002
5112433311421244024
62045533511522402
7132434665551410
oct16503624405402
93503405041612
101005531040514
11358497070560
12142a66389402
1373a8a159c90
143694cc602b0
151b2521181ae
hexea1e520b02

1005531040514 has 32 divisors (see below), whose sum is σ = 2025125456256. Its totient is φ = 361629544320.

The previous prime is 1005531040471. The next prime is 1005531040519. The reversal of 1005531040514 is 4150401355001.

It is a super-2 number, since 2×10055310405142 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005531040519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251129627 + ... + 251133630.

It is an arithmetic number, because the mean of its divisors is an integer number (63285170508).

Almost surely, 21005531040514 is an apocalyptic number.

1005531040514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005531040514 is an abundant number, since it is smaller than the sum of its proper divisors (1019594415742).

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

1005531040514 is a wasteful number, since it uses less digits than its factorization.

1005531040514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502263290.

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 1005531040514 its reverse (4150401355001), we get a palindrome (5155932395515).

The spelling of 1005531040514 in words is "one trillion, five billion, five hundred thirty-one million, forty thousand, five hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 502263257 1004526514 3515842799 5524895827 6529422341 7031685598 11049791654 13058844682 38674270789 45705956387 71823645751 77348541578 91411912774 143647291502 502765520257 1005531040514