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14010540354 = 234538531913
BaseRepresentation
bin11010000110001011…
…11110000101000010
31100011102022012020000
431003011332011002
5212143144242404
610234130300430
71004123425266
oct150305760502
940142265200
1014010540354
115a3a648378
122870127716
13142385c685
1496ca5c0a6
15570016339
hex34317e142

14010540354 has 80 divisors (see below), whose sum is σ = 32040566712. Its totient is φ = 4574299392.

The previous prime is 14010540347. The next prime is 14010540389. The reversal of 14010540354 is 45304501041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12444518025 + 1566022329 = 111555^2 + 39573^2 .

It is a super-2 number, since 2×140105403542 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7322902 + ... + 7324814.

Almost surely, 214010540354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14010540354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020283356).

14010540354 is an abundant number, since it is smaller than the sum of its proper divisors (18030026358).

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

14010540354 is a wasteful number, since it uses less digits than its factorization.

14010540354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14010540354 in words is "fourteen billion, ten million, five hundred forty thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 853 954 1431 1706 1913 2559 2862 3826 4293 5118 5739 7677 8586 11478 15354 17217 23031 34434 45209 46062 51651 69093 90418 101389 103302 135627 138186 154953 202778 271254 304167 309906 406881 608334 813762 912501 1220643 1631789 1825002 2441286 2737503 3263578 3661929 4895367 5475006 7323858 8212509 9790734 14686101 16425018 29372202 44058303 86484817 88116606 132174909 172969634 259454451 264349818 518908902 778363353 1556726706 2335090059 4670180118 7005270177 14010540354