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5414001012 = 2233713154667
BaseRepresentation
bin1010000101011001…
…10001100101110100
3111222022101202012000
411002230301211310
542041441013022
62253120455300
7251110151340
oct50254614564
914868352160
105414001012
112329076102
12107117a530
13683862bc4
1439506c620
1521a4836ac
hex142b31974

5414001012 has 96 divisors (see below), whose sum is σ = 16164234240. Its totient is φ = 1535021280.

The previous prime is 5414000993. The next prime is 5414001013. The reversal of 5414001012 is 2101004145.

It is a super-2 number, since 2×54140010122 = 58622813915874048288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414001013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71703 + ... + 126369.

It is an arithmetic number, because the mean of its divisors is an integer number (168377440).

Almost surely, 25414001012 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 5414001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8082117120).

5414001012 is an abundant number, since it is smaller than the sum of its proper divisors (10750233228).

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

5414001012 is a wasteful number, since it uses less digits than its factorization.

5414001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54818 (or 54810 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5414001012 is about 73579.8954334674. The cubic root of 5414001012 is about 1755.9256013055.

Adding to 5414001012 its reverse (2101004145), we get a palindrome (7515005157).

The spelling of 5414001012 in words is "five billion, four hundred fourteen million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 378 393 524 756 786 917 1179 1572 1834 2358 2751 3537 3668 4716 5502 7074 8253 11004 14148 16506 24759 33012 49518 54667 99036 109334 164001 218668 328002 382669 492003 656004 765338 984006 1148007 1476009 1530676 1968012 2296014 2952018 3444021 4592028 5904036 6888042 7161377 10332063 13776084 14322754 20664126 21484131 28645508 41328252 42968262 50129639 64452393 85936524 100259278 128904786 150388917 193357179 200518556 257809572 300777834 386714358 451166751 601555668 773428716 902333502 1353500253 1804667004 2707000506 5414001012