Search a number
-
+
14701928040 = 2332540838689
BaseRepresentation
bin11011011000100110…
…11001111001101000
31101221121021022211100
431230103121321220
5220102143144130
610430505201400
71030220216652
oct155423317150
941847238740
1014701928040
116264945158
122a23790260
131503b74a07
149d67d36d2
155b0a86c60
hex36c4d9e68

14701928040 has 48 divisors (see below), whose sum is σ = 47781267300. Its totient is φ = 3920514048.

The previous prime is 14701928023. The next prime is 14701928063. The reversal of 14701928040 is 4082910741.

It can be written as a sum of positive squares in 2 ways, for example, as 14323781124 + 378146916 = 119682^2 + 19446^2 .

It is a super-3 number, since 3×147019280403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14701927986 and 14701928004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20418985 + ... + 20419704.

Almost surely, 214701928040 is an apocalyptic number.

14701928040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14701928040 is an abundant number, since it is smaller than the sum of its proper divisors (33079339260).

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

14701928040 is a wasteful number, since it uses less digits than its factorization.

14701928040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40838706 (or 40838699 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14701928040 in words is "fourteen billion, seven hundred one million, nine hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 40838689 81677378 122516067 163354756 204193445 245032134 326709512 367548201 408386890 490064268 612580335 735096402 816773780 980128536 1225160670 1470192804 1633547560 1837741005 2450321340 2940385608 3675482010 4900642680 7350964020 14701928040