Search a number
-
+
14035743540 = 223257133723159
BaseRepresentation
bin11010001001001100…
…00111001100110100
31100020011201122111100
431010212013030310
5212221122243130
610240430410100
71004550565050
oct150446071464
940204648440
1014035743540
115a528a1955
122878660930
131428b451c0
1497213cc60
15572343c60
hex344987334

14035743540 has 288 divisors, whose sum is σ = 53818652160. Its totient is φ = 2881225728.

The previous prime is 14035743467. The next prime is 14035743671. The reversal of 14035743540 is 4534753041.

14035743540 is a `hidden beast` number, since 1 + 40 + 3 + 5 + 74 + 3 + 540 = 666.

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 = 14035743495 and 14035743504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 594481 + ... + 617639.

It is an arithmetic number, because the mean of its divisors is an integer number (186870320).

Almost surely, 214035743540 is an apocalyptic number.

14035743540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14035743540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26909326080).

14035743540 is an abundant number, since it is smaller than the sum of its proper divisors (39782908620).

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

14035743540 is a wasteful number, since it uses less digits than its factorization.

14035743540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23231 (or 23226 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 14035743540 in words is "fourteen billion, thirty-five million, seven hundred forty-three thousand, five hundred forty".