Search a number
-
+
14286102744 = 23331113251677
BaseRepresentation
bin11010100111000010…
…01010000011011000
31100212121211012202110
431103201022003120
5213224220241434
610321332432320
71014010604214
oct152341120330
940777735673
1014286102744
116071150491
1229284786a0
131468982244
149974ad944
155892e94e9
hex35384a0d8

14286102744 has 128 divisors (see below), whose sum is σ = 37396961280. Its totient is φ = 4542720000.

The previous prime is 14286102731. The next prime is 14286102791. The reversal of 14286102744 is 44720168241.

It is a super-2 number, since 2×142861027442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21101734 + ... + 21102410.

It is an arithmetic number, because the mean of its divisors is an integer number (292163760).

Almost surely, 214286102744 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 14286102744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698480640).

14286102744 is an abundant number, since it is smaller than the sum of its proper divisors (23110858536).

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

14286102744 is a wasteful number, since it uses less digits than its factorization.

14286102744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 14286102744 in words is "fourteen billion, two hundred eighty-six million, one hundred two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 113 124 186 226 248 251 339 372 452 502 677 678 744 753 904 1004 1354 1356 1506 2008 2031 2708 2712 3012 3503 4062 5416 6024 7006 7781 8124 10509 14012 15562 16248 20987 21018 23343 28024 28363 31124 41974 42036 46686 56726 62248 62961 76501 83948 84072 85089 93372 113452 125922 153002 167896 169927 170178 186744 226904 229503 251844 306004 339854 340356 459006 503688 509781 612008 679708 680712 879253 918012 1019562 1359416 1758506 1836024 2039124 2371531 2637759 3517012 4078248 4743062 5267737 5275518 7034024 7114593 9486124 10535474 10551036 14229186 15803211 18972248 19201751 21070948 21102072 28458372 31606422 38403502 42141896 56916744 57605253 63212844 76807004 115210506 126425688 153614008 230421012 460842024 595254281 1190508562 1785762843 2381017124 3571525686 4762034248 7143051372 14286102744