Search a number
-
+
14013533144 = 23131966110729
BaseRepresentation
bin11010000110100010…
…11000101111011000
31100011121221020120002
431003101120233120
5212144431030034
610234314352132
71004161031522
oct150321305730
940147836502
1014013533144
115a41301956
12287112b648
131424369960
1496d1daa12
15570407e7e
hex343458bd8

14013533144 has 64 divisors (see below), whose sum is σ = 29833692000. Its totient is φ = 6117534720.

The previous prime is 14013533141. The next prime is 14013533147. The reversal of 14013533144 is 44133531041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14013533141) and next prime (14013533147).

It is a super-2 number, since 2×140135331442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013533141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300772 + ... + 1311500.

Almost surely, 214013533144 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 14013533144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916846000).

14013533144 is an abundant number, since it is smaller than the sum of its proper divisors (15820158856).

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

14013533144 is a wasteful number, since it uses less digits than its factorization.

14013533144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11428 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 14013533144 in words is "fourteen billion, thirteen million, five hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 661 988 1322 1976 2644 5288 8593 10729 12559 17186 21458 25118 34372 42916 50236 68744 85832 100472 139477 163267 203851 278954 326534 407702 557908 653068 815404 1115816 1306136 1630808 2650063 5300126 7091869 10600252 14183738 21200504 28367476 56734952 92194297 134745511 184388594 269491022 368777188 538982044 737554376 1077964088 1751691643 3503383286 7006766572 14013533144