Search a number
-
+
1414051016 = 237219918127
BaseRepresentation
bin101010001001000…
…1011010011001000
310122112210020022212
41110102023103020
510343444113031
6352152004252
750020143500
oct12422132310
93575706285
101414051016
11666216504
12335690688
13196c5b1a1
14d5b2ca00
158421d12b
hex5448b4c8

1414051016 has 48 divisors (see below), whose sum is σ = 3099888000. Its totient is φ = 602943264.

The previous prime is 1414050983. The next prime is 1414051021. The reversal of 1414051016 is 6101504141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1414050982 and 1414051000.

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, 68945 + ... + 87071.

It is an arithmetic number, because the mean of its divisors is an integer number (64581000).

Almost surely, 21414051016 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 1414051016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549944000).

1414051016 is an abundant number, since it is smaller than the sum of its proper divisors (1685836984).

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

1414051016 is a wasteful number, since it uses less digits than its factorization.

1414051016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18346 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1414051016 is about 37603.8696944876. The cubic root of 1414051016 is about 1122.4190422811.

Adding to 1414051016 its reverse (6101504141), we get a palindrome (7515555157).

It can be divided in two parts, 14140 and 51016, that added together give a palindrome (65156).

The spelling of 1414051016 in words is "one billion, four hundred fourteen million, fifty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 199 392 398 796 1393 1592 2786 5572 9751 11144 18127 19502 36254 39004 72508 78008 126889 145016 253778 507556 888223 1015112 1776446 3552892 3607273 7105784 7214546 14429092 25250911 28858184 50501822 101003644 176756377 202007288 353512754 707025508 1414051016