Search a number
-
+
1416714384 = 243318311471
BaseRepresentation
bin101010001110001…
…0101100010010000
310122201210112210010
41110130111202100
510400134330014
6352325034520
750051605431
oct12434254220
93581715703
101416714384
11667775538
12336555a40
13197681547
14d6223488
1584597359
hex54715890

1416714384 has 80 divisors (see below), whose sum is σ = 3823755264. Its totient is φ = 451459200.

The previous prime is 1416714307. The next prime is 1416714401. The reversal of 1416714384 is 4834176141.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117769 + ... + 129239.

Almost surely, 21416714384 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 1416714384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911877632).

1416714384 is an abundant number, since it is smaller than the sum of its proper divisors (2407040880).

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

1416714384 is a wasteful number, since it uses less digits than its factorization.

1416714384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11590 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 1416714384 is about 37639.2665178268. The cubic root of 1416714384 is about 1123.1232931723.

The spelling of 1416714384 in words is "one billion, four hundred sixteen million, seven hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 372 496 498 664 744 996 1328 1488 1992 2573 3984 5146 7719 10292 11471 15438 20584 22942 30876 34413 41168 45884 61752 68826 91768 123504 137652 183536 275304 355601 550608 711202 952093 1066803 1422404 1904186 2133606 2844808 2856279 3808372 4267212 5689616 5712558 7616744 8534424 11425116 15233488 17068848 22850232 29514883 45700464 59029766 88544649 118059532 177089298 236119064 354178596 472238128 708357192 1416714384