Search a number
-
+
1714140144 = 24343735747
BaseRepresentation
bin110011000101011…
…1011001111110000
311102110110100020000
41212022323033300
512002304441034
6442031550000
760322644063
oct14612731760
94373410200
101714140144
117aa650952
123ba08b300
1321418a712
141239268da
15a0748599
hex662bb3f0

1714140144 has 100 divisors (see below), whose sum is σ = 5095448424. Its totient is φ = 555921792.

The previous prime is 1714140041. The next prime is 1714140161. The reversal of 1714140144 is 4410414171.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30079 + ... + 65825.

Almost surely, 21714140144 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 1714140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547724212).

1714140144 is an abundant number, since it is smaller than the sum of its proper divisors (3381308280).

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

1714140144 is a wasteful number, since it uses less digits than its factorization.

1714140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35804 (or 35789 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1714140144 is about 41402.1755950095. The cubic root of 1714140144 is about 1196.7830839152.

The spelling of 1714140144 in words is "one billion, seven hundred fourteen million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 11988 15984 23976 35747 47952 71494 107241 142988 214482 285976 321723 428964 571952 643446 857928 965169 1286892 1322639 1715856 1930338 2573784 2645278 2895507 3860676 3967917 5147568 5290556 5791014 7721352 7935834 10581112 11582028 11903751 15442704 15871668 21162224 23164056 23807502 31743336 35711253 46328112 47615004 63486672 71422506 95230008 107133759 142845012 190460016 214267518 285690024 428535036 571380048 857070072 1714140144