Search a number
-
+
314320241040 = 243513100743667
BaseRepresentation
bin1001001001011101111…
…00100100000110010000
31010001022111222122102220
410210232330210012100
520122211440203130
6400221405341040
731465101652251
oct4445674440620
91101274878386
10314320241040
11111336644353
1250b01267780
13238428a4610
14112dad7ab28
15829999d410
hex492ef24190

314320241040 has 80 divisors (see below), whose sum is σ = 1049346045888. Its totient is φ = 77371135488.

The previous prime is 314320241033. The next prime is 314320241047. The reversal of 314320241040 is 40142023413.

It is an interprime number because it is at equal distance from previous prime (314320241033) and next prime (314320241047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 314320241040.

It is not an unprimeable number, because it can be changed into a prime (314320241047) 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, 50368714 + ... + 50374953.

Almost surely, 2314320241040 is an apocalyptic number.

314320241040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314320241040 is an abundant number, since it is smaller than the sum of its proper divisors (735025804848).

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

314320241040 is a wasteful number, since it uses less digits than its factorization.

314320241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100743696 (or 100743690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314320241040 its reverse (40142023413), we get a palindrome (354462264453).

The spelling of 314320241040 in words is "three hundred fourteen billion, three hundred twenty million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 100743667 201487334 302231001 402974668 503718335 604462002 805949336 1007436670 1208924004 1309667671 1511155005 1611898672 2014873340 2417848008 2619335342 3022310010 3929003013 4029746680 4835696016 5238670684 6044620020 6548338355 7858006026 8059493360 10477341368 12089240040 13096676710 15716012052 19645015065 20954682736 24178480080 26193353420 31432024104 39290030130 52386706840 62864048208 78580060260 104773413680 157160120520 314320241040